---------------------------------------- -------------------------- ,transcriber's ,note ,special characters3 ,this ,,utf-#h text file uses the following special characters3 ,if these do not display1 you may prefer to use the ,,html version which provides mouse-hovers for the more unusual characters1 or the ,,iso-#hhei-a text which transliterates them4 ,printer errors3 ,obvious typographical errors in the original have been corrected in this version1 and full details of the corrections can be found in the ,,html version of this ebook4 ,however1 the inconsistent spelling of ,ottawa_/,ottowa1 and the inconsistent use of comma or full-stop as thousands separators has been left as in the original4 ,the value given for the eccentricity of ,uranus may also be a printer error4 ---------------------------------------- -------------------------- ,,outlines ,,of ,a ,,mechanical ,,theory ,,of ,,storms1 ,,containing ,,the ,,true ,,law ,,of ,,lunar ,,influence1 ,,with ,,practical ,,instructions ,,to ,,the ,,navigator1 ,,to ,,enable ,,him ,,approximately ,,to ,,calculate ,,the ,,coming ,,changes ,,of ,,the ,,wind ,,and ,,weather1 ,,for ,,any ,,given ,,day1 ,,and ,,for ,,any ,,part ,,of ,,the ,,ocean4 ,,by ,t4 ,,bassnett4 ,,new ,,york3 ,d4 ,,appleton ,,company1 #cdf #cdh ,,broadway1 ,,and #af ,,little ,,britain1 ,,london4 #ahed4 ,entered1 according to ,act of ,congress1 in the year #ahec1 by ,t4 ,,bassnett1 ,in the ,clerk's ,office of the ,southern ,district of ,new ,york4 ,,contents4 ,,section ,,first4 ,present ,state of the ,science of ,meteorology--,primordial ,condition of the ,solar ,system--,theory of ,gravitation the great key of ,nature--,bessell's doubts of its perfect adequacy--the ,newtonian ,vacuum3 its difficulties--,nature of the element called ,ether--,the ,medium of ,space and the ,electric ,fluid--,ponderosity of ,matter--,dynamical law of ,equilibrium--,specific heat and its relation to space--,a ,plenum not opposed to ,gravitation--,the medium of space in motion--,formation of ,vortices--,a new principle developed--,elements of the problem--,hutton's theory of the production of rain--,indications of change and the cause--,action of the ,ethereal ,current--,physical process of ,atmospheric ,derangement--,redfield's theory of ,storms3 its difficulties--,all storms are of brief duration and limited extent4 #ac ,,section ,,second4 ,mechanical action of the ,moon--,the ,moon's mass--,axis of the ,terral ,vortex affected by the ,moon3 its inclination and position3 its displacement--,an example of the principle--,corrections necessary--,milwaukie storm--,new ,york storm--,ottawa storm--,liverpool storm--,names and recurring order of the storm-producing agents--,record of the weather--,second ,new ,york storm4 #eh ,,section ,,third4 ,lunar influence rejected by the learned--,their conclusions not valid--,modifying causes in accordance with these principles--,years and seasons vary in character--,superficial temperature of different ,planets--,no storms on the planet ,mars--,rotation the cause of ,ocean and ,atmospheric ,currents--,pressure of the atmosphere and its regular and irregular variations--,terrestrial ,magnetism--,internal ,constitution of the ,globe--,magnetic variations--,cause of these variations--,magnetic storms--,aurora ,borealis3 its altitude--,earthquakes2 their possible connection with ,storms4 #aja ,,section ,,fourth4 ,the solar spots--,law of periodicity compared with the theory--,existence of another planet beyond ,neptune probable--,masses of the ,sun and ,planet yet uncertain--,the ,law of ,gravitation not above suspicion--,proofs of this--,the full of the ,moon--,density of the ,ethereal ,medium3 its law in the ,solar ,vortex--,bode's law of the planetary distances--,law of planetary density--,law connecting the present and former diameters of the planets--,disturbing action of the ,ether--,kepler's third law not rigidly exact--,inconsistencies of ,astronomers--,nature of light and heat--,distinction between light and heat4 #adg ,,section ,,fifth4 ,comets--,their small inclinations--,their motions chiefly direct--,comet of #aggj and #ahdd--;,cause of acceleration in the case of ,encke--,anomalous motions of the comet of #ahdc--;,change of diameter at different distances of a comet from the sun--,cause of this change--,nature of the nebulosity--,formation of the tail--,compound nature of a comet's light--motion and direction of a comet's tail--,phenomena presented by the great comet of ,halley--,mass of a comet--,the ,zodial light--,nebulous stars--,shooting stars--,periodic showers--,periodicity doubtful--,cause of the apparent periodicity--,cause for being more numerous in ,autumn than in ,spring4 #ahg ,,section ,,sixth4 ,state of the polar ice since #ahde--,sir ,john ,franklin's track--,probable existence of islands north of ,behring's ,straits--,possibility of subsisting in the ,arctic islands--,news from the ,investigator--,necessity of searching in a higher latitude than the ,investigator visited--,franklin's misfortunes due to ,scientific ,errors--,relative levels of the ,atlantic and ,pacific ,oceans--,the ,arctic seas more accessible in a few years--,conclusion4 #bcc ,,preface4 ,on presenting to the public a work of this novel character1 overstepping1 as it does1 the barriers erected by modern systems to the further progress of knowledge1 a few words of explanation may not be inappropriate4 ,early imbued with a desire to understand the causes of natural phenomena1 the author devoured with avidity the interpretations contained in the elementary works of orthodox science1 until reason and observation rendered him dissatisfied with the repast4 ,to him it appeared that there was an evident tendency in scholastic instruction1 to make the knowledge of nature inaccessible to the many1 that the world might be made more dependent on the few2 while many of the established principles1 on which the learned rested1 seemed to be at variance with the simplicity and consistency of truth4 ,thus situated1 he ventured to think for himself1 and looking back on the history of the past1 and finding so many cases in which the philosophy of to-day was supplanted by a different system on the morrow1 he was led to suspect the possibility of future revolutions1 and was thus determined to be no longer embarrassed by previous systems1 nor deterred by opinions however learned1 which conflicted with a rational recognition of the mechanical nature of all physical phenomena4 ,the science of meteorology1 to which the following pages are devoted1 is1 and always has been1 a confessedly complex subject2 and on this account1 any suggestions and facts which observation gleans1--no matter how humble the source may be1 should not be denied a hearing by those professedly engaged in the pursuit of truth4 ,step by step1 the author became more and more confirmed in his doubts of the soundness of many modern theories2 and in #ahch he had attained a position which enabled him to allege in the public prints of the day1 that there did exist certain erroneous dogmas in the schools1 which stood in the way of a fuller development of the causes of many meteorological phenomena4 ,this annunciation was made in general terms1 and no notice was taken of it4 ,subsequently1 he forwarded to the ,british ,association of ,science1 then convened at ,birmingham1 a communication of similar tenor2 and at a later date still1 a more particular statement of the advantages of his discoveries to the navigator and agriculturist1 was sent to the ,british admiralty4 ,the first of these communications was treated with silent contempt2 the last elicited some unimportant reply4 ,in #ahdd a memorial was presented to ,congress1 accompanied with a certified copy of predictions of the weather1 written several weeks before the event1 and attested in due form by two impartial witnesses2 but neither did this result in any inquiry as to its truth4 ,during the time since elapsed1 he has been engaged in pursuits which prevented him from pressing the subject elsewhere1 until the spring of #ahec1 he brought his theory under the notice of the ,smithsonian ,institution4 ,this led to a correspondence between himself and the gentlemanly ,secretary of the ,institution1 whose doubts of the truth of his allegations were expressed with kindness1 and whose courtesy was in strange contrast with the conduct of others4 ,in the communications which he forwarded to that ,institution1 he gave a detailed statement of the difficulties he had met with1 and expressed the hope that an ,institution1 created for the purpose of increasing and diffusing knowledge1 would feel justified in lending the influence of its name to facilitate the completion of a theory which was yet undeniably imperfect4 ,in view of this1 a test was proposed4#a ,give us1 for example1 a prediction of the weather for one month in each season of the year #ahed1 for the ,city of ,washington4 ,this test the author refused1 for the reason that he did not consider it necessary to wait so long2 but he informed the ,secretary of the ,institution1 that he would prepare an outline of his theory1 which would enable him to decide upon the merits of the discoveries claimed4 ,this outline is contained in the following pages4 ,during the summer of #ahec he called upon ,professor ,henry1 then at ,chicago1 with his manuscript2 but a sudden indisposition prevented that gentleman from having it read4 ,he1 however1 strongly recommended its publication from such impressions he then received4#b ,this the author had resolved on1 from a sense of duty to the world at large1 although the promise was rather of prospective loss than of present benefit4 ,the peculiar form under which the theory appears1 is1 therefore1 a result of the circumstances above stated1 and of the author's present inability to enter into the minute details of a subject1 which embraces in its range the whole visible creation4 ,in extending the theory to other phenomena1 he has only fearlessly followed out the same principles which have conducted him to a knowledge of a disturbing cause1 to which atmospheric storms owe their origin1 and in doing so he has conferred with no one4 ,for whatever of merit or of blame may therefore justly attach to these views1 he alone is responsible4 ,if he has charged the scientific with inconsistency1 or with sometimes forgetting that the truth of their unnecessarily abstruse investigations depends on the truth of the data1 he at least is conscientious2 for he is too well aware that to provoke an unfavorable verdict by contending against such fearful odds1 is not the surest way to either wealth or fame1 or even to an acknowledgment of at least the mite1 which he cannot but feel that he has contributed to the treasury of knowledge4 ,that the scientific organisations of the day do tend to curb the aberrations of a fanciful philosophy1 cannot be denied2 but at the same time there is engendered such a slavish subordination as checks the originality of thought1 and destroys that perfect freedom from the trammels of system1 so necessary to success in the pursuit of truth4 ,of such an influence the author explicitly asserts his entire independence4 ,in thus introducing his theory1 the reader is forewarned that he will not find it dressed in the fascinating garb of the popular literature of the day1 whose chief characteristic is to promise much when possessing little4 ,it is1 however1 a plant of the author's own raising1 unpropped1 unpruned1 with none of the delicate tendrils or graceful festoons of the trellissed vine2 yet he flatters himself that its roots are watered by the springs of truth1 and hopes that he who is in quest of that1 will not find1 amidst its many clusters1 any fruit to set his teeth on edge4 ,,footnotes3 #a ,extract from a letter from ,professor ,henry4 #b ,this gentleman kindly offered to contribute from his own private means1 to forward the publication1 but he could do nothing officially without submitting the manuscript to three different censors4 ,he who claims a new discovery1 will seldom be satisfied to have it judged by men who are engaged in the same investigations1 however pure and honorable they may be4 ,is this ,institution adopting the best plan of aiding truth1 in its struggles against error8 ,should any man sit as judge in his own trial8 ,if there had been a powerful ,institution to stand between ,galileo and the scientific of his day1 his doctrines would not have been condemned1 and the world would have been fifty years more in advance4 ,,mechanical ,,theory ,,of ,,storms4 ,,section ,,first4 ,,present ,,state ,,of ,,meteorology4 ,the present state of the science of which we are about to treat1 cannot be better defined than in the words of the celebrated ,humboldt1 who has devoted a long life to the investigation of this department of ,physics4 ,he says3 ,the processes of the absorption of light1 the liberation of heat1 and the variations in the elastic and electric tension1 and in the hygrometric condition of the vast arial ocean1 are all so intimately connected together1 that each individual meteorological process is modified by the action of all the others4 ,the complicated nature of these disturbing causes1 increases the difficulty of giving a full explanation of these involved meteorological phenomena2 and likewise limits1 or wholly precludes the possibility of that predetermination of atmospheric changes1 which would be so important for horticulture1 agriculture1 and navigation1 no less than for the comfort and enjoyment of life4 ,those who place the value of meteorology in this problematic species of prediction1 rather than in the knowledge of the phenomena themselves1 are firmly convinced that this branch of science1 on account of which so many expeditions to distant mountainous regions have been undertaken1 has not made any very considerable progress for centuries past4 ,the confidence which they refuse to the physicist they yield to changes of the moon1 and to certain days marked in the calender by the superstition of a by-gone age4 ,the charge thus skilfully repelled1 contains1 however1 much truth2 there has been no adequate return of the vast amount of labor and expense thus far devoted to this branch of knowledge4 ,and it is not wonderful that the popular mind should expect a result which is so much in accordance with the wants of mankind4 ,who is there whose happiness1 and health1 and comfort1 and safety1 and prosperity1 may not be more or less affected by reducing to law1 the apparently irregular fluctuations of the weather1 and the predetermination of the storm8 ,to do this would be the crowning triumph of the age2 and the present theory has pioneered the way for its speedy accomplishment4 ,,original ,,condition ,,of ,,the ,,earth4 ,that the present order of things had a beginning1 is taught by every analogy around us1 and as we have the glaring fact forced upon us1 that our globe has experienced a far higher temperature on its surface than obtains at present1 and moreover1 as it is demonstrated beyond a cavil1 that the interior is now of far higher temperature than is due to solar radiation1 we are justified in concluding1 not only that the condition of the interior of our globe is that of fusion1 but that its original temperature was far higher than at present2 so that the inference is allowable that there has been a time when the whole globe was perhaps in this state4 ,but why should we stop here8 ,there are three states of matter1 the solid1 the fluid1 and the gaseous2 and with this passing glance at the question1 we will jump at once to the theory of ,la ,place1--that not only our own globe1 but the whole solar system1 has been once in the nebulous state4 ,in justice to himself1 the author ought to remark1 that he had reasoned his way up to this starting point1 before even the name of ,la ,place had reached his ears4 ,he makes the remark in order to disclaim any desire to appropriate that which belongs to another2 as he may innocently speak of things hereafter1 the idea of which has occurred to others4 ,it is not his intention here to say a word pro or con on the nebular hypothesis2 it is sufficient to allude to the facts1 that the direction of rotation and of revolution is the same for all the planets and satellites of our system2 and that the planes on which these motions are performed1 are nearly coincident4 ,that this concordance is due to one common cause1 no one acquainted with the theory of probabilities will pretend to deny4 ,,great ,,object ,,of ,,la ,,place4 ,the science of ,astronomy occupies a pre-eminent rank in the physical circle1 not only on account of that dignity conferred upon it in the most remote antiquity1 or as being the grand starting point--the earliest born of science--from whence we must contemplate the visible creation1 if we would reduce its numerous details into one harmonious whole2 but also on account of its practical fruits1 of the value of which modern commerce is an instance4 ,accordingly we will glance at its past history4 ,in the earliest ages there was no doubt a rational view entertained of the movements of the planets in space4 ,from the ,chaldeans to the ,arabs1 a belief prevailed1 that space was filled with a pure ethereal fluid1 whose existence probably did not rest on any more solid foundation than analogy or tradition4 ,one hundred years after ,copernicus had given to the world the true arrangements of our planetary system1 ,descartes advanced his theory of vortices in the ethereal medium1 in which the planets were borne in orbits around the sun1 and the satellites around their primaries4 ,this idea retained its ground with various additions1 until the ,geometry of ,newton reconciled the laws of ,kepler with the existence of a power pertaining to matter1 varying inversely as the squares of the distances1 to which power he showed the weight of terrestrial bodies was owing1 and also the revolution of the moon about the earth4 ,since ,newton's day1 those deviations from the strict wording of ,kepler's laws1 have been referred to the same law1 and the avowed object of the author of the ,mechanique ,celeste1 was to bring all the great phenomena of nature within the grasp of analysis1 by referring them to one single principle1 and one simple law4 ,and in his ,introduction to the ,theory of the ,moon1 he remarks3 ,hence it incontestibly follows1 that the law of gravitation is the sole cause of the lunar inequalities4 ,,bessel',s ,,opinion4 ,however beautiful the conception1 it must be admitted that in its priori aspect1 it was not in accordance with human experience and analogy to anticipate a successful issue4 ,in nature law re-acts upon law1 and change induces change1 through an almost endless chain of consequences2 and it might be asked1 why a simple law of matter should thus be exempt from the common lot8 ,why1 in a word1 there should be no intrinsic difference in matter1 by which the gravitation of similar or dissimilar substances should be affected8 ,but experiment has detected no such differences2 a globe of lead and a globe of wood1 of equal weight1 attract contiguous bodies with equal force4 ,it is evident1 therefore1 that if there be such differences1 human means are not yet refined enough to detect them4 ,was the issue successful then8 ,generally speaking1 we may say yes4 ,but where there is a discrepancy between theory and observation1 however small that may be1 it shows there is still something wanting2 and a high authority 7,professor ,bessel7 says in relation to this3 ,but ,i think that the certainty that the theory based upon this law1 perfectly explains all the observations1 is not correctly inferred4 ,we will not here enumerate the cases to which suspicion might be directed1 neither will we more than just allude to the fact1 that the ,theory of ,newton requires a vacuum1 in order that the planetary motions may be mathematically exact1 and permanent in their stability4 ,a ,,vacuum ,,required ,,by ,,modern ,,systems4 ,whatever may be the practical belief of the learned1 their fundamental principles forbid the avowal of a plenum1 although the undulatory theory of light renders a plenum necessary1 and is so far virtually recognized by them1 and a correction for resistance is applied to the ,comet of ,encke4 ,yet there has been no attempt made to reconcile these opposing principles1 other than by supposing that the celestial regions are filled with an extremely rare and elastic fluid4 ,that no definite view has been agreed on1 is not denied1 and ,sir ,john ,herschel speculates on the reality of a resisting medium1 by suggesting questions that will ultimately have to be considered1 as3 ,what is the law of density of the resisting medium which surrounds the sun8 ,is it in rest or in motion8 ,if the latter1 in what direction does it move8 ,in these queries he still clings to the idea of ,encke1 that the resistance is confined to the neighborhood of the sun and planets1 like a ponderable fluid4 ,but the most profound analyst the world has ever boasted1 speaks less cautiously1 7,poisson ,rech47 ,it is difficult to attribute1 as is usually done1 the incandescence of arolites to friction against the molecules of the atmosphere1 at an elevation above the earth where the density of the air is almost null4 ,may we not suppose that the electric fluid1 in a neutral condition1 forms a kind of atmosphere1 extending far beyond the mass of our atmosphere1 yet subject to terrestrial attraction1 yet physically imponderable1 and1 consequently1 following our globe in its motion8 ,the incandescence of arolites must1 therefore1 be owing to friction against the molecules of the electric fluid which forms an atmosphere around the globe4 ,according to this view1 some force keeps it there1 yet it is not ponderable4 ,as it is of limited extent1 this is not the medium whose undulations brings to light the existence of the stars2 neither is ,encke's1 nor ,herschel's1 nor any other resisting medium4 ,where shall we find the present established principles of science8 ,if we grant the ,newtonians a plenum1 they still cling to attraction of all matter in some shape4 ,if we confine them to a vacuum1 they will virtually deny it4 ,is not this solemn trifling8 ,how much more noble would it be to exhibit a little more tolerance1 seeing that they themselves know not what to believe8 ,we do not offer these remarks as argument1 but merely as indications of that course of reasoning by which we conclude that the upholders of the present systems of science are not entitled to any other ground than the pure ,newtonian basis of an interplanetary vacuum4 ,,difficulties ,,of ,,this ,,view4 ,this1 then1 is the state of the case3 ,matter attracts matter directly as the mass1 and inversely as the squares of the distances4 ,this law is derived from the planetary motions2 space is1 consequently1 a void2 and1 therefore1 the power which gives mechanical momentum to matter1 is transferred from one end of creation to the other1 without any physical medium to convey the impulse4 ,at the present day the doctrines of ,descartes are considered absurd2 yet here is an absurdity of a far deeper dye1 without we resort to the miraculous1 which at once obliterates the connection between cause and effect1 which it is the peculiar province of physical science to develop4 ,let us take another view4 ,the present doctrine of light teaches that light is an undulation of an elastic medium necessarily filling all space2 and this branch of science probably rests on higher and surer grounds than any other4 ,every test applied to it by the refinements of modern skill1 strengthens its claims4 ,here then the ,newtonian vacuum is no longer a void4 ,if we get over this difficulty1 by attributing to this medium a degree of tenuity almost spiritual1 we shall run upon ,scylla while endeavoring to shun ,charybdis4 ,light and heat come bound together from the sun1 by the same path1 and with the same velocity4 ,heat is therefore due also to an excitement of this attenuated medium4 ,yet this heat puts our atmosphere in motion1 impels onward the waves of the sea1 wafts our ships to distant climes1 grinds our corn1 and in various ways does the work of man4 ,if we expose a mass of metal to the sun's rays for a single hour the temperature will be raised4 ,to do the same by an artificial fire1 would consume fuel1 and this fuel would generate the strength or force of a horse4 ,estimate1 therefore1 the amount of force received from the sun in a single day for the whole globe1 and we shall find that nothing but a material medium will suffice to convey this force4 ,let us appeal to analogy4 ,the undulations of our atmosphere produce sound2 that is1 convey to the ear a part of a mechanical force imparted to a solid body--a bell for instance4 ,let us suppose this force to equal one pound4 ,on account of the elasticity of the bell1 the whole of the force is not instantaneously imparted to the surrounding air2 but the denser the air the sooner it loses its motion4 ,in a dense fluid like water1 the motion is imparted quickly1 and the sound is not a ring but a click4 ,if we diminish the density of the air1 the loss of motion is retarded2 so that we might conceive it possible1 provided the bell could be suspended in a perfect vacuum1 without a mechanical tie1 and there was no friction to overcome from the rigidity of its particles1 that the bell would vibrate forever1 although its sound could never reach the ear4 ,we see1 therefore1 that the mechanical effect in a given time1 is owing to the density of the medium4 ,but can we resort to such an analogy8 ,every discovery in the science confirms more and more the analogy between the motions of air and the medium of space2 the angle of reflexion and incidence follows the same law in both2 the law of radiation and interference2 and if experiments were instituted1 there can be but little doubt that sound has also got its spectrum4 ,,ether ,,imponderable4 ,the medium of space1 therefore1 is capable of conveying a mechanical force from one body to another2 it therefore possesses inertia4 ,does it also possess gravity8 ,if we forsake not the principles of science1 it is but right that we expect science shall abide by her own principles4 ,condensation in every elastic medium is as the compressing power1 according to all experiments4 ,in the case of our atmosphere under the law of gravitation1 the density of air1 7supposing it to be infinitely expansible17 at a height only of ten semidiameters of the earth above its surface1 would have only a density equal to the density of one cubic inch of such air we breathe1 if that cubic inch was to be expanded so as to fill a globular space whose centre should be the earth1 and whose surface should take inside the whole visible creation4 ,such a medium could convey no mechanical force from the sun1 and therefore the medium of space cannot be ponderable4 ,simple as the argument is1 it is unassailable4 ,,electric ,,fluid ,,the ,,medium ,,of ,,space4 ,let us take yet another view4 ,all experiments prove that the phenomenon we call electricity1 is owing to a disturbance of the equilibrium or natural condition of a highly elastic fluid4 ,in certain conditions of the atmosphere1 this fluid is accumulated in the region of the clouds1 and by its tension is enabled to force a passage through opposing obstacles1 in order to restore the equilibrium4 ,by experiment it is found that dry dense air opposes the greatest obstacle to its escape4 ,as the air is rarefied1 this obstacle diminishes2 until in a vacuum the transmission may be considered instantaneous4 ,there ought to be1 therefore1 a greater escape of electricity from the clouds upwards than downwards2 and1 if space be void1 or only filled with an extremely attenuated matter1 the electricity of the earth1 considered as an elastic fluid without ponderosity1 7and no law of condensation from the law of gravity in harmony with its other attributes1 will allow us to consider it otherwise17 would long since have left the earth4 ,the same objection applies in the case of the galvanic and magnetic fluids4 ,if we entertain the idea that electricity is a mere disturbance of natural condition1 wherein two fluids are united1 and that an excess of one is necessarily attended by deficiency in the other1 we depart from the first rule of philosophy1 which teaches us to admit no greater number of causes than are sufficient to explain the phenomenon4 ,for we fearlessly assert that not a single fact exists in electrical science1 which can be explained better on ,dufoy's theory than on ,franklin's2 and the former objections would still apply4 ,,newtonian ,,gravity4 ,but what is gravity8 ,according to ,newton3 ,hc est qualitas omnium in quibus experimenta instituere licet1 et propterea per ,reg4 #c de universes affirmanda est4 ,vide ,prin4 ,lib4 ,ter4 ,cor4 #b4 ,prop4 vi4 ,now the other primary qualities of matter are unaffected by circumstances4 ,the inertia of a particle of matter is the same at ,jupiter as on the earth1 so also is its extension2 but not so with gravity4 ,it depends on other matter1 and on its distance from it2 and may be less or greater at different times1 and in different places4 ,it is1 therefore1 not philosophical to say that all matter is necessarily ponderous1 inasmuch as it is a virtue not residing in itself alone1 but needs the existence of other matter to call it into action4 ,if an atom were isolated in space it would have no weight4 ,if influenced by other matter1 there must be some physical medium to convey the influence1 or gravity is not in accordance with the laws of force and motion4 ,which horn of the dilemma shall we take8 ,let us first admit that there is a principle of gravitation1 affecting all planetary or atomic matter1 and that there exists a highly elastic medium1 pervading all space1 conveying to us the light of the most distant stars1 and that this medium is not affected by gravity4 ,in this summary way1 therefore1 we have arrived at the pivot on which this theory turns4 ,the prominent feature of the theory1 therefore1 is the necessity it will show for the existence of an all-pervading medium1 and that it possesses inertia without ponderosity4 ,that electricity is nothing more than the effects of the condensation and rarefaction of this medium by force4 ,that it also pervades all atomic matter1 whose motions necessarily move the medium2 and1 consequently1 that there can be no motion without some degree of electricity4 ,that no change can take place in bodies either by chemical decomposition1 by increase or decrease of temperature1 by friction or contact1 without in some measure exciting electricity or motion of the ether4 ,that galvanism and magnetism are but ethereal currents without condensation1 induced by peculiar superficial and internal molecular arrangement of the particles of certain substances4 ,that light and heat are effects of the vibrations of atoms1 propagated through this universal medium from body to body4 ,that the atomic motion of heat can be produced by the motion of translation or momentum of bodies in the gross1 that is1 by friction1 by compression1 c42 and can be reconverted into momentum at our pleasure4 ,hence the latent heat or specific atomic motion of combustibles1 originally derived from the sun1 is transferred to atoms1 which are capable of being inclosed in cylinders1 so as to make use of their force of expansion1 which is thus converted into momentum available for all the wants of man4 ,,gravity ,,mechanical4 ,when we come to a full examination of this theory1 we shall further reason that this ether so far from being of that quasi spiritual nature which astronomers would have us believe1 is a fearfully energetic fluid1 possessing considerable inertia and elasticity2 that its law of condensation is that of all other fluids1 that is1 as the compressing force directly2 and that its effects are simply a product of matter and motion4 ,we will next endeavor to prove that the gravity of planetary matter could not exist without this ethereal medium1 by showing that it is an effect produced by the interference of opposing waves1 whereby a body is prevented from radiating into space its own atomic motion1 from the side opposite which another body is placed1 as much as on the opposite side1 and consequently it is propelled by its own motion towards the other body4 ,and this effect following the simple law of inertia and radiation1 is directly as the mass1 and inversely as the squares of the distances4 ,,great ,,principle ,,of ,,dynamics4 ,one great principle to be kept in view in this investigation1 is that which teaches that the product of matter1 angular velocity1 and distance from the centre of motion1 must ever be a constant quality in every balanced system4 ,yet this principle does not seem to be observed in the case of the planets4 ,we will1 however1 endeavor to show that it is rigidly observed4 ,and we will extend the principle further1 and contend that all the phenomena of nature are consequences of the constant tendency of matter to conform to this principle of equilibrium1 when suffering temporary derangement from the operation of other laws4 ,that throughout the system of nature1 equal spaces possess equal force4 ,that what we call temperature1 is nothing more than the motion of equilibrium or atomic momentum of space2 or1 in other words1 that if all space were fluid1 and in a state of equilibrium1 the product of each atom of equal volume1 by its motion would be a constant quality4 ,from this it would seem to follow1 that the specific heat of bodies should be inversely as their atomic weights2 and this does1 no doubt1 approximately obtain as was proved by ,dulong and ,petit1 for metallic substances1 more recently by ,regnault1 and has since been extended by ,garnier to other substances4 ,but it is to the gaseous state that we must look for confirmation of the principle that equal spaces possess equal power2 and in doing so1 it will be necessary to bear in mind1 that the ether also is affected by temperature4 ,,specific ,,heat4 ,it has been contended by some that the medium which conveys the impression of light through transparent1 bodies1 is necessarily more dense within the body than without2 but according to this theory the converse is true4 ,a ray of light is a mechanical impulse1 propagated through an elastic medium1 and1 like a wave in water1 tends to the side of least resistance4 ,within a refracting body the ether is rarefied1 not only by the proximity of the atoms of the body 7or its density71 but also by the motions of those atoms2 so that if two simple gases of different specific gravity be made equal in density by compression1 their refraction will be approximately as their specific heats4 ,in the case of solids and liquids1 or even compound gases1 there is a continual absorption of motion to produce the cohesion of composition and aggregation4 ,and the specific heats of compound gases will be found greater than those of simple gases1 in proportion to the loss of volume by combination1 ceteris paribus4 ,if impenetrability be a law of matter1 the more a portion of atomic matter is condensed1 the less ether will be found in the same space4 ,the same is also true when the natural density or specific gravity of a gas is greater than that of another4 ,and the lighter the gas1 the more will this circumstance vitiate the experiments to determine its specific heat4 ,there is1 therefore1 this great source of fallacy in such experiments1 viz43 that the ether permeates all fluids and solids1 and that its specific heat probably far exceeds that of all other matter4 ,this is a fundamental position of the theory1 in support of which we will introduce a fact announced by ,m4 ,v4 ,regnault1 which was published in the ,comptes ,rendus of the ,french ,academy for ,april1 #ahec4 ,he says3 ,in the course of my researches ,i have encountered1 indeed1 at every step1 anomalies which appeared to me inexplicable1 in accordance with the theories formally recognized4 ,for the sake of illustration ,i will quote one instance3 #ast1 a mass of gas1 under a pressure of ten atmospheres1 is contained in a space which is suddenly doubled2 the pressure falls to five atmospheres4 #b;d4 ,two reservoirs of equal capacity are placed in a calorimeter2 the one is filled with a gas1 under a pressure of ten atmospheres2 the second is perfectly empty4 ,in these two experiments1 the initial and final conditions of the gas are the same2 but this identity of condition is accompanied by calorific results which are very different2 for while in the former experiment there is a reduction of temperature1 in the second the calorimeter does not indicate the slightest alteration of temperature4 ,this experiment tends to confirm the theory4 ,in the first experiment1 the sudden doubling of the space causes the ether also to expand1 inasmuch as the sides of the vessel prevent the instantaneous passage of the external ether4 ,in the second1 both vessels are full1 one of ether1 and the other of air mixed with ether2 so that there is no actual expansion of the space1 and consequently no derangement of the quantity of motion in that space4 ,,law ,,of ,,specific ,,heat4 ,from this view it is evident that the specific heat of elastic fluids can only be considered as approximately determined4 ,if equal spaces possess equal momenta1 and the ethereal or tomic matter be inversely as the weight of the atomic matter in the same space1 it follows that the product of the specific gravities and specific heats of the simple gases should be constant2 or that the specific heats should be inversely as the specific gravities1--taking pound for pound in determining those specific heats4 ,if we test the matter by the data now afforded1 it is best to obey the injunction1 ,in medio tutissimus ibis4 ,in the following table1 the first column are the values obtained by ,regnault2 in the second1 the former values2 and in the third1 the mean of the two4 ,gases4 ,reg4 specific heats4 ,former specific heats4 ,mean4 ,atmospheric air1 4#bcg 4#bfg 4#beb ,oxygen1 4#bah 4#bcf 4#bbg ,nitrogen1 4#bdd 4#bge 4#bfj ,hydrogen1 #c4dje #c4bid #c4cej ,the specific gravities of these gases1 according to the best tables in our possession1 are3 ,specific gravities4 ,mean4 ,products4 ,atmospheric air1 #a4jjjj 4#beb 4#beb ,oxygen1 #a4aaaa 4#bbg 4#beb ,nitrogen1 #j4igbb 4#bfj 4#beb ,hydrogen1 #j4jgde #c4cej 4#bdi ,as might be expected1 there is a greater discrepancy in the case of hydrogen4 ,if we test the principle by the vapor of water1 we must consider that it is composed of two volumes of hydrogen and one volume of oxygen1 and that one volume disappears2 or that one-third of the whole atomic motion is consumed by the interference of the vibrations of the ether1 necessary to unite the atoms1 and form an atom of water4 ,we must therefore form this product from its specific gravity and two-thirds of its specific heat4 ,on no one subject in chemistry has there been so much labor expended1 as in determining the specific heat of watery vapor4 ,in relation to this1 ,regnault observes3 ,it is important to remark that an immense number of experiments have been made1 to find the specific heat of steam1 and that it is about one-half of what it was thought to be4 ,he gives its value 4#dge2 but this is vitiated still1 by the non-recognition of the specific heat of the ether4 ,former experiments give 4#hdg4 ,perhaps ,regnault's numbers are entitled to the most weight4 ,instead of taking the mean1 therefore1 we will give double weight to his results2 so that we get 4#fjj for the specific heat of vapor1 and as its specific gravity is 4#fbe1 the product 4#djj 4#fbe is 4#bej1 the same as for hydrogen4 ,little importance1 however1 should be attached to such coincidences1 owing to the uncertainty of the numbers4 ,if our position be correct1 the specific heat of hydrogen should be #aj times greater than of oxygen4 ,the atomic weights are as #a to #h1 while their volumes are as #b to #a2 therefore1 for equal spaces1 the matter is as #a to #af4 ,calling the specific heat #aj to #a1 and taking the amount due to half the space1 the product becomes as #h to #af2 but in the rarer gas there is #h times as much ethereal momentum or matter1 which1 added to the atomic matter1 renders the spaces equal4#c ,regnault's results give a ratio of specific heats #a to #c4dje_/4bae #a to #ae4f4 ,,the ,,golden ,,mean4 ,the history of science proves how few have practically respected the adage of the ancients1 which we have chosen for our motto2 words which ought to be written in letters of gold in every language under the sun4 ,descartes1 by considering the mechanical impulse of the ether sufficient to explain the planetary motions1 failed to detect the force of gravity in the heavens4 ,newton1 on the other hand1 feeling that his law was sufficient to explain them1 and requiring a vacuum for its mathematical accuracy1 rejected the notion of an ethereal medium4 ,his successors1 following too closely in his footsteps1 and forgetting the golden law1 have forced themselves into a position by no means enviable4 ,the short-period comet has driven them to a resisting medium1 which1 while according to ,encke's hypothesis of increasing density around the sun1 it explains the anomalies of one periodical comet1 requires a different law of density for another1 and a negative resistance for a third4 ,,outlines ,,of ,,the ,,problem4 ,from the position we now occupy1 we can see the outlines of the problem before us1 viz43 ,to reconcile the existence of an ethereal medium with the law of gravitation1 and to show the harmony between them4 ,we shall thus occupy the middle ground1 and endeavor to be just to the genius of ,descartes1 without detracting from the glory of ,newton1 by demonstrating the reality of the ,cartesian vortices1 and by showing that the ether is not affected by gravitation1 but on the other hand is least dense in the centre of our system4 ,but what 7it may be asked7 has this to do with the theory of storms8 ,much every way4 ,and we may so far anticipate our subject as to assert that every phenomenon in meteorology where force is concerned1 is dependent on the motions of the great sea of electric fluid which surrounds us1 in connection with its great specific1 caloric4 ,if we are chargeable with overweening pretensions1 let it be attributed to the fact that for the last fifteen years we have treated the weather as an astronomical phenomenon1 calculated by simple formul1 and that the evidence of its truth has been almost daily presented to us1 so as to render it by this time one of the most familiar and palpable of all the great fundamental laws of nature4 ,true1 we have neither had means nor leisure to render the theory as perfect as we might have done1 the reason of which we have already communicated4 ,,motions ,,of ,,the ,,stars4 ,in investigating the question now before us1 we shall first take the case of an ethereal vortex without any reference to the ponderable bodies which it contains1 considering the ether to possess only inertia4 ,if there be a vortex around the sun1 it is of finite extent2 for if the ether be co-extensive with space1 and the stars likewise suns with surrounding vortices1 the solar vortex cannot be infinite4 ,that there is an activity in the heavens which the mere law of attraction is incompetent to account for1 is an admitted fact4 ,the proper motions of the fixed stars have occupied the attention of the greatest names in astronomy1 and motions have been detected1 which according to the theory of gravity1 requires the admission of invisible masses of matter in their neighborhood1 compared with which the stars themselves are insignificant4 ,but this is not the only difficulty4 ,no law of arrangement in the stars can exist that will save the ,stellar system from ultimate destruction4 ,the case assumed by ,sir ,john ,herschel1 of a cluster1 wherein the periods shall be equal1 cannot be made to fulfil the conditions of being very numerous1 without infringing the other condition--the non-intersection of their orbits2 while the outside stars would have to obey another law of gravitation1 and consequently would be still more liable to derangement from their ever-changing distances from each other1 and from those next outside2 in brief1 the stability of those stars composing the cluster would necessarily depend on the existence of outside stars1 and plenty of them4 ,but those outside stars would follow the common law of gravity1 and must ultimately bring ruin on the whole4 ,we know such clusters do exist in the heavens1 and that the law of gravity alone must bring destruction upon them4 ,this is a case wherein modern science has been instrumental in drawing a veil over the fair proportions of nature4 ,that such collections of stars are not designed thus to derange the order of nature1 proves priori1 that some other conservative principle must exist2 that the medium of space must contain many vortices--eddies1 as it were1 in the great ethereal ocean1 whose currents are sweeping along the whole body of stars4 ,we shall consider1 7as a faint shadowing of the glorious empire of ,omnipotence17 that the whole infinite extent of space is full of motion and power to its farthest verge2 and it may be an allowable stretch of the imagination to conceive that the whole comprises one infinite cylindrical vortex1 whose axis is the only thing in the universe in a state of absolute unchangeableness4 ,,vorticose ,,motion4 ,let us for a moment admit the idea of an infinite ocean of fluid matter1 having inertia without gravity1 and rotating around an infinite axis1 in this case there is nothing to counteract the effect of the centrifugal force4 ,the elasticity of the medium would only oppose resistance in a vortex of finite diameter4 ,where it is infinite1 each cylindrical layer is urged outward by its own motion1 and impelled also by those behind4 ,the result would be that all the fluid would at last have left the axis1 around which would exist an absolute and eternal void2 into which neither sound1 nor light1 nor aught material1 could enter4 ,the case of a finite vortex is very different4 ,however great the velocity of rotation1 and the tendency of the central parts to recede from the axis1 there would be an inward current down either pole1 and meeting at the equatorial plane to be thence deflected in radii4 ,but this radiation would be general from every part of the axis1 and would be kept up as long as the rotation continued1 if the polar currents can supply the drain of the radial stream1 that is1 if the axis of the vortex is not too long for the velocity of rotation and the elasticity of the ether1 there will be no derangement of the density1 only a tendency4 ,and in this case the periodic times of the parts of the vortex will be directly as the distances from the axis1 and the absolute velocities will be equal4 ,,formation ,,of ,,vortices4 ,there is reason to suspect that ,newton looked at this question with a jaundiced eye4 ,to do it justice1 we must consider the planetary matter in a vortex1 as the exponent of its motion1 and not as originating or directing it4 ,if planetary matter becomes involved in any vortex1 it introduces the law of gravitation1 which counteracts the expulsive force of the radial stream1 and is thus enabled to retain its position in the centre4 ,a predominating mass in the centre will1 by its influence1 retain other masses of matter at a distance from the centre1 even when exposed to the full power of the radial stream4 ,if the power of the central mass is harmoniously adjusted to the rotation of the vortex1 7and the co-existence of the phenomena is itself the proof that such an adjustment does obtain17 the two principles will not clash or interfere with each other4 ,or in other words1 that whatever might have been the initial condition of the solar vortex1 the ultimate condition was necessarily one of equilibrium1 or the system of the planets would not now exist4 ,with this view of its constitution1 we must consider that the periodic times of the planets approximately correspond to the times of the contiguous parts of the vortex4 ,consequently1 in the solar vortex1 the density of the ether is directly as the square roots of the distances from the axis4 ,this is not the place fully to enter into a discussion of the question1 or to show that the position of each planet in the system is due to the outstanding1 uncompensated1 portion of the expulsive force of the radial stream1 modified by the density of the ether within the planets1 and also by their own densities1 diameters1 inclinations of axis1 and periods of rotation4 ,that ,jupiter could not remain in the orbit of ,mercury1 nor ,mercury in that of ,jupiter1 by merely exchanging periods and distances1 but that each planet can only be in equilibrio in its own orbit4 ,that any change in the eccentricities of the planetary orbits will neither increase nor diminish the action of the radial stream of the vortex1 and consequently will not interfere with the law of gravitation4 ,in relation to the numerous questions that will spring up from such a position1 it is sufficient here to say1 that it is believed all objections can be satisfactorily answered2 while1 by this light1 a long range of phenomena that have hitherto baffled the sagacity of the wise1 come out plainly1 and discover their parentage4 ,in cometary astronomy we shall find much to substantiate these views4 ,the anomalies in their motions1 the discrepancies in their periods1 calculated from different sets of observations1 their nebulosities and appendages1 will all receive a satisfactory solution2 and these lawless wanderers of the deep be placed in a more interesting light4 ,,test ,,of ,a ,,theory4 ,it has been remarked that the best evidence of the truth of a theory1 is its ability to refer to some general principle1 the greatest number of relevant phenomena1 that1 like the component masses of the chiselled arch1 they may mutually bind and strengthen each other4 ,this we claim to be the characteristic of this theory4 ,at the outset it was not intended to allude to more than was actually necessary to give an outline of the theory1 and to introduce the main question1 yet untouched4 ,we have exhibited the stones of which the arch is composed2 but they may be pasteboard1--for the reader has not handled them4 ,we will now produce the keystone1 and put it in its place4 ,this he shall handle and weigh4 ,he will find it hard1--a block of granite1 cut from the quarry of observed facts1 and far too heavy to be held in its place by a mere pasteboard structure4 ,,enunciation ,,of ,,the ,,theory4 ,quitting1 therefore1 the region of the planets1 we will come down to the surface of our own globe1 to seek for some more palpable evidence of the truth of the following propositions3 #ast4 ,that space is filled with an elastic fluid1 possessing inertia without weight4 #b;d4 ,that the parts of this fluid in the solar system circulate1 after the manner of a vortex1 with a direct motion4 #c;d4 ,that there are also secondary vortices1 in which the planets are placed4 #dth4 ,that the earth is also placed in a vortex of the ethereal medium4 #eth4 ,that the satellites are passively carried around their primaries1 with the ethereal current1 and have no rotation relative to the ether1 and therefore they always present the same face to their primaries1 and have no vortex4 ,the consideration of these propositions involves many others1 many difficulties1 many apparent anomalies and contradictions1 which should bespeak for such a theory1--the offspring of observation1 without the aid afforded by the knowledge of others1 and of toil without leisure1--a large share of indulgence4 ,with this we will close these preliminary remarks1 and present our theory of the physical cause which disturbs the equilibrium of our atmosphere1 and which appears the principal agent in the production of storms1 in the following words3 ,the dynamical axis of the terral vortex passes through the centre of gravity of the earth and moon1 and is continually circulating over the earth's surface in both hemispheres1 in a spiral1--its latitude and longitude1 at any particular time1 being dependent1-- #ast4 ,on the relative mass of the moon4 #b;d4 ,on the inclination of the axis of the vortex to the earth's axis4 #c;d4 ,on the longitude of the ascending node of the vortex on the lunar orbit4 #dth4 ,on the longitude of the ascending node of the lunar orbit on the ecliptic4 #eth4 ,on the eccentricity of the lunar orbit at the time4 #fth4 ,on the longitude of the perigee of the lunar orbit at the time4 #gth4 ,on the moon's true anomaly at the time4 ,,mass ,,of ,,the ,,moon4 ,those elements which represent the moon's distance and motion are accurately known1 and may be taken from the ,nautical ,almanac1 being all embodied in the moon's parallax or semi-diameter1 and in the declination and right ascension2 but for the most important element1--the moon's mass1 we in vain look to astronomy4 ,in fact1 it may be averred that the importance attached to astronomical authority1 concerning the mass of the moon1 has caused more trouble than any other question of the whole theory1 until we trusted implicitly to the theory itself to determine it4 ,the determination of three unknown elements1 viz43 the moon's mass1 the inclination of the axis of the vortex1 and the right ascension of that axis1 is a more difficult problem than at first sight appears1 owing to the nature of the phenomena1 which affords the only clue for its solution4 ,there are six principal vortices ever in operation on the surface of the earth1 and their disturbing influence extends from #bjj to #djj miles4 ,to find the precise centre1 by one observer confined to one place1 is difficult2 and to separate them1 so as to be fully assured that you have the right one1 is perhaps still more so4 ,happily this tedious labor is accomplished1 and we are able with confidence to give the following important elements1 as very close approximations to the truth3 ,mass of the moon #a_/gb4c ,obliquity of the axis of the vortex #ae to #cb variable4 ,right ascension of ditto #bej to #bij variable4 ,it must be borne in mind that we are now discussing the main or central vortex of the earth2 but before applying them to the calculation1 we will explain the modus operandi1 waiving for the present the consideration of the law of density in the ,terral vortex4 ,it is evident at first sight that if the periodic times of the parts of the vortex contiguous to the moon1 are equal to the moon's period approximately1 that the velocity of the ether is greater at the surface of the earth than the velocity of that surface4 ,now1 we have before argued that the ether possesses inertia1 it therefore would under such circumstances exert some mechanical action4 ,consequently1 the arial envelope of our globe1 or its superior stratum1 is impelled eastward by convection#d of the more rapidly rotating ether4 ,and from the extreme tenuity of its upper layers1 is probably forced into immense waves1 which will observe to a certain degree1 a general parallelism north and south4 ,,atmospheric ,,currents4 ,it is a well-known fact1 that the prevailing current of the atmosphere in high latitudes is from the westward4 ,the cause of this is ascribed by ,professor ,dove to the transfer of the equatorial portions to a higher latitude1 by which the excess of its rotative velocity is made apparent1 by outstripping the slower moving surface in its progress eastward4 ,no doubt some effect is due to this1 but still a difficulty remains4 ,let us follow this current4 ,the polar current reaches the surface on the borders of the trades with less rotative velocity than the surface1 and is1 therefore1 met by the surface as a current partaking of both motions4 ,in the northern hemisphere it is north-east deflected to east as it approaches the southern trades4 ,by the same reasoning1 coming from the north before it readies the surface1 it ought to be also a north-east wind above the lower westerly currents4 ,now it is an observed fact1 that while in the latitude of ,new ,york1 for instance1 the lower westerly winds are to the easterly1 as #c or #d to #a1 in the highest regions of observed clouds1 the ratio is much increased2 and according to our own observations in this place1#e we have never seen the highest cirrus clouds moving westward4 ,how then is this continual interchange kept up8 ,assuredly we cannot have a current from the poles without a contrary current to the poles4 ,if we go into the arctic circle1 we again find the westerly and northerly winds predominating4 ,if the current from the equator follows the surface1 the westerly winds ought to be south-west4 ,if it be above the surface wind1 then the surface wind is the polar current1 and ought to be north-east4 ,whereas1 from the testimony of all who have visited these regions1 the prevailing winds are north-west4 ,how can this be8 ,again1 it is proved that the upper current near the equator is also from the westward--as near due west as possible4 ,take the latitude of ,st ,vincent4 ,the difference between the cosine of #ac and radius applied to the circumference1 is about #fjj miles1 which would give #be miles per hour to the eastward1 in lat4 #ac4 ,but to do this1 it is necessary to transfer it suddenly from the equator2 for by a slow motion the easterly tendency would be lost4 ,give it #bd hours from the equator to lat4 #ac1 without any loss of easterly tendency1 and it comes to that latitude with a velocity of #ch miles per hour to the northward1 and only #be to the eastward2 we have1 therefore1 a wind from south-west by south4 ,yet it is known that in the tropics the highest visible clouds move from the westward4 ,but as no such case could occur as a transfer in twenty-four hours without loss1 and if we diminish the time1 the wind is still more southerly4 ,meteorologists usually cite the falling of ashes at ,jamaica during the eruption of ,coseguina1 in ,guatamala1 in ,february #ahce1 as coming from south-west1 whereas the true direction was about west south-west1 and the trade wind below was about north4 ,but do we deny that there is an interchange between the frigid and torrid zones8 ,by no means2 but we would show that the great controlling power is external to our atmosphere1 and that the relative velocities of the earth and the atmosphere is not alone adequate to account for it4 ,by this view the polar current is a north-west wind 7which is impossible by ,professor ,dove's theory71 or is carried eastward by electric convection4 ,,hutton',s ,,theory4 ,whether we adopt the views of ,fourier or ,poullet1 as to the temperature of the planetary spaces1 it is certain that it is at least equal to1 or less than1 the lowest temperature of our globe4 ,it is also a well-known fact1 that the capacity of air to hold vapor in solution1 increases in a higher ratio than the temperature1 so that the intermingling of saturated portions of air1 at different temperatures1 must necessarily be attended by precipitation of moisture4 ,this idea was advanced by ,doctor ,hutton1 and considered competent to account for the prominent meteorological phenomena1 until ,professor ,espy broached a questionable principle1 7and which is rendered still more so by the late investigations of ,regnault17 in opposition to ,hutton's theory4 ,that the theory is deficient1 no one can gainsay4 ,that ,espy has rendered the question clearer1 is equally hazardous to assert4 ,hutton failed in showing a cause for such intermingling on a sufficient scale2 while ,espy1 it may be suspected1 has misinterpreted facts1 and incautiously rejected the only element possessing the power of raising the storm4 ,,great ,,specific ,,heat ,,of ,,the ,,ether4 ,whatever may be the degree of condensation or rarefaction in the terral vortex1 there must necessarily be a current down the pole or axis1 thence to be deflected along the equatorial plane of the vortex1 and this drain will be as perpetual as the rarefaction of the centre1 7caused by the centrifugal force of rotation17 which calls it forth4 ,it will now be perceived that the fluid of the vortex1 which we shall still term ether1 is neither more nor less than the electric fluid1--the mighty energising principle of space1--the source of motion1--the cause of magnetism1 galvanism1 light1 heat1 gravity1 of the aurora1 the lightning1 the zodiacal light1 of the tails and nebulosities of comets1 of the great currents of our atmosphere1 of the samiel1 the hurricane1 and the earthquake4 ,it will be perceived that we treat it as any other fluid1 in relation to its law of motion and condensation4 ,but we have no right to base our calculations on its resistance1 by the analogies presented by ponderable or atomic matter4 ,atomic fluids1--even pure air1 may be considered viscid and tenacious when compared to an infinitely divisible fluid1 between whose particles 7if we may use the term7 no attraction of any kind exists4 ,no ponderable matter can come in close contact without feeling the influence of the gravitating force which1 at insensible distances1--such as the breadth of a wave of ether1 is increased in power1 and becomes a cohering and combining force4 ,we contend that this fluid is the only fluid of space2 when condensed it is positive1 and seeks to escape2 when rarefied it is negative1 and receives from the contiguous space a restoration of its power4 ,that it can give and receive1 from planetary matter1 what we call motion2 and consequently can affect the temperature of such matter1 and be in turn affected by it4 ,and finally that1 for its degree of inertia1 it exceeds in elasticity and specific heat all other matter4 ,,process ,,of ,,derangement4 ,this premised1 we see that as the axis of the vortex traverses the surface of the earth1 there is a tendency to derange the electric state of the parts travelled over1 by bringing the atmosphere and surface of the earth under the rarefied centre of the vortex4 ,for it is not the ether of the atmosphere alone that is affected4 ,it is called forth from the earth itself1 and partakes of the temperature of the crust1--carrying up into the upper regions the vapor-loaded atmosphere of the surface4 ,the weather now feels close and warm2 even in winter there is a balmy change in the feelings4 ,the atmosphere then fills with haze1 even to the highest regions of the clouds2 the clouds themselves are ill defined2 generally the wind comes in at ,e4 ,s-,e41 or ,s41 getting very fresh by the time it chops round to ,w4 ,in from six to twelve hours from the time of the meridian passage1 in this latitude1 the ,big ,cumuli have formed1 and commenced their march eastward4 ,in summer time there is always thunder and lightning1 when the passage is attended or followed by a storm4 ,in winter1 generally1 but not always4 ,in summer1 the diameter of the storm is contracted2 in winter1 dilated2 in consequence of this1 summer is the best season to trace the vortices of the earth through their revolutions4 ,let us now attend a little to the results4 ,the ether of the surface atmosphere partakes of the temperature of that atmosphere1 so also the ether of the earth's crust partakes of the temperature of the crust2 and its escape is rapid1 compared with the ascent of the air4 ,when it arrives at the colder layers of air above1 its temperature sinks1 and1 on account of the greater specific caloric1 it imparts a much higher temperature to those layers than is due to their position2 an elevation consequently takes place1--begetting a drain from below1 until the upper regions are loaded with a warm and vapory atmosphere4 ,if the action of the sun conspires at the same time to increase the effect1 the storm will be more violent4 ,in twelve hours after the meridian passage of the vortex1 the storm is brought under the parts of the ethereal atmosphere of the earth most remote from the axis2 a reaction now takes place2 the cold ether of space rushes in1 and1 on account of its great specific caloric1 it abstracts from the warm atmosphere more than pertains to the difference of temperature1 and there is a great condensation4 ,rain and hail may form in fearful quantities2 and when the equilibrium is restored1 the temperature will have fallen many degrees4 ,as it is important that we should have a clear view of the character of the ether1 we will revert to the principle we have advocated1 viz43 that in equal spaces there are equal momenta4 ,what the ether wants in inertia1 is made up by its motion or specific heat1 considering in this case inertia to stand for weight when compared with ponderable matter2 so that to raise an equivalent amount of inertia of ether to the same temperature as atmospheric air1 will require as much more motion or specific heat as its matter is less4 ,and this we conceive to be a law of space in relation to all free or gaseous matter4 ,to apply it to solids would require a knowledge of the amount of force constituting the cohesion of the solid4 ,,influence ,,of ,,diminished ,,pressure4 ,but there is another principle which modifies these effects4 ,we have already adverted to the action of the tangential current of the vortex forcing the outer layers of the atmosphere into waves4 ,these waves will be interfered with by the different vortices1 sometimes being increased and sometimes diminished by them4#f ,if these waves are supposed very wide1 7which would be the case in the attenuated outside layers of the atmosphere17 the action of the vortex will be greater in its passage over a place1 which at the time corresponded to the depression point of the wave1 that is1 to the line of low barometer2 because here there would be less resistance to overcome in the passage of the ether from the surface of the earth into space2 so that we may conceive each vortex making a line of storms each day around the earth1 separated by less disturbed intervals4 ,after the formation of the storm1 it of course has nothing to do with the vortex that produced it2 it travels in the general direction of the local atmosphere of the place--in intratropical latitudes westward1 in extratropical latitudes eastward4 ,if1 therefore1 the disturbance forms at the place of observation1 there will probably be no storm2 but further eastward its action would be more apparent or violent4 ,it is impossible1 of course1 to lay down any general description which shall meet every case4 ,it is a knowledge that can only be acquired by observation1 and then is not readily or easily communicated4 ,there are many contingencies to be allowed for1 and many modifying causes to keep sight of1 to enter into which would only be tedious2 we shall1 therefore1 confine ourselves to the prominent phenomena4 ,,action ,,of ,,the ,,polar ,,current4 ,we have seen how the passage of the axis of the vortex may derange the electric tension of the parts passed over2 but there is another mode of action not yet adverted to4 ,illustration3 ,fig4 #a ,when the moon is at her perigee1 the axis of the vortex passes through the centre of gravity of the earth and moon at ,c1 and cuts off the segment ,,rr4 ,at the apogee1 on account of her greater distance1 and of her consequent power to push the earth out from the axis of the vortex ,,xx1 the segment ,r,r is only cut off by the axis2 and the angle which the axis makes with the surface will vary with the arcs ,,ar and ,a,r2 for these arcs will measure the inclination from the nature of the circle4 ,in passing from the perigee to the apogee the axis will pass over the latitudes intermediate between ,r and ,r in both hemispheres1 neither reaching to the equator ,e1 nor to the pole ,p4 ,let us now suppose a meridian of the earth1 represented by the line ,,nrs1 ,n being north1 and ,s south1 and the surface of the atmosphere by ,n,s2 ,,xx still representing the axis of the vortex1 ordinarily inclined #cd or #ce to the surface4 ,let us also conceive the rotation of the earth to cease1 7the action of the vortex remaining the same17 thus leaving the axis over a particular longitude4 ,if the ether possesses inertia1 there will be an actual scooping out of the upper portions1 driving them southward to a certain distance1 where the atmosphere will be piled up above the ordinary level4 ,there will1 therefore1 be a strong contrary current at the surface of the earth to restore the equilibrium1 and if the action be violent1 the surface wind will be increased2 so that if it be considered tangential to the surface at ,s1 its own momentum will tend to make it leave the surface and mount up to ,t2 and in this way increase the action due to the ether4 ,now1 although the axis is never stationary1 but travels round the earth in less than twenty-five hours1 yet there is a tendency to this mode of action2 and it is even sometimes palpable to the observer when the axis has passed immediately to the northward2 for the pinnate shafts and branching plumes of the cirri often reach far to the south of the southern boundary of the storm4 ,these shafts are always longer when radiating from the northward than when proceeding from the southward4 ,the cause is understood by the above figure4 ,at such a time1 after dark1 the auroral shafts will also be seen over the storm to the northward1 but will be invisible to those beneath4 ,there is this to be observed1 however1 that the visibility of the ethereal current 7or the aurora7 is more frequent when the passage of the vortex is not attended with any great commotion1 its free passage being perhaps obstructed by too dry an atmosphere2 hence it becomes more visible4 ,but it may be asserted that a great aurora is never seen except when a vortex is near1 and to the northward1 and within a few hours of its passage over the meridian4 ,we have1 however1 seen partial auroras to the south when none existed north1 and also cases when the radiation was from west1 but they are never as bright as in the north4 ,they are all due1 however1 to the same cause2 and we have frequently followed a vortex for three days to the northward1 7that is1 seen the effects of its meridian passage17 at #gjj miles distance1 by the aurora1 and even by the lightning1 which proves plainly that the exterior layers of our atmosphere can reflect a flash of lightning1 assisted by the horizontal refraction1 otherwise the curvature of the earth would sink it ten miles below the horizon4 ,illustration3 ,fig4 #b ,,limits ,,of ,,the ,,vortex4 ,the action of the polar current of the ether1 therefore1 tends to cause a depression of the barometer1 and an elevation to the northward and southward1 and there is a general set of the wind below to the point of greatest depression4 ,the action of the tangential current works the outer surface of the atmosphere into great ridges and hollows1 whose distances apart as well as actual dimensions1 are continually changing under the influences of causes not yet alluded to1 and it is in the hollows where the action of the polar current will be principally expended4 ,luckily for the earth1 the axis of the vortex is never long in passing over any particular place4 ,in this latitude1 whose natural cosine is three-fourths1 the velocity westward is over #gjj miles per hour2 but at its extreme limits north1 the motion is much slower1 and is repeated for two or three days in nearly the same latitude1 for then it begins to return to the south2 thus oscillating in about one sidereal period of the moon4 ,at its southern limit1 the vortex varies but slowly in latitude for the same time1 but the velocity is much greater4 ,the extreme latitudes vary at different times with the eccentricity of the lunar orbit1 with the place or longitude of the perigee1 and with the longitude of the moon's ascending node1 but in no case can the central vortex reach within #e of the equator1 or higher than about #ge of latitude north or south4 ,hence there are no storms strictly speaking beyond #hhg of latitude2 although a storm may be raging close by1 at the turning point south1 and draw in a very strong gale from the northward with a clear sky above4 ,so also1 although rains and short squalls may be frequent in the vapor-loaded atmosphere of the equator1 yet the hurricane does not reach there1 owing to the adjustment of the mass and distance of the moon1 and the inclination of the axes of the vortices to the axis of the earth4 ,if the temperature of the upper limit or highest latitude of the vortex1 was equal to the temperature which obtains at its lowest limit1 and the daily extremes of the solar influence as great1 the hurricanes would be as violent at the one as the other1 and even more so on account of the smaller velocity4 ,but the deficiency of temperature and moisture1 7which last is all-important17 prevents the full development of the effect4 ,and even in the tropics1 the progress of the sun1 by its power in directing the great annual currents of the atmosphere1 only conspires in the summer and autumn months1 to bring an atmosphere in the track of the vortices1 possessing the full degree of moisture and deficiency of electric tension1 to produce the derangement necessary to call forth the hurricane in its greatest activity4 ,,routine ,,of ,a ,,storm4 ,the novelty and originality of this theory will perhaps justify us in dwelling a little longer on what observation has detected4 ,the vortex 7and we are now speaking only of the central vortex7 does not derange every place alike1 but skips over large tracts of longitude in its progress westward4 ,we speak here of the immovable axis of the vortex as in motion2 in reality it is the rotation of the earth which brings every meridian under its influence in some latitude once every twenty-four hours4 ,the centre of greatest derangement forms the nucleus1 towards which the surface currents1 under certain restrictions1 flow4 ,the strongest current will1 however1 usually be from the south1 on account of the inclination of the axis of the vortex to the surface of the earth4#h ,these currents continuing onwards by their vires inerti1 according to the first law of motion1 assist somewhat in conveying the warm surface wind1 loaded with moisture1 into the region of cloud2 and the diminution of temperature causes the condensation of large masses of vapor1 according to ,hutton's views2 and the partial vacuum thus produced1 causes a still greater intermingling4 ,but we have already shown that this is not the sole cause1 nor is it ever more than partially accomplished4 ,the ether of the lower atmosphere1 and of the crust of the earth1 is disturbed1 and rushes towards the rarefied axis from the surface1 and with the temperature of the surface1 thus conveying the surface atmosphere1 in a measure1 along with it4 ,in the upper regions1 this ether 7or electric fluid7 cools down1 or parts with some of its heat1 to the air of those regions1 and1 by its great specific caloric1 necessarily and unduly increases the temperature of the air4 ,this1 by its expansion and ascension will cause a further influx from below1 until the upper atmosphere becomes loaded with vapor4 ,in twelve hours1 at least1 a reaction must take place1 as that part of the earth's surface is carried six or seven thousand miles from the axis1 where the ether is more dense4 ,this in turn descends to the surface1 carrying with it the temperature of space1 at least #fj below zero2 a great condensation must follow2 local derangements of the electric equilibrium in the centre of large clouds1 when the condensation is active1 must now take place1 while partially nonconducting masses intervene1 to prevent an instantaneous restoration of the equilibrium1 until the derangement is sufficient to cause the necessary tension1 when all obstacles are rent asunder1 and the ether issues forth1 clothed in the power and sublimity of the lightning4 ,it is a fearfully-energetic fluid1 and1 when sufficiently disturbed1 competent to produce the most violent tornado1 or the most destructive earthquake4 ,that these two phenomena have simultaneously occurred1 seems well authenticated2 but the earthquake1 of course1 must be referred generally to derangements of the electric equilibrium of the earth's interior1 of which at present we know but little4 ,the day or morning previous to the passage of the vortex1 is frequently very fine1 calm1 mild1 and sleepy weather1--commonly called a weather breeder4 ,after the storm has fully matured1 there is an approach of the clouds to the surface1 a reduction of the temperature above1 and the human body feels the change far more than is due to the fall of temperature4 ,this is owing to the cold ether requiring so much heat to raise its temperature to that of surrounding bodies1 or1 in other words1 is due to its great specific caloric4 ,in summer1 this falling of the upper layers in front of the storm is so apparent1 that every part is seen to expand under the eye by perspective1--swelling1 and curling1 and writhing1 like the surface of water or oil when just commenced boiling4 ,the wind now partakes of the motion of the external ether1 and moves with the storm eastward 7in this latitude71 or from ,n-,e4 to ,s-,e41 until the action ceases4 ,,conditions ,,necessary ,,to ,,produce ,a ,,storm4 ,the vortex1 in its passage round the earth1 may only meet with a few localities favorable for producing a very violent storm2 but these nuclei will generally be connected by bands of cloudy atmosphere2 so that could we view them from the moon1 the earth would be belted like the planet ,jupiter4 ,there is reason to suspect1 also1 that there are variations in the energy of the ethereal motions1 independent of the conditions of the earth and its atmosphere1 which affects even the radial stream of the sun4 ,for the zodiacal light1 which is caused by this radial stream1 is at times much more vivid than at others4 ,also in the case of the aurora1 on our own globe4 ,on this point there is much to say1 but here is not the place4 ,the conditions favorable for the production of a storm at the central passage of a vortex1 are a previous exemption from excitement ceteris paribus1 a high temperature and dew point1 a depression of the barometer1 and local accumulation of electric tension1 positive or negative2 and these are influenced by the storms in other places controlling the arial currents1 and thus determining the atmosphere of the place4 ,,lateral ,,vortices4 ,we have already alluded to the lateral vortices of the terral system4 ,we must now resort to a diagram4 ,in the following figure1 the arrows represent the ethereal current of the terral vortex2 the linear circle1 the earth2 ,c the centre of gravity of the earth and moon1 and1 consequently1 the central vortex or axis of the vortex of the earth1 ,i represents the position of the inner vortex1 and ,o that of the outer vortex4 ,these two last are eddies1 caused by the obstacle presented by the earth in being pushed out from the centre by the moon1 and are called lateral vortices4 ,there are1 therefore1 two lateral vortices1 and one central1 in both hemispheres1 and by this simple arrangement is the earth watered1 and the atmospheric circulation produced4 ,illustration3 ,fig4 #c ,,illustration ,,of ,,their ,,action4 ,if we place a globe in a vessel of water1 so that the vertex shall only just be covered1 and place the globe eccentrically in the vessel so that the centre of the vessel may not be too far from the outside of the globe1 and then impart an equable but slow motion to the water1 in the manner of a vortex2 by viewing the reflected light of the sky from the surface of the water above the globe1 we shall be able to trace a succession of dimples1 originating at ,i and ,o1 and passing off with the current1 and dying away4 ,the direction of the fluid in these little eddies1 will be the same as the direction of the current in the main vortex4 ,if we displace the globe1 so as to remove it far from the centre of the vessel1 and impart the same motion1 the vortex ,i will be found at ,e1 and the direction of the current will be contrary to the direction of the fluid in the vessel4 ,in the case of the earth and moon1 the displacement can never change the position of the inner vortex much4 ,it will always be to the right hand of the central vortex in north latitudes1 and in consequence of the ether striking our globe in such a position1 the current that is deflected from its true path1 by the protuberance of the earth forcing it inside1 is prevented by the circular current of the parts nearer the axis of the vortex1 from passing off2 so that a vortex is formed1 and is more violent1 ceteris paribus1 than the vortex at ,o4 ,,order ,,of ,,occurrence4 ,whether this mode of action has been correctly inferred1 matters little2 the lateral vortices follow the law of such a position4 ,the inner vortex always precedes the central from five to eight days1 when ascending in this latitude1 and comes to the meridian after the moon4 ,the outer vortex1 on the contrary1 follows the central in its monthly round1 and comes to the meridian before the moon4 ,it will be readily understood that if the axes of these lateral vortices be produced through the earth1 they will pass through similar vortices in the opposite hemisphere2 but as the greatest latitude of the one1 corresponds to the least latitude of the other1 the same calculation will not answer for both4 ,the same remark applies to the central vortex also4 ,thus there are six passages each month over latitude #da2 but as there are intervals of #c to #f between two consecutive passages of the same vortex1 it may happen that an observer in the middle latitude1 would perhaps see nothing of their effects without looking for them4 ,generally speaking1 they are not only seen1 but felt4 ,the time of the passage of the outer vortex ascending1 corresponds so nearly 7in #ch of latitude7 at certain times1 with the passage of the central vortex descending1 that the two may be considered one if attention is not directed to it4 ,the orbits of these lateral vortices depend1 like that of the central vortex1 on the orbit of the moon for eccentricity1 but the longitudes of the perigee will not correspond with the longitude of the moon's perigee4 ,this follows from the theory4 ,as the elements of these orbits are only approximately determined1 we shall confine our calculations to the orbit of the central vortex4 ,,redfield',s ,,theory ,,of ,,storms4 ,it will now appear plainly to the reader1 that this theory of storms differs in every particular from the rival theories of ,redfield and ,espy1 both as to the cause and the modus agendi4 ,it would appear at first sight1 as if the discovery of these vortices would at once remedy the great defect in the theory of ,redfield1 viz43 that no adequate cause is assigned for the commencement and continuation of the vorticose motion1 in the great circular whirlwinds which compose a storm4 ,the facts1 however1 are adverse to such an application4 ,according to ,mr4 ,redfield1 the rotation of a circular storm in the northern hemisphere is from right to left1 and the reverse in the southern4 ,the author's attention has1 of course1 been considerably directed to this point2 but in every case he has been unfortunate in finding in the clouds a rotation from left to right4 ,some cases are mentioned in the appended record of the weather4 ,he has also noticed many of those small whirlwinds on arid plains1 in ,egypt1 in ,mexico1 and in ,california1 which1 in the great majority of cases1 were also from left to right4 ,his opportunities1 however1 have not extended to the southern hemisphere4 ,this theory has not1 however1 been formed on theoretic views1 but by looking nature in the face for years1 and following her indications4 ,accordingly1 we find that the changes of the wind in a storm forbid the adoption of the circular hypothesis4 ,,whirlwinds ,,very ,,limited ,,in ,,diameter4 ,the theory1 as extended by ,col4 ,reid1 rests on a simple rotation around a progressing centre1 and is found sometimes supported by evidence of the most violent action at the centre1 and sometimes by showing that the central portion is often in a state of calm4 ,we do not attempt to reconcile these views2 but would merely observe1 that an atmospheric vortex must be subject to the same dynamical laws as all other vortices2 and inasmuch as the medium cannot differ greatly in density1 from the centre to the circumference1 the periodic times of the parts of the vortex1 must be directly as their distances from the axis1 and consequently the absolute velocities must be equal4 ,if ,mr4 ,redfield resorts to a spirally inward current1 it would be a centripetal instead of a centrifugal current1 and therefore could not cause the barometer to fall1 which was the best feature of the theory in its primitive form4 ,the absolute velocity of the wind is the important element which most concerns us4 ,in the case of a tornado of a few yards in diameter1 there is no doubt a circular motion1 caused by the meeting of opposing currents2 but this may be considered a circle of a very small diameter4 ,the cause is due to a rapid escape of electric or ethereal matter1 from the crust of the earth1 called forth by the progressing1 disturbed space above2 this involves the air1 and an ascending column in rotation begets the rush on all sides to that column in straight lines3 consequently1 the velocities will be inversely as the distances from the axis1 and the force of the current as the squares of the velocities4 ,on the circular theory1 no increase of velocity would be conferred by the approach of the centre1 and consequently no increase of power4 ,,objection ,,to ,,circular ,,storms4 ,another objection to the circular theory of storms1 is the uniformity of phase4 ,if that theory be true1 we see no reason why a person should not be sometimes on the northern side of the gale4 ,by referring to a diagram1 we perceive that on the northern side the changes of the wind pursue a contrary direction to what they do on the south1 yet in nine cases out of ten1 each vessel meeting a hurricane will find the same changes of wind as are due to the southern side of the storm4 ,it is true1 that if a vessel be to the northward of a great hurricane1 there will almost certainly be a north-east gale drawn in1 and this might be set down as the outer limits of a circular storm4 ,but when the storm really begins1 the wind comes round south-east1 south1 south-west1 ending at north-west1 and frequently is succeeded1 on the following day1 7if in middle latitude17 by a moderate breeze from the northward4 ,now1 if the north-east gale spoken of above1 was the outer limits of an atmospheric vortex1 a vessel sailing west ought not to meet the hurricane1 as a north-east wind is indicative of being already on the west side1 or behind the storm4 ,again1 the characters of the winds1 and appearances at the different changes1 are opposed to the circular theory4 ,at a distance of fifty miles from the centre of a storm1 the wind which passes over a ship as a southerly wind1 will have made a rotation and a half1 with the hurricane velocity1 before the same wind can again pass the ship as a northerly wind1 7supposing the progress eastward1 and the ship lying to17 that is1 the same wind which in another place was a south wind two hours before1 and after only going one degree north1 becomes a northerly wind1--changed in character and temperature1 as every seaman is well aware4 ,in a storm1 if the circular theory be true1 the character and temperature should be the same1 no matter from what point the wind is blowing4 ,this should be a conclusive argument4 ,mr4 ,espy has also changed his ground on the storms of the ,united ,states2 he does not now contend that the winds blow inwards to a centre1 but to a line either directly or obliquely4 ,thus we see that while ,mr4 ,redfield concedes to ,mr4 ,espy a spirally inward current1 the latter also gives up a direct current to the centre1 to ,mr4 ,redfield4 ,this shows at least an approximation to the truth4 ,it is not necessary for the support of this theory1 that we should derive any materials from the ruins of others2 we shall therefore not avail ourselves of certain discrepant results1 which can be found in many of the storms cited by ,colonel ,reid4 ,with respect to ,mr4 ,espy's cause of storms1 the experiments of ,regnault may be considered as decisive of the question3--#ast1 because the specific heat of vapor is so much less than ,espy assumed it to be2 and #b;d1 because the expansion of air in a free space does not suffer any change of volume by ascending1 except what is due to diminished pressure1 and the natural temperature of that elevation4 ,,indications ,,of ,a ,,storm4 ,in accordance with our theory1 the direction and force of the wind in a storm are due to ascending columns of air1 supplied from the upper portion of the atmospheric stratum beneath the clouds4 ,the commotion begins at the highest limits of the cirri1 and even at greater elevations4 ,hence1 the hazy appearance of the sky is a legitimate precursor of the coming gale4 ,as a general thing1 the wind will blow 7at the surface7 towards the centre of greatest commotion1 but it is too dependent on the ever-varying position and power of temporary nuclei of disturbance1 to be long steady1 except when the disturbance is so remote that its different centres of induction are1 as it were1 merged into one common focus4 ,when a vortex is descending1 or passing from north to south1 and withal very energetic at the time1 the southerly wind 7which may always be considered the principal wind of the storm in this hemisphere7 may blow steadily towards the vortex for three or even four days4 ,when a vortex is ascending1 the induced northerly current will be comparatively moderate1 and be frequently checked by the southerly wind overblowing the storm1 and arriving the day before the vortex which produced it4 ,the important point for the navigator1 is to know the time of meridian passage of the vortex1 and its latitude at the time of the passage1 and then be guided by the indications of the weather and the state of barometer4 ,if it commences storming the day before the passage1 he may expect it much worse soon after the passage2 and again1 if the weather looks bad when no vortex is near1 he may have a steady gale setting towards a storm1 but no storm until the arrival of a vortex4 ,again1 if the barometer is low the day before the vortex passes1 there may be high barometer to the west1 and the passage be attended by no great commotion1 as it requires time for the storm to mature1 and consequently its greatest violence will be to the east4 ,if at the ship the barometer is high1 the vortex may still produce a storm on a line of low barometer to the west1 and this line may reach the ship at the time of the passage4 ,in tropical climates the trouble must be looked for to the eastward2 as a storm1 once excited1 will travel westward with that stratum of atmosphere in which the great mass of vapor is lodged1 and in which1 of course1 the greatest derangement of electric tension is produced4 ,it will now be seen that we do not admit1 with ,col4 ,reid1 that a storm continues in existence for a week together4 ,suppose a hurricane to originate in the ,antilles at the southern limits of a vortex1 the hurricane would die away1 according to our theory1 if the vortex did not come round again and take up the same nucleus of disturbance4 ,on the third day the vortex is found still further north1 and the apparent path of the hurricane becomes more curved4 ,in latitude #cj the vortex passes over #c or #e of latitude in a day2 and here being the latitude where the lower atmospheric current changes its course1 the storm passes due north1 and afterwards north-east4 ,now1 each day of the series there is a distinct hurricane1 7caused by an increase of energy in a particular vortex1 as we have before hinted17 each one overlapping on the remains of the preceding2 but in each the same changes of the wind are gone through1 and the same general features preserved1 as if it were truly a progressive whirlwind1 except that each vessel has the violent part of it1 as if she was in the southern half of the whirl4 ,the apparent regularity of the ,atlantic storms in direction1 as exhibited by ,col4 ,reid1 are owing in a great degree to the course of the ,gulf ,stream1 in which a vortex1 in its successive passages in different latitudes1 finds more favorable conditions for the development of its power1 than in other parts of the same ocean2 thus showing the importance of regarding the established character of storms in each locality1 as determined by observation4 ,in this connection1 also1 we may remark1 that the meridians of greatest magnetic intensity are1 ceteris paribus1 also the meridians of greatest atmospheric commotion4 ,the discovery of this fact is due to ,capt4 ,sabine4 ,the cause is explained by the theory4 ,as it is the author's intention to embody the practical application of this theory to navigation1 with the necessary rules and tables1 in a separate work1 sufficient has been said to familiarize the reader with the general idea of a cause external to the earth1 as the active motor in all atmospheric phenomena4 ,we will therefore only allude in a general way to the principal distinguishing feature of the theory4 ,we say1 then1 that the wind in a storm is not in rotation1 and it is a dangerous doctrine to teach the navigator4 ,we also assert as distinctly1 that the wind in a storm does not blow from all sides towards the centre1 which is just as dangerous to believe4 ,if it were wise to pin our faith to any ,procrustean formula1 we might endorse the following propositions3 ,that at the beginning of a storm the wind is from the equator towards the poles in every part of the storm2 that1 at a later date1 another current 7really a polar current deflected by convection7 sets in at right angles to the first one2 and that at the end of the storm there is only one wind blowing at right angles to the direction at the beginning4 ,outside the storm1 considered as a hundred1 or two or three hundred miles in diameter1 there is1 under certain limitations1 a surface wind setting towards the general focus of motion and condensation1 and this surface wind will be strongest from the westward1 on account of the motion of the whole atmosphere in which these other motions are performed being to the eastward4#i ,the whole phenomenon is electrical or magnetic1 or electro-magnetic or ethereal1 whichever name pleases best4 ,the vortex1 by its action1 causes a current of induction below1 from the equator1 as may be understood by inspecting ,fig4 #b1 which in the northern hemisphere brings in a southerly current by convection3 the regular circular current1 however1 finally penetrates below1 as soon as the process of induction has ceased2 and thus the polar current of the atmosphere at last overcomes the equatorial current in a furious squall1 which ceases by degrees1 and the equilibrium is restored4 ,every locality will have its peculiar features2 in each1 the prevailing wind will be at right angles to the magnetic meridian1 and the progress of the storm will tend to follow the magnetic parallel1 which is one reason why the ,atlantic and ,indian ,ocean storms have been mistaken for progressive whirlwinds4 ,when these views are developed in full1 the mariner can pretty certainly decide his position in the storm1 the direction of its progress1 and its probable duration4 ,,footnotes3 #c ,the specific heat of the ether being a constant factor1 it may be divided out4 #d ,a term adopted by ,prof4 ,faraday to denote the mode in which bodies are carried along by an electrical current4 #e ,ottawa1 ,ill4 #f ,the principal cause of these waves is1 no doubt1 due to the vortices1 and the eastern progress of the waves due to the rotating ether2 but1 at present1 it will not be necessary to separate these effects4 #g ,the inner vortex may reach as high as #hc when the moon's orbit is favorably situated4 #h ,the curvature of the earth is more than #aj miles in a distance of #cjj miles4 #i ,in middle latitudes4 ,,section ,,second4 ,,mechanical ,,action ,,of ,,the ,,moon4 ,we will now proceed to give the method of determining the latitude of the axis of the vortex1 at the time of its passage over any given meridian1 and at any given time4 ,and afterwards we will give a brief abstract from the record of the weather1 for one sidereal period of the moon1 in order to compare the theory with observation4 ,illustration3 ,fig4 #d ,in the above figure1 the circle ,,per represents the earth1 ,e the equator1 ,,pp the poles1 ,t the centre of the earth1 ,c the mechanical centre of the terral vortex1 ,m the moon1 ,,xx the axis of the vortex1 and ,a the point where the radius vector of the moon pierces the surface of the earth4 ,if we consider the axis of the vortex to be the axis of equilibrium in the system1 it is evident that ,,tc will be to ,,cm1 as the mass of the moon to the mass of the earth4 ,now1 if we take these masses respectively as #a to #gb4c1 and the moon's mean distance at #bch1fej miles1 the mean value of ,,tc is equal to this number1 divided by the sum of these masses1--i4e4 the mean radius vector of the little orbit1 described by the earth's centre around the centre of gravity of the earth and moon1 is equal #bchfej_/7gb4ca7 #c1bef miles2 and at any other distance of the moon1 is equal to that distance1 divided by the same sum4 ,therefore1 by taking ,,ct in the inverse ratio of the mean semi-diameter of the moon to the true semi-diameter1 we shall have the value of ,,ct at that time4 ,but ,,ta is to ,,tc as radius to the cosine of the arc ,,ar1 and ,,rr are the points on the earth's surface pierced by the axis of the vortex1 supposing this axis coincident with the pole of the lunar orbit4 ,if this were so1 the calculation would be very short and simple2 and it will1 perhaps1 facilitate the investigation1 by considering1 for the present1 that the two axes do coincide4 ,in order1 also1 to simplify the question1 we will consider the earth a perfect sphere1 having a diameter of #g1ijj miles1 equal to the actual polar diameter1 and therefore ,,ta is equal to #c1iej miles4 ,in the spherical triangle given on next page1 we have given the point ,a1 being the position of the moon in right ascension and declination in the heavens1 and considered as terrestrial latitude and longitude4 ,therefore1 ,,pa is equal to the complement of the moon's declination1 ,p being the pole of the earth1 and ,l being the pole of the lunar orbit2 ,,pl is equal to the obliquity of the lunar orbit1 with respect to the earth1 and is therefore given by finding the true inclination of the lunar orbit at the time1 equal ,,el1 7,e being the pole of the ecliptic17 also the true longitude of the ascending node1 and the obliquity of the ecliptic ,,pe4 ,now1 as we are supposing the axis of the vortex parallel to the pole of the lunar orbit1 and to pierce the earth's surface at ,r1 ,,arl will evidently all be in the same plane2 and1 as in the case of ,a and ,l1 this plane passes through the earth's centre1 ,,arl must all lie in the same great circle4 ,having1 therefore1 the right ascension of ,a1 and the right ascension of ,l1 we have the angle ,p4 ,this gives us two sides1 and the included angle1 to find the side ,,la4 ,but we have before found the arc ,,ar2 we therefore know ,,lr4 ,but in finding ,,la1 we found both the angles ,l and ,a1 and therefore can find ,,pr1 which is equal to the complement of the latitude sought4 ,illustration3 ,fig4 #e ,we have thus indicated briefly the simple process by which we could find the latitude of the axis of the central vortex1 supposing it to be always coincident with the pole of the lunar orbit4 ,the true problem is more complicated1 and the principal modifications1 indicated by the theory1 are abundantly confirmed by observation4 ,the determination of the inclination of the axis of the vortex1 its position in space at a given time1 and the law of its motion1 was a work of cheerless labor for a long time4 ,he that has been tantalized by hope for years1 and ever on the eve of realization1 has found the vision vanish1 can understand the feeling which proceeds from frequent disappointment in not finding that1 whose existence is almost demonstrated2 and more especially when the approximation differs but slightly from the actual phenomena4 ,the chief difficulty at the outset of these investigations1 arose from the conflicting authority of astronomers in relation to the mass of the moon4 ,we are too apt to confound the precision of the laws of nature1 with the perfection of human theories4 ,man observes the phenomena of the heavens1 and derives his means of predicting what will be1 from what has been4 ,hence the motions of the heavenly bodies are known to within a trifling amount of the truth2 but it does not follow that the true explanation is always given by theory4 ,if this were so1 the mass of the moon 7for instance7 ought to be the same1 whether deduced from the principle of gravitation or from some other source4 ,this is not so4 ,newton found it #a_/dj of that of the earth4 ,la ,place1 from a profound theoretical discussion of the tides1 gave it as #a_/eh4f1 while from other sources he found a necessity of diminishing it still more1 to #a_/fh1 and finally as low as #a_/ge4 ,bailly1 ,herschel1 and others1 from the nutation of the earth's axis1 only found #a_/hj1 and the ,baron ,lindenau deduced the mass from the same phenomenon #a_/hh4 ,in a very recent work by ,mr4 ,hind1 he uses this last value in certain computations1 and remarks1 that we shall not be very far wrong in considering it as #a_/hj of the mass of the earth4 ,this shows the uncertainty of the matter in #aheb4 ,if astronomy is so perfect as to determine the parallax of a fixed star1 which is almost always less than one second1 why is it that the mass of the moon is not more nearly approximated8 ,every two weeks the sun's longitude is affected by the position of the moon1 alternately increasing and diminishing it1 by a quantity depending solely upon the relative mass of the earth and moon1 and is a gross quantity compared to the parallax of a star4 ,so1 also1 the horizontal parallax--the most palpable of all methods--taken by different observers at ,berlin1 and the ,cape of ,good ,hope1 7a very respectable base line1 one would suppose17 makes the mass of the moon greater than its value derived from nutation2 the first giving about #a_/gj1 the last about #a_/gd4b4 ,does not this declare that it is unsafe to depend too absolutely on the strict wording of the ,newtonian law of gravitation4 ,happily our theory furnishes us with the correct value of the moon's mass1 written legibly on the surface of the earth2 and it comes out nearly what these two phenomena always gave it1 viz43 #a_/gb4c of that of the earth4 ,in another place we shall inquire into the cause of the discrepancy as given by the nutation of the earth4 ,,motion ,,of ,,the ,,axis ,,of ,,the ,,vortex4 ,if the axis of the terral vortex does not coincide with the axis of the lunar orbit1 we must derive this position from observation1 which can only be done by long and careful attention4 ,this difficulty is increased by the uncertainty about the mass of the moon1 already alluded to1 and by the fact that there are three vortices in each hemisphere which pass over twice in each month1 and it is not always possible to decide by observation1 whether a vortex is ascending or descending1 or even to discriminate between them1 so as to be assured that this is the central descending1 and that the outer vortex ascending4 ,a better acquaintance1 however1 with the phenomenon1 at last dissipates this uncertainty1 and the vortices are then found to pursue their course with that regularity which varies only according to law4 ,the position of the vortex 7the central vortex is the one under consideration7 then depends on the inclination of its axis to the axis of the earth1 and the right ascension of that axis at the given time4 ,for we shall see that an assumed immobility of the axis of the vortex1 would be in direct collision with the principles of the theory4 ,let the following figure represent a globe of wood of uniform density throughout4 ,let this globe be rotated round the axis4 ,it is evident that no change of position of the axis would be produced by the rotation4 ,if we add two equal masses of lead at m and m1 on opposite sides of the axis1 the globe is still in equilibrium1 as far as gravity is concerned1 and if perfectly spherical and homogeneous it might be suspended from its centre in any position1 or assume indifferently any position in a vessel of water4 ,if1 however1 the globe is now put into a state of rapid rotation round the axis1 and then allowed to float freely in the water1 we perceive that it is no longer in a state of equilibrium4 ,the mass m being more dense than its antagonist particle at n1 and having equal velocity1 its momentum is greater1 and it now tends continually to pull the pole from its perpendicular1 without affecting the position of the centre4 ,the same effect is produced by m1 and consequently the axis describes the surface of a double cone1 whose vertices are at the centre of the globe4 ,if these masses of lead had been placed at opposite sides of the axis on the equator of the globe1 no such motion would be produced2 for we are supposing the globe formed of a hard and unyielding material4 ,in the case of the ethereal vortex of the earth1 we must remember there are two different kinds of matter1--one ponderable1 the other not ponderable2 yet both subject to the same dynamical laws4 ,if we consider the axis of the terral vortex to coincide with the axis of the lunar orbit1 the moon and earth are placed in the equatorial plane of the vortex1 and consequently there can be no derangement of the equilibrium of the vortex by its own rotation4 ,but even in this case1 seeing that the moon's orbit is inclined to the ecliptic1 the gravitating power of the sun is exerted on the moon1 and of necessity she must quit the equatorial plane of the vortex2 for the sun can exert no influence on the matter of the vortex by his attracting power4 ,the moment1 however1 the moon has left the equatorial plane of the vortex1 the principle of momentum comes into play1 and a conical motion of the axis of the vortex is produced1 by its seeking to follow the moon in her monthly revolution4 ,this case is1 however1 very different to the illustration we gave4 ,the vortex is a fluid1 through which the moon freely wends her way1 passing through the equatorial plane of the vortex twice in each revolution4 ,these points constitute the moon's nodes on the plane of the vortex1 and1 from the principles laid down1 the force of the moon to disturb the equilibrium of the axis of the vortex1 vanishes at these points1 and attains a maximum #ij from them4 ,and the effect produced1 in passing from her ascending to her descending node1 is equal and contrary to the effect produced in passing from her descending to her ascending node1--reckoning these points on the plane of the vortex4 ,illustration3 ,fig4 #f ,,inclination ,,of ,,the ,,axis4 ,by whatever means the two planes first became permanently inclined1 we see that it is a necessary consequence of the admission of these principles1 not only that the axis of the vortex should be drawn aside by the momentum of the earth and moon1 ever striving1 as it were1 to maintain a dynamical balance in the system1 in accordance with the simple laws of motion1 and ever disturbed by the action of gravitation exerted on the grosser matter of the system2 but also1 that this axis should follow1 the axis of the lunar orbit1 at the same mean inclination1 during the complete revolution of the node4 ,the mean inclination of the two axes1 determined by observation1 is #b #de1 and the monthly equation1 at a maximum1 is about #ae1 being a plus correction in the northern hemisphere1 where the moon is between her descending and ascending node1 reckoned on the plane of the vortex1 and a minus correction1 when between her ascending and descending node4 ,and the mean longitude of the node will be the same as the true longitude of the moon's orbit node1--the maximum correction for the true longitude being only about #e 4 ,illustration3 ,fig4 #g ,in the following figure1 ,p is the pole of the earth2 ,e the pole of the ecliptic2 ,l the pole of the lunar orbit2 ,v the mean position of the pole of the vortex at the time2 the angle ,,el the true longitude of the pole of the lunar orbit1 equal to the true longitude of the ascending node #ij4 ,,vl is therefore the mean inclination #b #de2 and the little circle1 the orbit described by the pole of the vortex twice in each sidereal revolution of the moon4 ,the distance of the pole of the vortex from the mean position ,v1 may be approximately estimated1 by multiplying the maximum value #ae by the sine of twice the moon's distance from the node of the vortex1 or from its mean position1 viz43 the true longitude of the ascending node of the moon on the ecliptic4 ,from this we may calculate the true place of the node1 the true obliquity1 and the true inclination to the lunar orbit4 ,having indicated the necessity for this correction1 and its numerical coefficient1 we shall no longer embarrass the computation by such minuti1 but consider the mean inclination as the true inclination1 and the mean place of the node as the true place of the node1 and coincident with the ascending node of the moon's orbit on the ecliptic4 ,,position ,,of ,,the ,,axis ,,of ,,the ,,vortex4 ,it is now necessary to prove that the axis of the vortex will still pass through the centre of gravity of the earth and moon4 ,illustration3 ,fig4 #h ,let ,,xx now represent the axis of the lunar orbit1 and ,c the centre of gravity of the earth and moon1 ,x,x the axis of the vortex1 and ,,kcr the inclination of this axis4 ,then from similarity ,ct 3 ,tt 33 ,cm 3 ,mm but ,tt 3 ,mm 33 ,moon's mass 3 ,earth's mass4 ,that is ,tt 3 ,mm 33 ,,tc 3 ,,mc4 ,therefore the system is still balanced2 and in no other point but the point ,c1 can the intersection of the axes be made without destroying this balance4 ,it will be observed by inspecting the figure1 that the arc ,r,k is greater than the arc ,,rk4 ,that the first increases the arc ,,ar1 and the second diminishes that arc4 ,the arc ,r,k is a plus correction therefore1 and the smaller arc ,,rk a minus correction4 ,if the moon is between her descending and ascending node1 7taking now the node on the ecliptic17 the correction is negative1 and we take the smaller arc4 ,if the moon is between her ascending and descending node1 the correction is positive1 and we take the larger arc4 ,if the moon is #ij from the node1 the correction is a maximum4 ,if the moon is at the node1 the correction is null4 ,in all other positions it is as the sine of the moon's distance from the nodes4 ,we must now find the maximum value of these arcs of correction corresponding to the mean inclination of #b #de4 ,to do this we may reduce ,,tc to ,tt in the ratio of radius to cosine of the inclination1 and taking ,,ts for radius4 ,illustration3 ,fig4 #i ,,tc ,cos c4 7inclination #b #de7_/,r is equal the cosine of the arc ,,sk and ,,sk ,,as ,,ak and ,,ak ,,ar ,r,k4 ,but from the nature of the circle1 arc ,,rk arc ,r,k angle ,,rck angle ,r,,ck1 or equal to double the inclination2 and therefore1 by subtracting either arc from double the inclination1 we may get the other arc4 ,the maximum value of these arcs can1 however1 be found by a simple proportion1 by saying2 as the arc ,,ar1 plus the inclination1 is to the inclination1 so is the inclination to the difference between them2 and therefore1 the inclination1 plus half the difference1 is equal the greater arc1 and the inclination1 minus half the difference1 is equal the lesser2 the greater being positive1 and the lesser negative4 ,having found the arc ,,ar1 and knowing the moon's distance from either node1 we must reduce these values of the arcs ,,rk and ,r,k just found1 in the ratio of radius to the sine of that distance1 and apply it to the arc ,,ar or ,a,r1 and we shall get the first correction equal to the arc ,,ak or ,,ak4 ,call the arc ,,ar a inclination n distance from the node d arc ,,ak k and supposing the value of ,,ak be wanted for the northern hemisphere when the moon is between her descending and ascending node1 we have n ------- a n 7n - ------- 7 sin d4 #b k a - ---------------------- ,r ,if the moon is between her ascending and descending node1 then n ------- a n 7n - ------- 7 sin d4 #b k a ---------------------- ,r ,the computation will be shorter1 however1 if we merely reduce the inclination to the sine of the distance from the node for the first correction of the arc ,,ar1 if we neglect the semi-monthly motion of the axis2 for this last correction diminishes the plus corrections1 and the first one increases it4 ,if1 therefore1 one is neglected1 it is better to neglect the other also2 especially as it might be deemed affectation to notice trifling inequalities in the present state of the elements of the question4 ,there is one inequality1 however1 which it will not do to neglect4 ,this arises from the displacement of the axis of the vortex4 ,,displacement ,,of ,,the ,,axis4 ,we have represented the axis of the terral vortex as continually passing through the centre of gravity of the earth and moon4 ,now1 by following out the principles of the theory1 we shall see that this cannot be the case1 except when the moon is in quadrature with the sun4 ,to explain this3 ,illustration3 ,fig4 #aj ,let the curve passing through ,c represent a portion of the orbit of the earth1 and ,s the sun4 ,from the principles laid down1 the density of the ethereal medium increases outward as the square roots of the distances from the sun4 ,now1 if we consider the circle whose centre is ,c to represent the whole terral vortex1 it must be that the medium composing it varies also in density at different distances from the sun1 and at the same time is rotating round the centre4 ,that half of the vortex which is exterior to the orbit of the earth1 being most dense1 has consequently most inertia1 and if we conceive the centre of gravity of the earth and moon to be in the orbit 7as it must be7 at ,c1 there will not be dynamical balance in the terral system1 if the centre of the vortex is also found at ,c4 ,to preserve the equilibrium the centre of the vortex will necessarily come nearer the sun1 and thus be found between ,t and ,c1 ,t representing the earth1 and the moon1 and ,c the centre of gravity of the two bodies4 ,if the moon is in opposition1 the centre of the vortex will fall between the centre of gravity and the centre of the earth1 and have the apparent effect of diminishing the mass of the moon4 ,if1 on the other hand1 the moon is in conjunction1 the centre of the vortex will fall between the centre of gravity and the moon1 and have the apparent effect of increasing the mass of the moon4 ,if the moon is in quadrature1 the effect will be null4 ,the coefficient of this inequality is #ij1 and depends on the sun's distance from the moon4 ,when the moon is more than #ij from the sun1 this correction is positive1 and when less than #ij from the sun1 it is negative4 ,if we call this second correction ,c1 and the moon's distance from her quadratures ,q1 we have the value of ,c 7#ij sin ,q7_/,r4 ,illustration3 ,fig4 #aa ,this correction1 however1 does not affect the inclination of the axis of the vortex1 as will be understood by the subjoined figure4 ,if the moon is in opposition1 the axis of the vortex will not pass through ,c1 but through ,c1 and ,,qq will be parallel to ,,kk4 ,if the moon is in conjunction1 the axis will be still parallel to ,,kk1 as represented by the dotted line qq4 ,the correction1 therefore1 for displacement1 is equal to the arc ,,kq or ,kq1 and the correct position of the vortex on the surface of the earth at a given time will be at the points ,q or q and ,q or q1 considering the earth as a sphere4 ,illustration3 ,fig4 #ab ,in the spherical triangle ,,apv1 ,p is the pole of the earth1 ,v the pole of the vortex1 ,a the point of the earth's surface pierced by the radius vector of the moon1 ,,aq is the corrected arc1 and ,,pv is the obliquity of the vortex4 ,now1 as the axis of the vortex is parallel to the pole ,v1 and the earth's centre1 and the line ,,ma also passes through the earth's centre1 consequently ,,aqv will all lie in the same great circle1 and as ,,pv is known1 and ,,pa is equal to the complement of the moon's declination at the time1 and the right1 ascensions of ,a and ,v give the angle ,p1 we have two sides and the included angle to find the rest1 ,,pq being the complement of the latitude sought4 ,we will now give an example of the application of these principles4 ,example4#aj ,required the latitude of the central vortex at the time of its meridian passage in longitude #hh #ej west1 ,july #b;d1 #ahec4 ,,central ,,vortex ,,ascending4 ,greenwich time of passage #b;d4 #c;h4 #am4 ,mean longitude of moon's node #gh #bi ,true #gi #cb ,mean inclination of lunar orbit #e #i ,true #e #ac ,obliquity of ecliptic #bc #bg #cb ,mean inclination of vortex #b #de #j ,then in the spherical triangle ,,pev1 ,,pe is equal #bc #bg #cb ,,ev #g #eh #j ,e #ajj #bh #j ,p #ah #e #g ,,pv #bf #b #cb ,calling ,p the polar angle and ,,pv the obliquity of vortex4 ,illustration3 ,fig4 #ac ,to find the arc ,,ar4 ,by combining the two proportions already given1 we have by logarithms3 ,m4,r4,v4 minor #cbef ,log4 #c4eabfhc ,m4,s4,d4 of moon #idj #b4igcabh ,p4,s4,d4 of earth #ciej ,a4 ,c4 #f4djcdjc ,radius #aj4jjjjjj ,t4,s4,d4 of moon #hhe4e ,a4 ,c4 #g4jebhaa ,log4 ,cosine arc ,,ar #bh #eg #c #i4idbjbe --------- ,as the only variable quantity in the above formula is the ,true semi-diameter of the moon at the time1 we may add the ,constant logarithm #b4hhibad to the arithmetical complement of the logarithm of the true semi-diameter1 and we have in two lines the log4 cosine of the arc ,,ar4 ,we must now find the arc ,,rk equal at a maximum to #b #de4 ,the true longitude of the moon's node being #gi #cb1 and the moon's longitude1 per ,nautical ,almanac1 being #eh #cj1 the distance from the node is #ba #b1 therefore1 the correction is -#b #de sin #ba #b -arc ,,rk --------------------- -#ei #ac ,r ,to find the correction for displacement4 ,true longitude of sun at date #ajj #cj of moon #eh #cj ,moon's distance from quadrature #dh #j ,as the moon is less than #ij from the sun this correction is also negative1 or -#ij sin #dh ,arc ,kq --------------- -#a #f #df4 ,r ,arc ,,ar #bh #eg #c ,,rk - #j #ci #ac ,kq - #a #f #df ,sum #bf #ea #d corrected arc ,,aq4 ,we have now the necessary elements in the ,nautical ,almanac1 which we must reduce for the instant of the vortex passing the meridian in ,greenwich time4 ,july #b;d4 ,meridian passage1 local time1 at #i;h4 #em4 ,a4,m4 in ,greenwich time #b;d4 #c;h4 #am4 ,right ascension same time #ef #db #de ,declination north #ah #jj #a ,obliquity of the vortex #bf #b #cb ,polar angle #ah #e #g ,arc ,,aq #bf #ea #d ,illustration3 ,fig4 #ad ,,pa #ag #ei #ei ,p #abh #cg #ch ,,pv #bf #b #cb ,,va #hi #c #j ,v #dg #ei #dd ,,vq #fb #aa #ef ,a #bj #c #db ,,pq #dg #ad #bb ,q #bf #bb #ee ,latitude of ,q on the sphere #db #de #ch ,,correction ,,for ,,protuberance4 ,we have hitherto considered the earth a perfect sphere with a diameter of #g1ijj miles4 ,it is convenient to regard it thus1 and afterwards make the correction for protuberance4 ,we will now indicate the process for obtaining this correction by the aid of the following diagram4 ,illustration3 ,fig4 #ae ,let ,b bisect the chord ,,zz4 ,then1 by geometry1 the angle ,,fqy is equal to the angle ,,btf1 and the protuberance ,,fy is equal the sine of that angle1 making ,,qf radius4 ,this angle1 made by the axis of the vortex and the surface of the sphere1 is commonly between #cj and #dj1 according as the moon is near her apogee or perigee2 and the correction will be greatest when the angle is least1 as at the apogee4 ,at the equator1 the whole protuberance of the earth is about #ac miles4 ,multiply this by the cosine of the angle and divide by the sine1 and we shall get the value of the arc ,,qy for the equator4 ,for the smallest angle1 when the correction is a maximum1 this correction will be about #bj of latitude at the equator2 for other latitudes it is diminished as the squares of the cosines of the latitude4 ,then add this amount to the latitude ,,eq1 equal the latitude ,,ey4 ,this1 however1 is only correct when the axis of the vortex is in the same plane as the axis of the earth2 it is1 therefore1 subject to a minus correction1 which can be found by saying1 as radius to cosine of obliquity so is the correction to a fourth--the difference of these corrections is the maximum minus correction1 and needs reducing in the ratio of radius to the cosine of the angle of the moon's distance from the node2 but as it can only amount to about #b at a maximum under the most favorable circumstances1 it is not necessary to notice it4 ,the correction previously noticed is on the supposition that the earth is like a sphere having ,,tf for radius2 as it is a spheroid1 we must correct again4 ,from the evolute1 draw the line ,,sf1 and parallel to it1 draw ,,tw2 then ,,ew is the latitude of the point ,f on the surface of the spheroid4 ,this second correction is also a plus correction1 subject to the same error as the first on account of the obliquity1 its maximum value for an angle of #cj is about #f1 and is greatest in latitude #de2 for other latitudes1 it is equal #f sin7double the lat47_/,r4 ,the three principal corrections for protuberance may be estimated from the following table1 calculated for every #ae of latitude for an angle of #cj1 or when the correction is greatest4 ,latitude4 #ast ,corr4 #b;d ,corr4 #c;d ,corr4 #j #bj #j - #b #ae #ai #c - #a4e #cj #ae #e - #a4e #de #aj #f - #a4 #fj #e #e - #a #gj #a #c - #j4e ,we can now apply this correction to the latitude of the vortex just found3 ,latitude on the sphere #db #de #ch n4 ,correction for protuberance #ad #bb ---------- ,correct latitude #dc #jj #jj ,,milwaukie ,,storm1 ,,july #b4 ,as this example was calculated about ten days before the actual date1 we have appended an extract from the ,milwaukie papers1 which is in the same longitude as ,ottawa1 in which place the calculation was made4 ,it is needless to remark that the latitude of ,milwaukie corresponds to the calculated latitude of the centre of the vortex4 ,it is not intended1 however1 to convey the idea that the central line is always the most subject to the greatest violence--a storm may have several centres or nuclei of disturbance1 which are frequently waning and reviving as the storm progresses4 ,generally speaking1 however1 the greatest action is developed along the line previously passed over by the axis of the vortex4 ,,summit1 ,waukesha ,co41 ,wis41 ,july #d1 #ahec4 ,our town1 on ,saturday1 the #b;d1 was visited by a terrible storm1 which will long be remembered by those who witnessed its effects and suffered from its fury4 ,it arose in the south-west1 and came scowling in blackness1 sufficient to indicate its anger1 for the space of eighty or a hundred rods in width1 covering our usually quiet village2 and for nearly half an hour's duration1 the rain fell in torrents1 the heavens blazed with the lightning's flashes1 trees fell and were uprooted by the fury of the blast1 fragments of gates and of buildings1 shingles1 roof-boards1 rafters1 circled through the air1 the playthings of the wind--and buildings themselves were moved entire from their foundations1 and deposited at different distances from their original positions4 ,a barn1 fifty-five feet square on the ground1 owned by ,mr4 ,b4 ,r4 ,hinckley1 is moved from its position some ten feet to the eastward2 and a house1 some fifteen by eighteen feet on the ground1 owned by the same person1 fronting the east1 was driven by the wind to the opposite side of the street1 and now fronts nearly west2 and what is most strange1 is that the grass1 in the route the house must have passed over1 stands straight as usual1 and gives no evidence that the building was pushed along on the ground4 ,a lady running from a house unroofed by the storm1 took an arial flight over two fences1 and finally caught against a tree1 which arrested her passage for a moment only1 when1 giving way1 she renewed her journey for a few rods1 and was set down unhurt in ,mr4 ,o4 ,reed's wheat field1 where1 clinging to the growing grain1 she remained till the gale went by4#aa ,the weather at this place is briefly recorded in the accompanying abstract from the journal1 as well as in an extract from a note to ,professor ,henry1 of the ,smithsonian ,institution1 from a friend of the authors1 who has long occupied a high official station in ,illinois4 ,but such coincidences are of no value in deciding on the merits of such a theory1 it must be tried before the tribunal of the world1 and applied to phenomena in other countries with success1 before its merits can be fully appreciated4 ,the accompanying record1 therefore1 is only given to show how these vortices render themselves apparent1 and what ought to be observed1 and also to exhibit the order of their recurrence and their positions at a given time4 ,extract of a note addressed to the ,secretary of the ,smithsonian ,institution1 by ,hon4 ,john ,dean ,caton1 on this subject4 ,as a striking instance of the remarkable coincidences confirmatory of these calculations1 ,i will state1 that on ,friday1 the first of ,july last1 this gentleman#ab stated that on the next day a storm would pass north of us1 being central a little south of ,milwaukie1 and that he thought1 from the state of the atmosphere1 the storm would be severe1 and that its greatest violence would be felt on the afternoon or night of the next day4 ,at this time the weather was fine1 without any indications of a storm1 so far as ,i could judge4 ,at noon on the following day he pointed out the indications of a storm at the north and north-west1 consisting of a dark1 hazy belt in that direction1 extending up a few degrees above the horizon1 although so indistinct as to have escaped my observation4 ,at five o'clock a violent storm visited us1 which lasted half an hour1 although a clear sky was visible at the south the whole time4 ,on ,monday morning ,i learned1 from the telegraph office at ,chicago1 that early on ,saturday afternoon communication with ,milwaukie had been interrupted by atmospheric electricity1 and that the line had been broken by a storm4 ,,new ,,york ,,storm4 ,after this was written1 the author discovered that the vortex was equally violent the day before at ,new ,york1 ,july #ast1 #ahec4 ,an account of this storm follows4 ,the calculation has not been made1 but it is easy to perceive that the latitude of the vortex1 on ,july #ast1 must be very nearly that of ,new ,york--being in latitude #dc next day and ascending4 ,at a meeting of the ,american ,association1 convened at ,cleveland1 ,professor ,loomis presented a long notice of the terrible hail storm in ,new ,york on the #ast of ,july4 ,he traced its course1 and minutely examined all the phenomena relating to it1 from a mile and a half south-east of ,paterson1 ,n4,j41 to the east side of ,long ,island1 where it appeared nearly to have spent its force4 ,it passed over the village of ,aqueenac1 striking the ,island of ,new ,york in the vicinity of the ,crystal ,palace4 ,it was not much more than half a mile wide4 ,the size of the hail-stones was almost incredibly large1 many of them being as large as a hen's egg1 and the ,professor saw several which he thought as large as his fist4 ,some of them weighed nearly half a pound4 ,the principal facts in relation to this storm were published at the time1 and need not be repeated4 ,the discussions arising among the members as to the origin and the size of these hail-stones1 and the phenomena of the storm1 were exceedingly interesting4 ,they were participated in by ,professors ,heustus and ,hosford1 of ,cambridge ,university1 ,professor ,loomis1 and ,professors ,bache and ,redfield4 ,the latter two gentlemen differ somewhat1 we should suppose radically1 in their meteorological theories1 and had some very sharp but very pleasant shooting between them4#ac ,,central ,,vortex ,,descending4 ,we will now make the calculation for the central vortex descending1 for longitude #hh #ej west1 ,august #g1 #ahec1--putting down the necessary elements for the time of the meridian passage in order3 ,meridian passage in local time at #b;h4 #bem4 ,p4,m4 in ,greenwich time #g;d4 #h;h4 #ahm4 ,mass of the moon #a_/ab4c ,m4 ,r4 ,v4 minor #c1bef miles4 ,obliquity of the vortex1 same time #bf #e #j ,polar angle of #ag #da #dg ,true longitude of moon's node #gh #db #j inclination of orbit #e #e #j longitude of the sun #ace #bj #j ,moon's longitude #afi #dd #j distance from node #ia #b #j distance from quadrature #ee #cf #j true semi-diameter #idc right ascension #agb #cj #j declination north #h #db #bj ,constant logarithm #b4hhibad ,arith4 comp4 of log4 of #idc #g4jbedhh ,log4 cos4 arc4 ,,ar #i4iadgjb #cd #dd #dh #ast4 correction1 #b #de #j #b;d4 correction1 - #a #ad #ae -------------- ,corrected arc ,,aq #cf #ae #cc ,,pa #ha #ag #dj ,,pv #bf #e #j ,p #aae #aa #dg ,v #fc #cd #bf ,a #bc #bh #bd ,,av #ib #dh #ci ,q #ca #cb #ah ,complement of lat4 ,,pq #dh #di #da ,the latitude is therefore for the earth1 as a sphere #da #aj #ah ,correction for protuberance #j #af #j ------------ ,true latitude of centre #da #bf #ah north4 ------------ ,latitude of ,ottowa #da #bj #j ------------ ,vortex passed #f #ah north of ,ottowa4 ,illustration3 ,fig4 #af ,as this was nearly a central passage1 and as the influence was less extensive than usual1 on account of great atmospheric pressure with a low dew point1 the central disturbance could the more readily be located1 and was certainly to the north1 and but a few miles4 ,the following is from the record of the weather3 ,august #fth4 ,very fine and clear all day2 wind from ,s4-,w42 a light breeze2 #h ,p4,m4 frequent flashes of lightning in the northern sky2 #aj ,p4,m4 a low bank of dense clouds in north1 fringed with cirri1 visible during the flash of the lightning2 #ab ,p4,m4 same continues4 #gth4 ,very line and clear morning2 wind ,s4-,w4 moderate2 noon1 clouds accumulating in the northern half of the sky2 wind fresher ,s4-,w42 #c ,p4,m4 a clap of thunder overhead1 and black cumuli in west1 north1 and east2 #d ,p4,m4 much thunder1 and scattered showers2 six miles west rained very heavily2 #f ,p4,m4 the heavy clouds passing over to the south2 #aj ,p4,m4 clear again in north4 ,august #hth4 ,clear all day2 wind the same 7,s4-,w472 a hazy bank visible all along on southern horizon4 ,this was not a storm1 in the ordinary acceptation of the term2 but the same cause1 under other circumstances1 would have produced one2 and let it be borne in mind1 that although the moon is the chief disturbing cause1 and the passages of the vortices are the periods of greatest commotion in both settled and unsettled weather1 still the sun is powerful in predisposing the circumstances1 whether favorable or unfavorable2 and as there is no periodic connection between the passage of a vortex and the concurrence of the great atmospheric waves1 it will1 of course1 happen only occasionally that all the circumstances will conspire to make a storm4 ,there are also other modifying causes1 to which we have not yet alluded1 which influence the storms at different seasons of the year1--exaggerating their activity in some latitudes1 and diminishing it in other latitudes4 ,in this latitude1 the months of ,may1 ,june1 and ,july are marked by more energetic action than ,august1 ,september1 and ,october4 ,the activity of one vortex also1 in one place1 seems to modify the activity of another vortex in another place4 ,but the great question to decide is3 ,do these vortices really exist8 ,do they follow each other in the order indicated by the theory8 ,do they pass from south to north1 and from north to south1 at the times indicated by the theory8 ,do they obey1 in their monthly revolutions1 a mathematical law connecting them with the motions of the moon8 ,we answer emphatically1 ,yes6 ,and the non-discovery of these facts1 is one of the most humiliating features of the present age4 ,,ottowa ,,storm1 ,,december #bb1 #aheb4 ,to show that the same calculations are applicable for other times1 we will make the calculation for the centre ascending1 for the #bb;d ,december1 #aheb1 taking the following elements3 ,moon's mer4 passage1 ,dec4 #bb;d #ae;h4 #afm4 ,g4 time4 right ascension1 same time #ea #eg declination north #ae #db true ,s4 ,diameter #hhf4f distance from node #cg quadrature #eb -------- ,which gives the arc ,,ar #bi #e #ast correction -#a #ea #b;d #a #aa -------- ,corrected arc ,,aq #bh #be -------- ,and the latitude at the time of the meridian passage #db north1 or about forty miles north of ,ottawa4 ,abstract from the record3-- #ad;,dec4 #bast1 #aheb4 ,wind ,n4-,e41 fine weather4 ,dec4 #bb;d4 ,thick1 hazy morning1 wind east1 much lighter in ,s4-,e4 than in ,n4-,w42 #h ,a4,m41 a clear arch in ,s4-,e4 getting more to south2 noon1 very black in ,w4 ,n4-,w42 above1 a broken layer of cir4 cumulus1 the sun visible sometimes through the waves2 wind round to ,s4-,e41 and fresher2 getting thicker all day2 #aj ,p4,m41 wind south1 strong2 thunder1 lightning1 and heavy rain all night1 with strong squalls from south4 ,dec4 #bc;d4 ,wind ,s4-,w41 moderate1 drizzly day2 #aj ,p4,m41 wind west1 and getting clearer4 ,the next day the vortex passed the latitude of ,montreal 7the moon being on the meridian about #aj ,p4,m47 ,,magnetic ,,storm1 ,,december #bc1 #aheb4 ,in the ,july number of ,vol4 ,,xvi4 of ,silliman's ,journal1 we find certain notices of the weather in #aheb1 by ,charles ,smallwood1 of ,st4 ,martins1 nine miles east of ,montreal4 ,he mentions two remarkable electrical storms 7which7 occurred on the #bc;d and #cast of ,december1 7in which7 sparks #e_/dj of an inch were constantly passing from the conductor to the discharger for several hours each day4 ,at #aj ,p4,m4 7#bc;d7 the vortex passed over ,montreal1 and again descending on the #cast ,north1 and was visible at ,ottowa on the morning of the #ast of ,january1 with southerly wind setting towards it4 ,on the #bith of ,december1 ,mr4 ,smallwood records a low auroral arch1 sky clear4 ,on the #bjth1 the vortex was #e to the northward of ,montreal1 and the aurora was consequently low--the brightest auroras being when the vortex is immediately north without storm1 or one day to the northward1 although we have seen it very low when the vortex was three days to the north1 and no other vortex near4 ,,liverpool ,,storm4 ,on the night of the #bdth of ,december1 the same central vortex ascending passed between ,cape ,clear and ,liverpool4 ,on the #beth1 at midnight1 the vortex passed to the north of ,liverpool3 its northerly progress being very slow1 being confined for three days between the parallel of ,liverpool and its extreme northern limit in latitude about #eg4 ,the accompanying account of the weather will show the result of a long-continued disturbance near the same latitude3 ,the ,baltic1 three days out from ,liverpool1 encountered the vortex on the night of the #bc;d4 ,on the morning of the #beth1 very early1 the gale commenced at ,liverpool1 and did much damage4 ,on the #bfth1 the vortex attained its northern limit2 but we have not been able to procure any account of its effects to the northward of ,liverpool1 although there can be but little doubt that it was violent on the coast of ,scotland on the #bfth2 for the next day 7#bgth7 the vortex having made the turn1 was near the latitude of ,liverpool1 and caused a tremendous storm1 thus showing a continued state of activity for several days1 or a peculiarly favorable local atmosphere in those parts4 ,it is very probable1 also1 that there was a conjunction of the central and inner vortex on the #bgth4 ,the inner vortex precedes the central in passing latitude #da2 but as the mean radius of its orbit is less than that of the central1 it attains to a higher latitude1 and has1 consequently1 to cross the path of the central1 in order again to precede it descending in latitude #da4 ,as a very trifling change in the elements of the problem will cause great changes in the positions of the vortices on the surface of the earth1 it cannot now be asserted that such a conjunction did positively occur at that time2 but1 it maybe suspected1 that a double disturbance would produce a greater commotion1 or1 in other words1 a more violent1 storm4 ,it is on this account1 combined with other auxiliary causes1 that the vicinity of ,cape ,horn is so proverbially stormy1 as well as for the low standard of the barometer in that latitude1 it is the stationary point of the vortices in ordinary positions of the nodes and perigee of the moon4 ,we have already alluded to the fact1 that none of the vortices scarcely ever pass much beyond latitude #hj1 and then only under favorable circumstances1 so that we ought to infer1 that gales in high latitudes should set from the poles towards the storms in lower latitudes4 ,this is1 no doubt1 the fact1 but1 nevertheless1 a hard southerly blow may possibly occur in high northern latitudes1 if a storm should be raging very violently in a lower latitude on the opposite side of the pole1 the distance across the circle of #hj being only about #a1djj miles4 ,as the different vortices have a different limit in latitude every year1 the determination of this turning point is obviously of great practical utility1 as the fact may yet be connected with other phenomena1 so as to give us the probable character of the polar ice at any assigned time4 ,on this point we have more to say4 ,,passages ,,of ,,all ,,the ,,vortices4 ,our remarks have hitherto been confined to the central vortex4 ,we shall now show from the record1 that the other vortices are as effective in deranging the equilibrium of our atmosphere4 ,in the following table we have given the passages of the different vortices1 which will serve as their true positions within moderate limits1 to calculate from1 for all future time4 ,,passages ,,of ,,the ,,central ,,and ,,lateral ,,vortices1 ,,observed ,,in ,,june ,,and ,,july1 #ahec1 ,,in ,,latitude #da #bj ,,north4 ,i signifying ,inner2 ,o1 outer2 ,c1 central2 ,a1 ascending2 ,d1 descending4 ,order4,vortex4 ,date4 ,meridian ,passage4 ,calculated latitude ,passage4 and ,remarks4 #ast ,i4 ,a4 ,june #bb #g ,a4,m4 south ,centre4 ,about #dj4 #bc #h ,a4,m4 north ,warsaw4 ,storm4 #b;d ,o4 ,d4 #bg #j noon north #bh #a ,a4,m4 south ,see record4 #c;d ,c4 ,a4 ,july #a #i ,a4,m4 south #b #aj ,a4,m4 north ,lat4 #dc4 ,storm4 #dth ,i4 ,d4 #g #e ,p4,m4 north #h #f ,p4,m4 south ,lat4 ,new ,york4 ,storm4 #eth ,c4 ,d4 #ab #e ,p4,m4 north ,aurora4 #ac #f ,p4,m4 south ,stormy1 very4 #fth ,o4 ,a4 #ad #aj ,a4,m4 south #ae #aa ,a4,m4 north ,see ,record4 ,the intervals between the ascending and descending passages of the different vortices1 are ,between ,i4 ,a4 and ,i4 ,d4 from #aa to #ad days4 ,o4 ,a4 ,o4 ,d4 #aj #ab ,c4 ,a4 ,c4 ,d4 #i #aa and the effect is greatest when the vortex comes to the meridian before the sun1 and least when after the sun2 in which case the full effect is not developed1 sometimes until the following day4 ,a brief abstract from a journal of the weather for one sidereal period of the moon1 in #ahec4 ,june #bast4 ,fine clear morning 7,s4 fresh7#ae3 noon very warm #hh2 #d ,p4,m4 plumous cirri in south2 ends clear4 #bb;d4 ,hazy morning 7,s4 very fresh7 arch of cirrus in west2 #b ,p4,m41 black in ,w4-,n4-,w42 #c ,p4,m41 overcast and rainy2 #d ,p4,m41 a heavy gust from south2 #d4cj ,p4,m41 blowing furiously 7,s4 by ,w472 #e ,p4,m41 tremendous squall1 uprooting trees and scattering chimneys2 #f ,p4,m41 more moderate 7,w47 #bc;d4 ,clearing up 7,n4-,w472 #h ,a4,m41 quite clear2 #aa ,a4,m41 bands of mottled cirri pointing ,n4-,e4 and ,s4-,w42 ends cold 7,w4 ,n4-,w472 the cirri seem to rotate from left to right1 or with the sun4 #bdth4 ,fine clear cool day1 begins and ends 7,n4-,w47 #beth4 ,clear morning 7,n4-,w1 light72 #b ,p4,m4 7,e47 calm2 tufts of tangled cirri in north intermixed with radiating streaks1 all passing eastward2 ends clear4 #bfth4 ,hazy morning 7,s4-,e7 cloudy2 noon1 a heavy windy looking bank in north 7,s4 fresh71 with dense cirrus fringe above on its upper edge2 clear in ,s4 #bgth4 ,clear1 warm1 7,w472 bank in north2 noon bank covered all the northern sky1 and fresh breeze2 #aj ,p4,m41 a few flashes to the northward4 #bhth4 ,uniform dense cirro-stratus1 7,s4 fresh72 noon showers all round2 #b ,p4,m41 a heavy squall of wind1 with thunder and rain 7,s4-,w4 to ,n4-,w472 #h ,p4,m41 a line of heavy cumuli in south2 #h4cj ,p4,m41 a very bright and high cumulus in ,s4-,w41 protruding through a layer of dark stratus2 #h4ej ,p4,m41 the cloud bearing ,e4 by ,s41 with three rays of electric light4#af ,illustration3 ,fig4 #ag ,june #bith4 ,a stationary stratus over all1 7,s4-,w4 light72 clear at night1 but distant lightning in ,s4 #cjth4 ,stratus clouds 7,n4-,e4 almost calm72 #h ,a4,m41 raining gently2 #c ,p4,m41 stratus passing off to ,s2 #h ,p4,m41 clear1 pleasant4 ,july #ast4 ,fine and clear2 #h ,a4,m41 cirrus in sheets1 curls1 wisps1 and gauzy wreathes1 with patches beneath of darker shade1 all nearly motionless2 close and warm 7,n4-,e472 a long1 low bank of haze in ,s41 with one large cumulus in ,s4-,w41 but very distant4 ,july #b;d4 ,at #e ,a4,m41 overcast generally with hazy clouds and fog of prismatic shades1 chiefly greenish-yellow2 #g ,a4,m41 7,s4-,s4-,e4 freshening17 thick in ,w2 #h ,a4,m41 7,s4 fresh7 much cirrus1 thick and gloomy2 #i ,a4,m41 a clap of thunder1 and clouds hurrying to ,n42 a reddish haze all around2 at noon the margin of a line of yellowish-red cumuli just visible above a gloomy-looking bank of haze in ,n4-,n4-,w41 7,s4 very fresh27 warm1 #hf2 more cumuli in ,n4-,w4--the whole line of cumuli ,n4 are separated from the clouds south by a clear space4 ,these clouds are borne rapidly past the zenith1 but never get into the clear space--they seem to melt or to be turned off ,n4-,e4 ,the cumuli in ,n4 and ,n4-,w41 slowly spreading ,e4 and ,s42 #c ,p4,m41 the bank hidden by small cumuli2 #d ,p4,m41 very thick in north1 magnificent cumuli visible sometimes through the breaks1 and beyond them a dark1 watery back-ground1 7,s4 strong72 #d4cj ,p4,m41 wind round to ,n4-,w4 in a severe squall2 #e ,p4,m41 heavy rain1 with thunder1 c4--all this time there is a bright sky in the south visible through the rain #ae high2 #g ,p4,m41 clearing1 7,s4-,w4 mod47 ,july #c;d4 ,very fine and clear1 7,n4-,w472 noon1 a line of large cumuli in ,n41 and dark lines of stratus below1 the cumuli moving eastward2 #f ,p4,m41 their altitude #b #dj4 ,velocity #a per minute2 #i ,p4,m41 much lightning in the bank north4#ag ,july #dth4 #f ,a4,m41 a line of small cumulo-stratus1 extending east and west1 with a clear horizon north and south #aj high4 ,this band#ah seems to have been thrown off by the central yesterday1 as it moves slowly south1 preserving its parallelism1 although the clouds composing it move eastward4 ,fine and cool all day--7,n4-,w4 mod47--,lightning in ,n4 ,july #eth4 ,cloudy 7,n4 almost calm71 thick in ,e41 clear in ,w42 same all day4 #fth4 ,fine and clear 7,e4 light72 small cumuli at noon2 clear night4 #gth4 ,warm 7,s4 ,e4 light72 cirrus bank ,n4 ,w42 noon 7,s47 thickening in ,n42 #f ,p4,m41 hazy but fine2 #h ,p4,m41 lightning in ,n42 #aj ,p4,m41 the lightning shows a heavy line of cumuli along the northern horizon2 calm and very dark and incessant lightning in ,n4 #hth4 ,last night after midnight commencing raining1 slowly and steadily1 but leaving a line of lighter sky south2 much lightning all night1 but little thunder4 #hth4 #f ,a4,m4 ,very low scud 7#ejj feet high7 driving south1 still calm below1 7,n4 light72 #aj ,a4,m41 clearing a little2 a bank north with cirrus spreading south2 same all day2 #i ,p4,m41 wind freshening 7,n4 stormy72 heavy cumuli visible in ,s42 #aj4cj ,p4,m41 quite clear1 but a dense watery haze obscuring the stars2 #ab ,p4,m41 again overcast3 much lightning in ,s4 and ,n4-,w4 #ith4 ,last night 7#b ,a4,m4 of #ith7 squall from ,n4-,w4 very black2 #d ,a4,m41 still raining and blowing hard1 the sky a perfect blaze1 but very few flashes reach the ground2 #g ,a4,m41 raining hard2 #h ,a4,m4 7,n4-,w4 strong72 a constant roll of thunder2 noon 7,n4-,e472 #b ,p4,m4 7,n472 #d ,p4,m4 clearing2 #h ,p4,m41 a line of heavy cumuli in ,s41 but clear in ,n-,w41 ,n41 and ,n4-,e4#ai ,,new ,,york ,,storm1 ,,july #h1 #ahec4 ,at #e o'clock ,friday afternoon1 a terrible storm of rain1 hail1 and lightning1 rose suddenly from the north-west1 and passed over the upper part of the city and neighborhood4 ,it was quite moderate in the lower part of the town1 and probably scarcely felt on ,staten ,island4 ,the whole affair lasted not more than a quarter of an hour1 yet the results were most disastrous1 as will be seen by the following accounts from our reporters3 ,happening to be in the neighborhood of the ,palace about #e o'clock ,friday evening1 we sought shelter under its ample roof from an impending thunder storm1 of very threatening appearance1 rapidly approaching from the west4 ,we had scarcely passed the northern entrance1 and reached the gallery by the nearest flight of steps1 when the torrent--it was not rain1 but an avalanche of water--struck the building2 the gutters were filled on the windward side in a moment1 and poured over an almost unbroken sheet of water1 which was driven through the ,venetian blind ventilators1 into and half way across the north-west gallery1 and also through the upper ventilators1 falling upon the main floor of the north transept4 ,workmen hastened to close the blinds1 but that did not prevent the deluge4 ,the tinning of the dome being unfinished1 the water1 of course1 came down in showers all over the centre4 ,many workmen were engaged on the dome when the shower struck it2 several of them1 in their haste to escape such dangerous proximity to the terrific lightning1 came down single ropes1 hand over hand4 ,large number of workmen were engaged all over the exterior1 and such a scampering will rarely be witnessed but once in a lifetime4 ,it was found impossible to close a north window1 used for ingress and egress of workmen upon the rod1 and the water came in1 in almost solid columns4 ,for a time the water was nearly two inches deep on the gallery floor1 and poured down the stairs in miniature cascades4 ,a great number of boxes1 bales1 and packages of goods lay upon the main floor1 among which the water poured down from the edge of the gallery floor in destructive quantities2 ,fortunately but few goods were opened1 and were upon the tables1 or the damage would have been irreparable4 ,as it is1 we fear some of the goods are injured4 ,in the height of the storm1 the centre portion of the fanlight over the western entrance burst in1 and several single lights were broken1 by staging or otherwise4 ,about ten minutes after the storm burst1 the most terrific hailstorm we ever saw began to rattle1 like discharges of musketry1 upon the tin roof and glass sides4 ,some of the masses of ice were as large as hen's eggs4 ,there were probably a thousand excited workmen in the building1 and a good many exhibitors and visitors1 among whom there were some twenty ladies1 some of whom appeared a good deal alarmed at the awful din4 ,a portion of the frame-work of the addition next to #db;d street1 went down with a terrible crash1 and a part of the brick wall of the engine-house on the opposite side of the street1 was blown over1 crushing two or three shanties1 fortunately without any other injury than driving the occupants out into the storm4 ,but an awful scene occurred on the north side of #dc;d street1 directly opposite the ,latting ,tower4 ,here two large unfinished frame buildings were blown1 or rather1 we should judge from appearances1 were crushed down into a mass of ruins1 such as may be imagined by supposing a great weight had fallen1 with a circular1 grinding motion1 upon the first fine fabrics4 ,one of them was partly sided1 and had the rafters up1 but no roof2 the other was sided and rooted with tin1 and was being plastered4 ,we were told it was three stories high1 #ej by #ih feet4 ,we reached the ruins among the first1 after the burst of the storm subsided a little4 ,the scene was such as we pray ,god we may never witness again4 ,a small portion of the roof and upper part of the front of the building stood or rather partly hung over the side-walk4 ,the chamber and lower floor of the front rooms lay flat together4 ,the sides were standing4 ,in the rear all were down4 ,in this building1 besides the workmen1 there were numerous laborers who had taken shelter under its roof when the storm drove them hurriedly from their work4 ,how so many persons escaped death is truly wonderful4 ,it can only be accounted for by supposing that they had a moment's warning1 and rushed into the street4 ,the first alarm was from the tearing off a portion of the tin roof1 which was carried high over another building1 and fell in the street4 ,a horse and cart barely escaped being buried under this4 ,it seems the frame of the other building came down with a deafening crash at the same time1 confusing instead of warning those in danger4 ,at any rate1 before they could escape1 they were buried in a mass of timber1 and three of them instantly killed1 and four or five dangerously wounded2 and others slightly bruised and badly frightened4 ,several would have perished but for timely assistance to extricate them4 ,in this they were greatly assisted by ,jacob ,steinant1 boss carpenter of the ,tower1 who with his men rushed to the rescue1 notwithstanding the pouring down torrents4 ,in ,williamsburgh1 the storm lasted about fifteen minutes1 doing an incalculable amount of damage to dwellings1 foliage1 c4 ,hailstones came down in sizes from that of a hickory-nut to a large apple1 some with such force as to drive them through the cloth awnings4 ,the storm passed over ,brooklyn lightly1 in comparison with the effects across the ,williamsburgh line4 ,on ,flushing avenue1 beyond the ,naval ,hospital1 a number of trees were uprooted1 and the window-panes of the houses shattered4 ,on the corner of ,fulton and ,portland avenues1 three buildings were unroofed1 and the walls of the houses were sprung to the foundation4 ,on ,spencer street1 a new frame building was levelled with the ground4 ,along ,myrtle1 ,classon1 and other streets and avenues of ,east ,brooklyn1 many of the shade trees were uprooted1 and the windows smashed4 ,in ,jay street1 two trees were struck by lightning1 but no other damage ensued4 ,several schooners at the foot of ,jay street were forced from their moorings1 but were soon after secured4 ,a small frame house in ,spencer street1 just put under roof1 was prostrated to the ground4 ,we understand that a large barn filled with hay1 situated on the road between ,bushwick and ,flushing1 was struck by lightning and destroyed with its contents1 embracing several head of live stock4#bj ,july #ajth1 #c ,a4,m4 ,overcast and much lightning in south 7,n4 mod472 #g ,a4,m41 clear except in south2 #f ,p4,m4 7,e472 #aj ,p4,m41 lightning south2 #aa ,p4,m41 auroral rays long but faint1 converging to a point between ,epsilon ,virginis and ,denebola1 in west2 low down in west thick with haze2 on the north the rays converged to a point still lower2 lightning still visible in south4 ,this is an aurora in the west4 #aath4 ,fine clear morning 7,n4-,e472 same all day2 no lightning visible to-night1 but a bank of clouds low down in south1 #b high1 and streaks of dark stratus below the upper margin4 #abth4 ,fine and clear 7,n4-,e472 noon1 a well defined arch in ,s4-,w41 rising slowly2 the bank yellowish1 with prismatic shades of greenish yellow on its borders4 ,this is the ,o4 ,a4 ,at #f ,p4,m41 the bank spreading to the northward4 ,at #i ,p4,m41 thick bank of haze in north1 with bright auroral margin2 one heavy pyramid of light passed through ,cassiopa1 travelling westward #a per minute4 ,this moves to the other side of the pole1 but not more inclined towards it than is due to prospective1 if the shaft is very long2 #aa4aj ,p4,m41 saw a mass of light more diffuse due east1 reaching to ,markab1 then on the prime vertical4 ,it appears evident this is seen in profile1 as it inclines downwards at an angle of #aj or #ab from the perpendicular4 ,it does not seem very distant4 #ab ,p4,m41 the aurora still bright1 but the brightest part is now west of the pole1 before it was east4 #acth1 #f ,a4,m4 ,clear1 east and north2 bank of cirrus in ,n4-,w41 i4e41 from ,n4-,n4-,e4 to ,w4 by ,s42 irregular branches of cirrus clouds1 reaching almost to south-eastern horizon2 wind changed 7,s4-,e4 fresh72 #h ,a4,m41 the sky a perfect picture2 heavy regular shafts of dense cirrus radiating all around1 and diverging from a thick nucleus in north-west1 the spaces between being of clear blue sky4 ,the shafts are rotating from north to south1 the nucleus advancing eastward4 ,appearance of the central vortex descending at #h ,a4,m41 ,july #acth1 #ahec3 ,in ,fig4 #ah1 the circle represents the whole sky from the zenith to the horizon1 yet it can convey but a very faint idea of the regularity and vividness of this display4 ,the reflected image of the sky was received from a vessel of turbid water1 which will be found better than a mirror1 when the wind will permit4 ,illustration3 ,fig4 #ah ,at noon 7same day7 getting thicker 7,s4-,e4 very fresh72 #f ,p4,m41 moon on meridian1 a prismatic gloom in south1 and very thick stratus of all shades2 #i ,p4,m41 very gloomy2 wind stronger 7,s4-,e473 #aj ,p4,m41 very black in south1 and overcast generally4 #adth4 ,last night about #ab ,p4,m4 commenced raining2 #c ,a4,m41 rained steadily2 #g ,a4,m41 same weather2 #h4bj ,a4,m41 a line of low storm-cloud1 or seud1 showing very sharp and white on the dark back ground all along the southern sky4 ,this line continues until noon about #aj at the highest1 showing the northern boundary of the storm to the southward2 #h ,p4,m41 same bank visible1 although in rapid motion eastward2 same time clear overhead1 with cirrus fringe pointing north from the bank2 much lightning in south 7,w4 fresh72 so ends4 #aeth4 ,last night a black squall from ,n4-,w4 passed south without rain2 at #c ,a4,m4 clear above1 but very black in south 7calm below all the time72 #i ,a4,m41 the bank in south again throwing off rays of cirri in a well-defined arch1 whose vortex is south3 these pass east1 but continue to form and preserve their linear direction to the north2 no lightning in south to-night4 #afth4 ,clear all day1 without a stain1 and calm4 #agth4 ,fine and clear 7,n4-,e4 light72 #f ,p4,m41 calm4 #ahth4 ,fair and cloudy 7,n4-,e4 light72 #f ,p4,m41 calm4 #aith4 ,fine and clear 7,n4 fresh72 ,i4 ,v4 visible in ,s4-,w4 #bjth4 #h ,a4,m41 bank in ,n4-,w4 with beautiful cirrus radiations2 #aj ,a4,m41 getting thick with dense plates of cream-colored cirrus visible through the breaks2 gloomy looking all day 7,n4-,e4 light74#ba ,appearance of the ,inner ,vortex at #h ,a4,m41 ,july #bjth1 #ahec1 including the whole sky4 7,see ,fig4 #ai47 ,illustration3 ,fig4 #ai ,this was a different passage of the ,inner ,vortex ascending as compared with the same #bh days before4 ,at that date 7,june #bb7 it did great damage in the central parts of ,illinois4 ,still this last passage was very palpable--the clouds were very irregularly assorted--plates of cirrus above and beneath cumulus--various kinds of cirrus clouds1 and that peculiar prismatic haze which is a common sign of the passage of a vortex4 ,the appearance depicted above is a very common1 although a very evanescent appearance4 ,when the sky appears of a clear blue through the cirri1 there will be generally fresh gales without any great electrical derangement2 but if the clear spaces are hazy1 gradually thickening towards the nucleus1 a storm may be expected4 ,any one who wishes to understand the indications of the clouds1 must watch them closely for many years1 before he can place much reliance upon them4 ,but we shall again advert to this point4 ,we have now passed through one sidereal period of the moon4 ,we might continue the record1 but it would be tedious4 ,the passages of these vortices vary in violence at different times1 as we might expect2 but they never cease to circulate1 and never will as long as the moon remains a satellite to the earth2 and if we take the passage of any of these vortices1 and add thereto the time of one sidereal period of the moon1 we get approximately the time of the next passage4 ,when the elements of the lunar orbit tend to accelerate the passages1 they may come in #bf days2 and when to retard1 in #bh days2 and these are about the limits of the theory4 ,having begun and ended this record of the weather with the passage of the ,inner vortex ascending1 it may not be amiss to notice one more1 7the ,august passage17 as it offers a peculiarity not often so distinctly marked4 ,we have alluded to the greater force of the storms when the passage of the vortex corresponds to the passage of the line of low barometer or the depression point of a great atmospheric wave1 which is also due to the action of the ether4 ,in consequence of these waves passing from west to east1 the storm will only be violent when formed a little to the westward4 ,if the storm forms to the eastward1 we neither see it nor feel it1 as it requires time to develop its strength1 and always in this latitude travels eastward2 so that storms may generally be said to come from the west1 although the exciting cause travels from east to west4 ,in the case now alluded to1 the weather indicated a high barometer1 and the storm formed immediately to the eastward1 even showing a distinct circular outline4 ,we subjoin a description4 ,august #aeth4 ,clear morning 7,n4-,e471 a bank of cumuli in south3 noon quite cloudy in ,s4 and clear in north4 7,n4-,e47 #afth4 ,clear morning 7,n4-,e472 #c ,p4,m41 getting very black in ,e4 and ,s4-,e41 very clear to the westward2 #d ,p4,m41 much thunder and lightning in east1 and evidently raining hard2 #e ,p4,m41 a violent squall from east for #aj minutes2 tore up several trees2 #f ,p4,m41 the storm passing eastward1 clear in west all this time2 #f4cj ,p4,m41 the storm forming a regular arch1 the vertex being in ,s4-,e42 the arch of hazy cirrus and heavy cumulus much lower in ,s4-,e41 wind still moderate from east2 #aj ,p4,m41 clear all around1 but lightning in ,s4-,e4 and ,e4 #agth4 ,fine clear morning 7,w472 noon1 scattered cumuli in north2 #f ,p4,m41 a beautifully regular arch of dense cumuli and cirrus margin in ,n4-,e41 with a constant glimmer of lightning2 #g ,p4,m41 very clear to the west1 and north-west1 and south2 along the northern horizon a line of high peaked cumuli terminating in ,n4-,n4-,w42 a continued roll of distant thunder in the circular bank in ,n4-,e41 and not a moment's cessation to the lightning2 the electric excitement advancing westward along the lines of cumuli2 the cirrus haze also rising and passing towards ,s4-,w42 #h ,p4,m41 the sky alive with lightning1 the cirrus now reaches the zenith2 no streaks of lightning coming to the earth2 they seem to radiate from the heaviest mass of cumuli1 and spread slowly 7sufficiently so to follow them7 in innumerable fibres over the cloudy cirrus portion of the sky2 every flash seems to originate in the same cloud2 #h4cj ,p4,m41 one branching flash covered the whole north-eastern half of the sky1 no leafless tree of the forest could show so many branches2 #i4cj ,p4,m41 all passed to ,s4-,w4 without rain1 leaving behind a large cumulus1 as if it lagged behind4 ,from this cumulus a straight line of lightning shot up #aj above the cloud into a perfectly clear sky1 and terminated abruptly without branching4 ,we have been thus particular in giving these details1 as this was a clear case confirming the principles advanced1 that the vortices do not form a continuous line of disturbance1 in their daily passage around the earth4 ,it shows also that the barometer1 in connection with these principles1 will be a far more useful instrument than it has yet proved itself1 for practical service as an indicator of the weather4 ,,footnotes3 #aj ,for convenience to those wishing to verify the calculation of these triangles1 we have put down each side and angle as found4 ,also1 as an aid to the navigator4 #aa ,daily ,wisconsin1 ,july #g4 #ab ,the author4 #ac ,chicago ,democrat4 #ad ,this was also calculated before the event4 #ae ,the letters in a parenthesis signify the direction of the wind4 #af ,giving this cloud the average velocity of thirty miles per hour1 its altitude was determined by the sextant at twelve miles1 and we think under-estimated4 ,while measuring1 the author's attention was drawn to the fact1 that although it appeared equally dense above and below1 yet its middle part was the brightest1 and as there was only a faint glimmer of twilight in the ,n4-,w41 he concluded that the cloud was self-luminous2 for when the smallest stars were visible1 it glowed about as bright as the milky-way in ,sagittarius4 ,occasionally the whole cloud was lit up internally by the lightning1 and about this time it sent off three rays3 one horizontally1 westward1 which was the faintest2 one about ,n4-,w41 towards ,jupiter1 and the brightest of the three2 and another towards the north4 ,these were not cirrus streaks1 but veritable streams of electric matter1 and had a very decided rotation from left to right1 and continued visible about twenty minutes1 as represented above4 #ag ,this day the central vortex passed in about latitude #dg ,n4--the southern margin cannot be nearer than #bej miles1 throwing off the #dj for the horizontal refraction1 would give eight miles of altitude above a tangential plane4 ,then another seven miles1 for curvature1 will give an altitude of fifteen miles for the cumuli4 ,the height of these thunder-clouds has been much under-estimated4 ,they seem to rise in unbroken folds to a height of ten and twelve miles frequently2 from the data afforded by the theory1 we believe they will be found much higher sometimes--even as much as sixteen miles4 #ah ,these parallel bands1 and bands lying east and west1 are frequent in fine weather between two vortices4 ,sailors consider them a sign of settled weather4 ,after dark there was frequently seen along the northern horizon flashes of lightning in a perfectly clear sky4 ,but they were both faint and low1 not reaching more than #d or #e above the horizon4 ,after sunset there were very distinct rays proceeding from the sun1 but they were shorter than on the evening of the #c;d4 ,these are caused by the tops of the great cumuli of the storm1 when sunk below the horizon1 intercepting the sun's rays1 which still shine on the upper atmosphere4 ,the gradation was very marked1 and accorded with the different distances of the central vortex on the #c;d and #dth--although1 on the #dth1 the nearest distance must have been over four hundred miles to the southern boundary of the storm4 #ai ,it is worthy of notice here1 that ,new ,york1 which only differs by about #dj miles of latitude and #hjj in longitude1 had the storm earlier1 near the time of the passage1 as appears by the appended account of it4 ,this proves1 that a storm affects a particular latitude simultaneously1 or approximately so4 ,if this had to travel eastward to reach ,new ,york1 it would have been the #ajth instead of the #hth4 ,the principal trouble was1 however1 in the early part of the evening of the #hth1 to the south of ,ottawa1 where the strong wind was drawn in from the northward4 ,if a vortex passes from north to south1 leaving the observer between the passages1 there must1 nearly always1 be a winding up squall from the north to clear away the vapory atmosphere4 #bj ,from the ,new ,york ,tribune1 ,july #i1 #ahec4 #ba ,these pages are now in the compositors' hands1 7,nov4 #bast17 and up to the last moment the ,author has observed carefully in ,new ,york the passages of these vortices4 ,october #bdth1 in the inner vortex descending produced a violent storm on the coast1 and much damage ensued4 ,november #gth1 the same vortex ascending was also severe4 ,and on ,november #acth1 early1 the passage of the central vortex ascending1 caused a flood in ,connecticut of a very disastrous nature4 ,would it not pay the insurance offices to patronize such investigations in view of such palpable facts as these8 ,,section ,,third4 ,,objections ,,to ,,lunar ,,influence4 ,we have now presented a theory of the weather1 which accounts for many prominent phenomena1 a few of which we shall enumerate4 ,it is an observed fact1 that in all great storms electrical action is more or less violent1 and that without this element it seems impossible to explain the velocity of the wind in the tornado1 its limited track1 and the formation of large masses of ice or hail in the upper regions of the atmosphere4 ,it is also an observed fact1 that the barometer is in continued motion1 which can only be legitimately referred to a change in the weight of the atmospheric column4 ,this we have explained as due to atmospheric waves1 caused by the greater velocity of rotation of the external ether1 as well as to the action of the three great vortices4 ,these causes1 however1 only partially produce the effect--the greater portion of the daily oscillations is produced by the action of the great radial stream of the solar vortex1 as we shall presently explain4 ,it is an observed fact1 that1 although the storm is frequently violent1 according to the depression of the barometer1 it is not always so4 ,according to the theory1 the storm will be violent1 ceteris paribus1 on a line of low barometer1 but may still be violent1 when the contrary obtains4 ,another fact is the disturbance of the magnetic needle during a storm4 ,storms are also preceded generally by a rise in the thermometer1 and succeeded by a fall2 also by a fall in the barometer1 and succeded by a rise4 ,it is also well known1 that hurricanes are unknown at the equator1 and probably at the poles also4 ,at all events1 they are rare in lat4 #hj1 and1 according to ,capt4 ,scoresby1 storms are there frequently raging to the south1 while above1 there is clear sky and fine weather1 with a stiff breeze from the northward4 ,the greater violence of storms in those regions where the magnetic intensity is greater in the same latitude1 the probable connection of peculiarities in the electric state of the atmosphere with earthquakes1 and the indications of the latter afforded by the magnet2 the preponderance of westerly winds at a great elevation in every latitude on the globe visited by man2 and the frequent superposition of warm layers of air above cold ones at those elevations1 are all facts worthy of note4 ,and the connection of cirrus clouds with storms1 as well as with the aurora1 indicates that the producing cause is external to the atmosphere1 and gradually penetrates below4 ,the theory fully explains this1 and is confirmed by the fantastic wreathings and rapid formation of these clouds in straight lines of a hundred miles and upwards4 ,but time would fail us in pointing out a tithe of the phenomena1 traceable to the same cause1 which keeps our atmosphere in a perpetual state of change1 and we shall only advert to one more peculiarity of the theory4 ,it places meteorology on a mathematical basis1 and explains why it is that a storm may be raging at one place1 while in another1 not very remote1 the weather may be fine1 and yet be dependent on the position of the moon4 ,that the moon has exerted an influence on the weather has been the popular creed from time immemorial2 but1 ignorant of the mode in which this influence was exerted1 men have often been found who have fostered the popular belief for their own vanity or advantage2 and1 on the other hand1 philosophers have assailed it more by ridicule than by argument1 as a relic of a barbarian age4 ,not so with all2 for we believe we are not wrong in stating1 that the celebrated ,olbers compared the moon's positions with the weather for fifty years1 before he gave his verdict against it4 ,he found the average amount of rain at the perigee about equal to the amount at the apogee1 as much at the full as at the change1 and no difference at the quadratures4 ,but this fact does not throw a feather in the scale by which this theory is weighed4 ,popular opinions1 of remote origin1 have almost always some foundation in fact1 and it is not much more wise to reject them1 than to receive them4 ,the ,baron ,von ,humboldt--a man possessing that rare ingredient of learning1 a practical common sense--observes3 ,that arrogant spirit of incredulity which rejects facts1 without attempting to investigate them1 is1 in some cases1 more injurious than an unquestioning credulity4#bb ,if a popular belief or prejudice be absurd1 its traditional preservation for a thousand years or more may very well account for the absurdity4 ,the present system of astronomy still retains the motley garniture of the celestial sphere1 as handed down from the most remote antiquity2 and granting that ages of ignorance and superstition have involved the history of the different constellations in a chaos of contradictory traditions1 there is no doubt at the foundation some seeds of truth which may even yet emerge from the rubbish of fable1 and bear fruit most precious4 ,that the zodial#bc signs are significant records of something worthy of being preserved1 is prejudice to deny2 and we must be allowed to regard the ,gorgons and ,hydras of the skies as interesting problems yet unsolved1 as well as to consider that the belief in lunar influence is a fragment of a true system of natural philosophy which has become more and more debased in postdiluvian times4 ,amongst those who have not summarily ignored the influence of the moon1 is ,toaldo1 a ,spanish physicist1 who endeavored to show the connection between the recurrence of warm and cold seasons1 and the semi-revolution of the lunar nodes and apogee1 and proposed six of those periods1 or about fifty-four years1 as the cycle in which the changes of the weather would run through their course4 ,according to the present theory1 it is not likely such a cycle will ever be discovered4 ,there are too many secular1 as well as periodic influences combining1 to produce the effect2 and the times are too incommensurable4 ,lately1 ,mr4 ,glaisher has presented a paper to the ,royal ,society1 giving about fourteen years from observation4 ,others have lately attempted to connect the changes of the seasons with the solar spots1 as well as with the variations of the magnetism of the earth1 but without any marked result4 ,it may1 however1 be urged1 that if the sidereal period of the moon be approximately a cycle of change1 it would have been detected long ago4 ,one reason why this has been so long concealed1 is the high latitude of the observers4 ,spain1 ,italy1 and ,turkey1 are better situated than other ,european countries2 but the scientific nations lie further north2 and from these the law has gone forth to regulate more southern lands4 ,in the ,united ,states1 particularly in the great plains of the west1 the weather can be better compared2 not only on account of the latitude being more favorable1 but also on account of the greater magnetic intensity of the western hemisphere4 ,it must also be remembered that there are in latitude #dj1 five or six distinct passages of the disturbing cause in one sidereal period of the moon4 ,if two of these periods are drawn closer together by the change of the elements1 the interval between two others must necessarily be increased4 ,besides1 the effect produced is not always the same1 for reasons already adverted to4 ,one vortex may be more violent one month1 or for a few days in one month1 while another may be more active the next4 ,it may also happen that for several successive passages1 the passage shall be central in one latitude1 while two or three degrees north or south1 another place shall be passed by4 ,in different months and in different years1 as well as in different seasons of the year1 the energy of the ether may be augmented or diminished4 ,but it may be said1 that1 supposing the theory true1 if its indications are so uncertain1 it is of little value4 ,by no means4 ,it is true there are many things to be inquired into2 but it is a great thing in this science to be able to take the first step in the right direction1--to find even the key of the portal4 ,it is a great stride to be able to say1 a storm may happen at such a time1 but cannot happen at another2 that a storm1 when raging1 will go in this direction1 rather than in that2 that it will be central here1 and less violent yonder2 and when we consider its bearing on astronomical and other science1 it is difficult to exaggerate its value to the world at large4 ,again1 it may be said that rain1 and cloudy days1 and fresh breezes1 and even strong winds1 sometimes occur1 when the vortices do not pass centrally4 ,this is true2 yet only indicating that where the vortices are central1 an unusual disturbance is taking place4 ,but there is another cause1 which was purposely omitted in considering the prominent features of the theory1 in order not to encumber the question with secondary influences4 ,by referring to ,fig4 #c1 section #a1 we see that the lateral vortices of the globe are continually passing off to the southward1 in the northern hemisphere1 in a succession of dimples1 and continually reforming4 ,we will now represent this mode of action in profile1 as it actually occurs in the illustration we have used4 ,the vortex passing off from ,o1 7,fig4 #bj17 although it does not actually reach the surface of the atmosphere1 affects the equilibrium of the ether1 and1 for a short distance from the parent vortex1 may cause an ascensional movement of the air4 ,if to this is conjoined a northerly wind from the vortex1 a band of clouds will be produced1 and perhaps rain2 but violent storms never occur in the intervals1 except as a steady gale1 caused by the violence of a distant storm4 ,thus1 it will frequently be noticed that these vortices are flanked by bands of clouds1 which pass southward1 although the individual clouds may be moving eastward4 ,hence1 instead of disproving the theory1 they offer strong evidence of its truth2 and could we view the earth from the moon with a telescope1 we should no doubt see her beautifully belted4 ,illustration3 ,fig4 #bj ,but it may be again asked1 why should not the weather be the same generally1 in the same latitude1 if this theory be true8 ,if the earth were a globe of level land1 or altogether of water1 no doubt it would be similar2 but it must be remembered1 that both land and water are very unequally distributed3 that the land is of varying extent and elevation--here a vast plain1 far removed from the ocean1 and there a mountain chain1 interposing a barrier to the free course of the atmospheric currents2 sometimes penetrating in full width into the frigid zone1 and again dwindling to a few miles under the equator4 ,one very important distinction is also to be remarked1 in the superficial area of the different zones1 reckoning from the equator1 and taking the hemisphere as #ajj parts3 ,frigid zone #h parts4 ,temperate #eb ,torrid #dj ,for as the time of rotation in every latitude is the same1 the area to be disturbed in the same time1 is less in high latitudes1 and there a greater similarity will obtain1 ceteris paribus4 ,in lower latitudes1 where both land and water stretch away for thousands of miles1 it is not wonderful that great differences should exist in the electrical and hygrometric state of the air4 ,the summer of many countries is always dry--,california for instance4 ,in winter1 in the same country1 the rains are apparently incessant4 ,this of course depends on the power of the sun1 in diverting the great annual currents of the atmosphere4 ,as long as the dry north-west trade sets down the coast of ,california1 the circumstances are not favorable for giving full development to the action of the vortices4 ,when the trade wind ceases1 and the prevailing winds come from the south1 loaded with vapor1 the vortices produce storms of any magnitude2 but 7and we speak from two years' observation7 the passages of the vortices are as distinctly marked there in winter time1 as they are in the eastern ,states2 and in summer time1 also1 they are very perceptible4 ,the same remark applies to ,mediterranean countries1 particularly to ,syria and ,asia ,minor2 although the author's opportunity for observing lasted only from ,april to ,december1 during one season4 ,if we are told it never rains on the coast of ,peru1 or in ,upper ,egypt1 it does not seriously militate against the theory4 ,the cause is local1 and the ,samiel and the sand storm of the desert1 is but another phase of the question1 explicable on the same general principles4 ,from the preceding remarks it will be seen1 that in order to foretell the character of particular days1 a previous knowledge of the weather at that particular place1 and for some considerable time1 is requisite2 and hence the difficulty of laying down general rules1 until the theory is more fully understood4 ,,modifying ,,causes4 ,we now come to the causes which are auxiliary and interfering4 ,it is natural that we should regard the sun as the first and most influential of these causes1 as being the source of that variation in the temperature of the globe1 which alternately clothes the colder regions in snow and verdure4 ,the heat of the sun undoubtedly causes the ether of the lower atmosphere to ascend1 not by diminution of its specific gravity2 for it has no ponderosity2 but precisely by increase of tension1 due to increase of motion4 ,this aids the ascensional movement of the air1 and therefore1 when a vortex is in conjunction with the sun1 its action is increased--the greatest effect being produced when the vortex comes to the meridian a little before the sun4 ,this has a tendency to make the period of action to appear dependent on the phases of the moon1 which being the most palpable of all the moon's variations1 has been naturally regarded by mankind as the true cause of the changes of the weather4 ,thus ,virgil in his ,georgics1 speaking of the moon's influence and its signs3 ,sin ortu in quarto 7,namque is certissimus auctor7 ,pura1 nec obtusis per clum cornibus ibit2 ,totus et ille dies1 et qui nascentur ab illo1 ,exactum ad mensem1 pluvi ventisque carebunt4 ,hence1 also1 in the present day we hear sailors speak of the full and change1 or the quartering of the moon1 in connection with a gale at sea2 thus showing1 at least1 their faith in the influence of the phenomenon4 ,yet it is actually the case1 at certain times1 that in about latitude #dj and #da1 the storms appear about a week apart4 ,there is some reason1 also1 to suspect1 that there is a difference of temperature on opposite sides of the sun4 ,as the synodical rotation is nearly identical with the siderent period of the moon1 this would require about forty-four years to run its course1 so as to bring the phenomena to exact coincidence again4 ,since these observations were made1 it is understood that ,sig4 ,secchi has determined that the equatorial regions of the sun are hotter than his polar regions4 ,it may be owing to this fact1 that we have inferred a necessity for a change1 whose period is a multiple of the sun's synodical rotation1 but it is worthy of examination by those who possess the necessary conveniences4 ,another period which must influence the character of different years1 depends on the conjunction of the perigee of the lunar orbit with the node4 ,taking the mean direct motion of the moon's perigee1 and the mean retrograde motion of the node1 we find that it takes six years and one day nearly from conjunction to conjunction4 ,now1 from the principles laid down1 it follows1 that when the perigee of the orbit is due north1 and the ascending node in ,aries1 that the vortices of the earth will attain their greatest north latitude2 and when these conditions are reversed1 the vortices will reach their highest limit in the lowest latitude4 ,this will materially affect the temperature of the polar regions4 ,in the following table1 we have calculated the times of the conjunctions of the apogee and pole of the orbit1 taking the mean motions4 ,it may be convenient to refer to by-and-bye1 remembering that when the conjunction takes place due south1 the vortices reach the highest1 but when due north1 the vortices in the northern hemisphere have their lowest upper limit3 ,,conjunction ,,of ,,apogee ,,and ,,pole ,,of ,,orbit4#bd ,year4 ,month and ,day4 ,longitude4 #ahjd1 ,april #ahth1 #bbj #ahaj1 #agth1 #ajd #ahaf1 #afth1 #cdh #ahbb1 #aeth1 #bcb #ahbh1 #adth1 #aaf #ahcd1 #abth1 #cfj #ahdj1 #aath1 #bdd #ahdf1 #ajth1 #abh #aheb1 #ith1 #ab #aheh1 #hth1 #bee #ahfd1 #gth1 #aci #ahgj1 #fth1 #bc #ahgf1 #eth1 #bfg ,by this we see that the vortices have never attained their highest limit during the present century1 but that in #aheh their range will be in a tolerable high latitude1 and still higher in #ahgf--neglecting the eccentricity of the orbit4 ,a very potent influence is also due to the heliocentric longitude of the sun1 in determining the character of any given year4 ,let us explain3 ,the moon's inertia forces the earth from the mechanical centre of the terral system1 but is never able to force her clear from the central axis4 ,with the sun it is different4 ,he possesses many satellites 7planets74 ,jupiter alone1 from his great mass and distance1 is able to displace the whole body of the sun4 ,if other planets conspire at the same side1 the centre of the sun may be displaced a million of miles from the mechanical centre of the solar system4 ,considering this centre1 therefore1 as the centre of an imaginary sun1 from which heliocentric longitudes are reckoned1 the longitude of the real sun will vary with the positions of the great planets of the system4 ,now1 although this systematic longitude will not be exactly similar to the heliocentric longitude reckoned from the sun's centre1 yet1 for the purposes intended1 it will correspond sufficiently1 and we shall speak of the longitude of the sun as if we reckoned heliocentric longitudes from the mechanical centre of the system4 ,when we come to consider the solar spots1 we shall enter into this more fully4 ,in the following diagram we shall be able to perceive a cause for variation of seasons in a given year1 as well as for the general character of that year4 ,illustration3 ,fig4 #ba ,let ,s represent the centre of the sun1 and the circle a vertical section of the sun1 cutting2 through the centre1--,,sj being in the equatorial plane of the vortex1 of which ,,zz represents the axis4 ,as the ether descends the poles or axis at ,z1 it is met by the current down the opposite pole1 and is thence deflected in radii along the equatorial plane to ,j4 ,but on the side ,s1 the ether is opposed by the body of the sun2 its direction is consequently changed1 and cross currents are produced1 assuming it as a principle1 that the ethereal fluid is permeable by other currents of similar matter1 and that it tends always to move in right lines4 ,this granted1 it is evident that1 in passing the sun1 the quick moving ether forms a conical shell1 7the sun being at the apex17 so that the strongest current of ether is in this conical shell1 or at the surface of this conical space4 ,as the plane of the ecliptic is not much inclined to the sun's equator1 and this last probably not much inclined to the plane of the vortex1 should the earth have the same heliocentric longitude at the time1 7or nearly the same17 she would be in an eddy1 as respects the radial stream1 and be protected from its full force by the body of the sun4 ,now1 the ether comes down the axis with the temperature of space1 and may possibly derive a little additional temperature in passing over the body of the sun2 so that in this position the earth is protected from the chilling influence of the radial stream1 by being protected by the body of the sun4 ,and although1 from the immense velocity of the ether1 it cannot derive much additional temperature1 there may still be an appreciable difference1 due to this cause4 ,it is the chilling influence of the ethereal stream which originated the idea among philosophers1 of frigorific impressions1 darted from a clear sky4 ,in some years the sun will be nearly in the centre of the system2 in other years the axis of the vortex will not come near the sun4 ,and as the sun's longitude may vary through the entire circle1 it may happen that the earth's longitude shall coincide in winter or summer1 or spring or autumn4 ,when1 however1 the earth emerges from the protection of the sun1 and enters the conical shell1 considered as a space of considerable depth1 she will again be exposed to the full force of the radial stream1 rendered more active by the previous deflection1 and by the numerous cross currents pervading it2 so that a mild and calm winter may be succeeded by a cold and stormy spring4 ,the present season1 7#ahec7 the earth's longitude coincided with the sun's longitude in about #ace1 and consequently was in the conical space spoken of1 during ,february and ,march2 but the radius vector of the sun's centre1 being then less than #cjj1jjj miles1 the protection was not as complete as it is sometimes4 ,still1 the general fineness of these months was remarkable2 yet in ,april and ,may1 when the earth became again exposed to the action of the solar stream1 the effect was to retard the spring1 and disappoint the prognostications of the weather-wise4 ,in applying these principles1 we must consider the effect in those latitudes which are more readily affected1--that is1 in the temperate zone1 midway between the two extreme zones of heat and cold4 ,in #ahcg and #ahch1 the longitude of the sun's centre corresponded with the earth's1 in ,august and ,september1 when there was neither rain nor electrical excitement2 and consequently those seasons were sickly over the whole country4 ,now1 there is another cause which renders the months of ,august1 ,september1 and ,october1 deficient in electrical energy1 and consequently more prone to be sickly4 ,if1 therefore1 the two causes unite their influence1 the autumnal months will be more sickly at those times4 ,this last cause1 however1 only affects the northern latitudes in autumn1 and consequently1 ceteris paribus1 the autumnal months should not be so proverbially sickly in the southern hemisphere4 ,this is1 however1 only suggestive4 ,again1 in #ahdc1 the winter was very mild in ,january and ,february2 but in ,march it turned cold and stormy1 and continued through ,april4 ,in this year the longitude of the sun was nearly the same as in #ahec1--the two longitudes of the earth and sun corresponding about the last of ,january2 but in ,march1 the earth forsook the comparative calm produced by the sun's position1 and hence the greater cold4#be ,thus it appears at every step we take1 that the different members of the solar system do indeed belong to the same family1 whose least motions have their influence on the rest4 ,who could have anticipated that the position of ,jupiter in his orbit had anything to do with the health of this remote planet1 or with the mildness of its seasons8 ,in this we have a clue to the origin of that astrological jargon about planetary aspects being propitious or malign4 ,philosophers are even yet too prone to wrap themselves in their mantle of academic lore1 and despise the knowledge of the ancients1 while there is reason to believe that the world once possessed a true insight into the structure of the solar system4 ,as war became the occupation of mankind1 under the despotic rule of ambition1 so truth retired1 and ignorance seizing upon her treasures1 has so mutilated and defaced them1 that their original beauty no longer appears4 ,let us hope that the dawn of a better day is approaching4 ,there is yet another cause 7just alluded to7 which modifies the action of the vortices4 ,we have shown that1 if the periodic times of the planets are approximately equal to the periodic times of the contiguous parts of the solar vortex1 the density of the ether is directly as the square roots of the distances from the centre4 ,as the earth is at her perihelion about the first of ,january1 the density of the surrounding ether is then less than in other parts of the orbit2 consequently1 if we suppose that there is a continual tendency to equilibrium1 the ether of space must press inwards1 during the time between the perihelion and aphelion1 7i4e4 from ,january to ,july17 lowering the temperature and increasing the electrical action of those months4 ,as the distance from the sun is most rapidly augmenting about the first of ,april1 and the effective power of the sun's radiation is most rapidly increasing in ,may2 by combining the two we shall find1 that about the first of ,may we shall have considerable electrical action1 and cold weather4 ,this explains also1 in part1 the prevalent tradition of certain days in ,may being very cold4#bf ,when the earth leaves the aphelion1 a reaction takes place1 being most rapid in ,september4 ,there is then an escape of ether from the earth1 which keeps up the temperature1 and causes these months to be sickly1 from the negative electrical state of the atmosphere4 ,in the southern hemisphere1 the effects in the same season will be reversed1 which may partly account for the greater degree of cold in that hemisphere1 and for accelerating the approach of both summer and winter1 while in the north they were both retarded4 ,we must now advert to another cause1 which of all others is probably the most important1 at least to the other members of the solar system4 ,in every part of the solar vortex the ether is continually pressing outwards4 ,we are not now speaking of the radial stream1 but of the slower spiral motion of the ether around the axis of the vortex1 whose centrifugal force is bearing the whole body of the ether outwards1 thus rarefying the central parts1 and thus giving rise to the polar influx1 from which arises the radial stream4 ,this may be made more intelligible1 by reflecting that the polar current is comparatively dense ether1 and that the length of the axis of the vortex prevents this influx current coming in sufficient quantities to restore an equilibrium in the density of the medium4 ,yet1 what does come down the poles1 is distributed rapidly along the equatorial plane1 leaving the space still rarefied4 ,now we perceive1 that in order for the radial stream to continue in action1 requires the whole medium of the vortex to be also moving outward2 it is therefore continually condensed as it proceeds4 ,this condensation necessarily converts much of the specific heat of the ether into sensible heat2 so that the temperature of the medium is continually increasing1 as the distance from the sun increases4 ,when we contemplate the solar system as the emanation of one ,great ,mind1 we naturally seek for evidence of the wisdom of a supreme intelligence in all the arrangements of that system4 ,but1 however humbly and reverently we may speak of these arrangements1 we can scarcely avoid the wish1 that the planetary distances had been differently arranged1 if ,newton's doctrine be true1 that space is a vacuum1 and that the heat of a planet1 is inversely as the squares of the distances from the sun4 ,for1 to speak of the temperature of space1 except as dependent on this law1 is one of those many incomprehensible inconsistencies with which philosophers are chargeable4 ,if the ,newtonian philosophy is literally true1 space has no temperature1 and the surface heat of the planet ,neptune is nearly #a1jjj times less than on our own globe4 ,again1 on ,mercury it is seven times greater1 which heat would scorch and consume every organic substance on the earth1 and speedily envelope the boiling ocean in a shroud of impermeable vapor4 ,granting even that space may not be a vacuum1 and yet the law of gravitation be true1 we may still be allowed to consider both ,saturn and ,uranus and ,neptune1 as inhospitable abodes for intelligent creatures2 and1 seeing the immensity of room in the system1 there is no reason why these planets might not have been permitted to revolve nearer the great source of light and life and cheering emanations4 ,to suggest the resources of ,omnipotence is no argument4 ,he has surrounded us with analogies which are seen1 by which we may attain a knowledge of those which are not seen2 and we have every reason to suppose that the great ,author of nature is not indifferent to the aspects under which his works reveal him unto his creatures4 ,yet there is 7on the above hypothesis7 an apparent want of harmony in the planetary distances2 and if frail mortality may be permitted to speak out1 an explanation is needed to obviate this seeming anomaly in the economy of the world4 ,the more we learn of the physical arrangements of the universe1 the more do they correspond with our experience of the nice adaptation of the means to the end which obtains in our own globe1 and we can only judge of other planets by the analogies around us4 ,here1 there1 are extremes of temperature it is true3 it is necessary there should be1 and we can see and understand the necessity in all such cases1 and how they conduce to the general average of good4 ,but1 astronomers can give no reason why it is necessary that some planets of our system should be placed so remote that the sun is frittered down to a star1 whose heatless light is but a mockery to those frigid realms4 ,now1 according to this theory1 the temperature of ,neptune may be far more uniform and conducive to life than that of our own globe4 ,the chilling influence of the solar stream at that planet being nearly null1 and the temperature of the surrounding space far greater4 ,so also ,mercury1 instead of being the burning planet of the schools1 may suffer the most from cold4 ,the planet ,mars is generally considered1 of all the members of the system1 most nearly to resemble our own world4 ,the telescope not only reveals seas and continents1 but the snowy circles round his poles1 which appear to increase and diminish1 as his winter is beginning or ending4 ,this planet's ecliptic is similar to our own in inclination or obliquity1 his distance1 also1 is far greater1 and his winter longer2 yet1 for all this1 his snow zones are less than on our own globe4 ,this anomalous fact has1 we believe1 never been noticed before2 but it is explicable on the theory1 and therefore confirms it4 ,mars has no satellite1 and therefore his centre will be coincident with the centre of the marsial vortex4 ,there will be no lateral vortices to derange his atmosphere1 and if the axis of his vortex coincides also with the axis of the planet1 the central vortex will be continually over the poles1 and there will be no storms on the planet ,mars4 ,a capital fact connected with this1 is the want of belts1 as in ,jupiter and ,saturn2 for these planets have satellites1 and if they are not massive enough1 the belts may be produced by an obliquity in the axis of the ,jovial and ,saturnial vortices4 ,if ,mars had an aurora like the earth1 it is fair to presume the telescope would ere this have shown it4 ,he is1 therefore1 in equilibrium4 ,in applying this reasoning to the earth1 we perceive that a certain influence is due to the difference of temperature of the ethereal medium surrounding the earth1 at perihelion and aphelion1 being least at the former1 and greatest at the latter4 ,as a modifying and interfering cause in the action of the vortices1 we must mention the great natural currents of the atmosphere1 due to the earth's rotation4 ,it is considered that the sun is the principal cause of these great currents4 ,by elevating the surface atmosphere of the equator1 a lateral current is induced from the north and south2 but on account of the enlarging circles of latitude1 their direction tends more from the north-east and south-east4 ,these currents are usually called the trades4 ,without disputing the correctness of this1 it may be doubted whether the whole effect is due to the sun4 ,as this principle affects the ocean likewise1 it is necessary to look into it2 and in order to simplify the question1 we will first suppose our globe covered entirely by the ocean1 without any protuberant land4 ,let us assign a uniform depth of ten miles to this ocean4 ,in the ,fig4 following1 the two circles will represent the surface and bottom of the ocean respectively4 ,the axis of rotation is thus represented by the line ,,pp4 ,let us consider two particles of water at m and n1 as feeling the influence of this rotation2 they will1 of course1 be both urged towards the equator by the axifugal force4 ,now1 every particle in the ocean being also urged by the same force1 it might be supposed that after a protuberant mass of water had accumulated at the equator ,,ee1 the whole ocean would be in equilibrium4 ,this would not follow4 ,the particle at m is urged by a greater force than n2 consequently the particle at n is overborne by the pressure at m4 ,considering both in the same direction1 yet the particle at n must give way1 and move in the opposite direction4 ,just as the heaviest scale of the balance bears up the lightest1 although both gravitate towards the same point4 ,this is so self-evident that it would seem unnecessary to dwell upon it1 had not the scientific world decided that the rotation of the earth can cause no currents either in the atmosphere or in the ocean4 ,illustration3 ,fig4 #bb ,the axifugal forces of the two particles m and n are directly as the lines ,mm and ,nn1 and if the gravitating forces were also as the radii ,tm and ,tn1 no motion would be produced4 ,admitting even the ,newtonian law to be rigidly exact1 the earth cannot be considered a homogeneous globe1 but1 on the contrary1 the density of the central parts must be nearly thirty times greater than the density of the surface of the ocean4 ,the ratio of the gravitating forces of these two particles is1 therefore1 less than the ratio of their respective radii1 and the axifugal tendency of the particle at n is more than proportionally restrained by the central gravitation2 and hence m will move towards the equator1 and n towards the poles1 as represented in the ,fig4 ,it is on account of the overwhelming momentum of the surface waters of the ,south ,pacific over the ,north1 that the ,pacific1 at ,panama1 stands six or seven feet higher than the ,atlantic4 ,we shall again allude to this interesting fact4 ,according to newspaper reports of a lecture1 delivered in ,new ,york1 by ,lieut4 ,maury1 ,u4 ,s4 ,n41 this gentleman endeavors to explain the currents of the ocean1 by referring them to evaporation in the tropics4 ,the vapor leaves the salt of the water behind1 and thus1 by continual accumulation1 the specific gravity of the tropical waters is greater than that of the superficial waters nearer the poles2 the lighter water1 therefore1 passes towards the equator1 and the heavier water below1 towards the poles4 ,if this be a correct statement of that gentleman's theory1 fidelity to our standards compels us to question the soundness of the conclusion4 ,the mere fact of the surface water of the ocean being lighter than that of the bottom1 cannot on any known principles of science cause any movement of the surface waters towards the equator4 ,when such an acute and practical physicist is driven1 by the palpability of the fact that the polar waters are continually tending towards the equator1 to seek the cause in the tropical evaporation1 it shows that the dogma1 which teaches that rotation can produce no motion1 is unsound4 ,sir ,john ,herschel1 in speaking of the solar spots1 says3 ,we may also observe that the tranquillity of the sun's polar1 as compared with his equatorial regions 7if his spots be really atmospheric71 cannot be accounted for by its rotation on its axis only1 but must arise from some cause external to the sun1 as we see the belts of ,jupiter and ,saturn and our trade winds arise from a cause external to these planets combining itself with their rotations1 which alone 7and he lays an emphasis on the word7 can produce no motions when once the form of equilibrium is attained4 ,with respect to the origin of the solar spots1 we have no disposition to question the conclusion2 but1 as regards the principle laid down1 that rotation can produce no motions when once the form of equilibrium is attained1 we must unequivocally dispute it4 ,if our atmosphere were of uniform density1 the rotation of the earth would cause no current such as we have described2 with our atmosphere as it is1 the result will be different4 ,the momenta of two portions of matter are the products of their inerti by their motions1 and1 in the present case1 we must take the inerti of equal spaces4 ,a cubic inch of air at the surface1 and at three miles above the surface1 is as #b to #a2 but their centrifugal velocity varies only as the radii of the respective spheres1 or as #acbj to #acba4 ,in the polar regions1 therefore1 the momentum of the surface air preponderates1 and1 in this case1 the surface current is towards the equator1 and the upper current towards the poles4 ,when1 however1 the centrifugal velocity is considerably increased in a lower latitude1 and the curvature of the surface becomes more and more inclined to the direction of that resolved part of the centrifugal force1 which is always from the axis1 the surface layers will evince a tendency to leave the surface1 and an intermingling will then take place in the space between latitude #gj and #ej1 or in latitude #fj4 ,as this layer is continually urged on in the same direction by the surface layer of latitudes above #fj1 the upper layer now becomes a current setting towards the equator1 and1 consequently1 the back current occupies the surface4 ,now1 considering that the rarefying action of the sun is elevating the air under the equator1 there must necessarily be an upper current from the equator to the poles2 so that if we conceive the two currents to meet about latitude #cj1 there will be a second intermingling1 and the current from the poles will again occupy the surface4 ,thus1 we regard a part of the effect of the trades to the rotation of the earth1 which is the chief impelling power at the poles1 as the sun is at the equator2 and the latitudes #fj and #cj will be marked by some especial phenomena of temperature1 and other meteorological features which do actually obtain4 ,these would be much more marked if the irregular configuration of land and sea1 the existence of mountain chains1 and the different heating power of different latitudes1 owing to the unequal distribution of the land1 did not interfere2 and the currents of the air 7disregarding the deflection east and west7 might then be represented by a treble link or loop1 whose nodes would vary but little from latitudes #cj and #fj4 ,as it is1 it has1 no doubt1 its influence1 although unimportant1 when compared with the disturbing action of the ethereal vortices4 ,there is another phenomenon due to the action of the radial stream1 which has given much trouble to the physicist1 and which has yet never been explained4 ,this is the horary oscillations of the atmospheric pressure which1 in some countries are so regular that the time of day may be ascertained by the height of the barometer4 ,according to ,humboldt1 the regularity of the ebb and flow in the torrid regions of ,america1 is undisturbed by storms or earthquake4 ,it is supposed that the maxima occur at #i ,a4,m4 and #aj ,p4,m41 and the minima at #d ,a4,m4 and #d ,p4,m4 ,from the morning minimum to the morning maximum is1 therefore1 five hours2 from the evening minimum to the evening maximum is #f hours2 from the evening maximum to the morning minimum is #e hours1 and from the morning maximum to the evening minimum is #g hours4 ,again1 these oscillations are greatest at the equator1 and diminish with the increase of latitude4 ,illustration3 ,fig4 #bc ,if we suppose the earth's axis perpendicular to the plane of the vortex1 and ,p the pole in the above figure1 and ,,sp the line joining the centre of the earth and sun1 ,m and m will represent the points in the earth's equator where it is midday and midnight respectively4 ,the solar stream penetrates the terral vortex2 and strikes the earth's atmosphere along the lines parallel to ,,sp4 ,the direct effect would be to pile up the atmosphere at ,n and n2 and therefore1 were the earth at rest1 the maximum would be at #f ,a4,m4 and #f ,p4,m41 and the minimum at midday and midnight2 but the earth rotating from ,n towards ,m1 carries along the accumulated atmosphere1 being more sluggish in its motions than the producing cause1 which cause is still exercised to force it back to ,n4 ,from this cause the maximum is now found at ,k4 ,for a like reason the minimum at ,m would be found at ,l1 but on account of the motion of the earth being now in the same direction as the solar stream1 the minimum is found still more in advance at k2 so that1 according to the theory1 the interval between the morning maximum and the evening maximum1 should be greater than the interval between the evening maximum and the morning maximum2 and so it is1 the first being #ac hours and the last #aj hours4 ,the morning minimum should also be less marked than the evening minimum1 and this also is a fact4 ,the effect also should be greater in the tropics than in high latitudes1 which again also obtains2 being #a4cb ,french lines at the equator1 and only #j4ah at latitude #gj4 ,had the earth no obliquity1 the effect would be as the squares of the cosines of the latitude2 but the ratio is diminished by the inclination of the axis4 ,but there are other variations of the barometer of longer period1 apparently depending on the phases of the moon1 but which cannot be reconciled to the attracting power of the moon as an atmospheric tide2 and ,arago concluded that they were due to some special cause1 of which the nature and mode of action are unknown4 ,perhaps this theory will obviate the difficulty1 as although the central vortex comes to the meridian at the same time as the moon1 its effect will be different on the inferior meridian to what it is on the superior one2 whereas the moon's attraction should be the same on both4 ,that the passage of a vortex over or near a particular place should affect the barometer1 is too obvious to need explanation1 and therefore we may say that the theory will explain all those varieties both small and great1 which have caused so much speculation for the last fifty years4 ,,terrestrial ,,magnetism4 ,in applying the theory to the magnetism of the earth1 we must bear in mind that the earth is probably magnetic by induction1 and not in virtue of its own specific action4 ,the rotation of the surrounding ether1 and the consequent production of a radial stream1 calls the ether into motion within the earth's interior1 as well as on the surface2 but it does not follow that the ether shall also enter the earth at its poles and escape at its equator1 for the obliquity of the vortex would interfere with this result4 ,it is sufficient that this does occur in the terral vortex immediately surrounding the earth4 ,from late experiments it is pretty well established that the axial direction of the needle1 7and of other bodies also17 is due to peculiar internal arrangement in lamin or layers1 the existence of which is favorable to the passage of the magnetic current4 ,according to the experiments#bg of ,dr4 ,tyndal1 it is found that the magnetism of a body is strongest along the line of greatest density4 ,as1 therefore1 the lamin of bodies may be considered planes of pressure1 when these planes are suspended horizontally1 the directive force is greatest1 and the longest diameter of the body sets axial4 ,on the other hand1 when the body was suspended so that the lamin were vertical1 the longest diameter set equatorial4 ,now1 we know that the crust of the earth is composed of lamin1 just as the piece of shale in ,doctor ,tyndal's experiments1 and that these layers are disposed horizontally4 ,and whatever force originally arranged the land and water on our globe1 it is evident that the continents are longest from north to south1 and therefore correspond to the natural direction of the magnetic force4 ,in consequence of the intrinsic difficulties of this question1 and the mystery yet attaching to it1 we may be permitted to enter a little more minutely into it1 and jointly consider other questions of interest1 that will enable us to refer the principal phenomena of terrestrial magnetism to our theory4 ,we have before adverted to the discrepancies in the earth's compression1 as determined by the pendulum1 and also to the uncertainty of the moon's mass1 as deduced from the nutation of the earth's axis4 ,it is also suspected that the southern hemisphere is more compressed than the northern2 and other phenomena also point out the inadequacy of the law of gravitation1 to account for the figure of the earth4 ,from the invariability of the axis of rotation1 we must conclude that whatever form is the true form1 it is one of equilibrium4 ,in casting our eyes over the map of the world1 we perceive that the surface is very unequally divided into land and sea2 and that the land is very unequally arranged1 both north and south1 and east and west4 ,if we compare the northern and southern hemisphere1 we find the land to the water about #c to #a4 ,if we take the ,pacific portion1 and consider the north end of ,new ,zealand as a centre1 we can describe a great circle taking in one half the globe1 which shall not include one-tenth of the whole land4 ,yet the average height of the remaining nine-tenths1 above the level of the sea1 is nearly #a1jjj feet4 ,call this nine-tenths nearly equal to one-fourth of the whole surface1 and the protuberant land in the hemisphere1 opposite the ,south ,pacific1 amounts to #a_/cj1jjj part of the whole mass of the earth1 or about #a_/gjj of the mass of the moon4 ,again1 the mean density of the earth is about #e--water being unity1--and the mean density of the surface land is only about half this3 but three-fourths of the whole surface is water4 ,hence1 we see that the materials of the interior of the earth must be either metallic or very compressible4 ,to assign a metallic nucleus to the earth1 is repugnant to analogy2 and it is not rendered even probable by facts1 as we find volcanic emissions to contain no heavier elements than the sedimentary layers4 ,besides1 there are indications of a gradual increase of density downwards1 such as would arise from the compressibility of the layers4 ,seeing1 therefore1 the equilibrium of the whole mass1 and the consequent hydrostatic balance of the land in the sea1--seeing also the small compressibility of the solid portions1 and the great compressibility of the fluid1 the inference is legitimate that the whole is hydrostatically balanced1 and that our globe is a globe of water1 with an intermediate shell of land1 specifically lighter than the fluid in which it is suspended4 ,where this shell is of great thickness1 it penetrates to greater depths1 and attains to greater elevations above the surface of the aqueous globe2 where it is less thick1 it is found below the surface1 and forms the bottom of the upper ocean4 ,recent soundings give much greater depths to some parts of the ocean1 than the most elevated land upon the globe4 ,captain ,denham1 of ,h4 ,b4 ,m4 ship ,herald1 lately sounded in #cg south and #cg west1 and found bottom at #g1gjf fathoms1 or about nine ,english miles4 ,as the interior portions of our globe are totally unknown1 and the compressibility of water is well established1 it is just as sane to consider water the most abundant element of nature1 as solid land4 ,the great question to ask is1 whether there may not be other phenomena incompatible with this supposition8 ,it is plain that the permanency of terrestrial latitudes and longitudes would be unaffected by the conditions we have supposed4 ,would the precession of the equinoxes be also unaffected8 ,mr4 ,hopkins has entered into such an investigation1 and concludes3 ,upon the whole1 then1 we may venture to assert that the minimum thickness of the crust of the globe1 which can be deemed consistent with the observed amount of precession1 cannot be less than one-fourth or one-fifth of the radius of the earth4 ,these investigations were made on the hypothesis of the interior fluidity being caused by the fusion of the central portions of a solid globe2 but it is evident that the analytical result would be the same if these central parts were water1 inclosed by an irregularly-spherical shell of land4 ,nor would the result be affected1 if we considered certain portions of the interior of this solid shell to be in a state of fusion1 as no doubt is the case4 ,may not the uncertainty of the mass of the moon1 be owing to the fact that this shell is not so rigidly compacted but that it may yield a little to external force1 and thus also account for the tides in the ,pacific groups1 rather obeying the centrifugal force due to the orbit velocity of the earth1 than the attraction of the moon8 ,since the days of ,hipparchus the sidereal day has not diminished by the hundredth part of a second2 and1 consequently1 seeing that the contraction of the mass must be limited by the time of rotation1 it is inferred that the earth has not lost #a_/ejhth of one degree of heat since that time4 ,this conclusion1 sound as it is1 is scarcely credible1 when we reflect on the constant radiation into a space #fj below zero4 ,admit that the globe is a globe of water1 whose average temperature is the temperature it receives from the sun1 and the difficulty vanishes at once4 ,its diameter will be invariable1 and the only effect of the cooling of the solid parts will be to immerse them deeper in the water1 to change the relative level of the sea without changing its volume4 ,this is no puerile argument when rightly considered2 but there is another phenomenon which1 if fairly weighed1 will also conduct us to the same views4 ,it is now a fact uncontroverted1 that the sea does actually change its level1 or rather1 that the elevation of continents is not only apparent but real4 ,the whole coast of ,sweden and ,finland is rising at the present day at the rate of four feet in a century1 while on the south a contrary effect is produced4 ,various hypotheses have been formed concerning this interesting fact4 ,yet from the indications of geology1 it must have been an universal phenomenon in the early ages of the world1 in order to account for the emersion of sedimentary deposits from the fluid which deposited them4 ,may not internal fires be yet spreading1 and the continents expanding instead of contracting8 ,and may there not be an inequality in this process1 so as necessarily to immerse in one direction nearly as much as to elevate in another8 ,one fact is certain1 the elements are scattering the materials of the land along its ,oceanic coasts1 which of itself must produce a very minute effect in disturbing the hydrostatic balance2 but a more efficient agent is the earthquake and volcano4 ,the upheaving of tracts of land by earthquakes1 as on the coast of ,chili would thus be satisfactorily explained1 by attributing a certain resistance due to cohesion or friction preventing a gradual change of level1 but producing it suddenly by the jar of the earthquakes4 ,may we not inquire also1 whether the facility with which the earth seems moved by this destructive agent1 does not point to the same solution as the irregularity of the figure of the earth8 ,this is a subject on which it is allowable to speculate1 especially if any light can be thereby thrown on the still more mysterious source of terrestrial magnetism4 ,it is for such a purpose that we have permitted ourselves to digress from that subject4 ,in this connection we also may acknowledge our indebtedness to the sacred volume for the first germ of this theory of the weather4 ,believing in the authenticity of the ,mosaic history of the deluge1 the author found it difficult to refer that event to other than natural causes1 called into action by the operation of other causes1 and all simultaneous with the going forth of the fiat of ,omnipotence4 ,thus reasoning1 he was led to regard the deluge as a physical phenomenon inviting solution1 and as a promising exponent to the climatology of the early world4 ,he looked upon the bow of promise1 as the autograph of the ,creator1 the signature to a solemn bond1 upon which the eye of man had never before rested4 ,but if there was no rainbow before the deluge1 there was no rain2 and following up this clue1 he was not only enabled to solve the problem1 but also led to the true cause1 which produces the principal commotions in our atmosphere4 ,science boasts of being the handmaid of religion2 yet there are names of note in her ranks who have labored rather to invest this phenomenon with the mantle of fable1 and to force it into collision with the records graven on the rocky pages of geognosy4 ,but the world is ever prone to be captivated by the brilliancy of misapplied talents1 instead of weighing merit by its zeal in reconciling the teachings of those things which are seen1 with those which are revealed4 ,if our globe be constituted as we suppose1 the land might experience repeated submersions1 without involving the necessity of any great departure from established laws4 ,and we might refer to the historical record of one of these1 with all the minute particulars as positive data1 imposing on us the necessity of admitting that the solid parts of the globe are hydrostatically balanced in the sea4 ,but1 modern science is not always correctly defined when called the pursuit of truth1 nor human learning the means of discovering it4 ,if we could divest ourselves of this prejudice1 we should have a ready solution of the difficulty presented by the earth having two north magnetic poles1 and probably two also in the south4 ,for1 by regarding the old and new continents as two distinct masses of land whose bases are separated by #f1jjj miles of water1 we recognize two great magnets1 dependent1 however1 for their magnetism1 on the rotation of the terral vortex4 ,this is no place to enter into a lengthy discussion of such a difficult subject as magnetism1 but we may be allowed to enter a protest against the current theory of electro-magnetism1 viz43 that a force is generated by a galvanic current at right angles to the producing cause1 which is contrary to the fundamental principles of mechanics4 ,we may conceive that a current is induced from or to the surrounding space by the rarefaction or condensation attending the transmission of such a current along a wire1 and that rotation should follow1 just as a bent pipe full of small holes at the lower end1 and immersed in water as a syphon1 will generate a vorticose motion in the water2 but mere juxtaposition1 without participation and communication with the general current1 is irrational1 and1 therefore1 not true4 ,we have always regarded a magnetic needle as a part of the great natural magnet1 the earth2 that its north pole actually points to the north1 and its south pole to the south2 and1 being free to move1 it is affected by the circular motion of the surrounding ether1 and by every motion by which the ether is directed4 ,if there was any attraction between the earth and the needle1 opposite poles would be presented1 but it is not so--the force is merely directive4 ,,magnetic ,,variations4 ,let us now see whether we cannot assign an adequate cause for the secular and periodic variations in the inclination and declination of the needle4 ,these have been generally referred to changes of temperature1 as in fact1 also1 the magnetism of the earth is sometimes ascribed to galvanic or electric currents1 called forth by a daily change of temperature4 ,our theory gives a totally different explanation of these variations4 ,in the northern hemisphere1 the north point of the needle moves from east to west in the morning from about #h ,a4,m4 to #a ,p4,m41 and returns to its mean position about #aj ,p4,m4 ,it then passes over to the east1 and again returns to its mean position about #h or #i ,a4,m4 ,the analogy of this motion1 with the horary changes in the barometer1 indicate a common origin4 ,humboldt1 in the instructions he drew up for the ,antarctic ,expedition under ,sir ,james ,ross1 says3 ,the phenomena of periodical variations depend manifestly on the action of solar heat1 operating probably through the medium of thermo electric currents induced on the earth's surface4 ,beyond this rude guess1 however1 nothing is yet known of their physical cause4 ,it is even still a matter of speculation whether the solar influence be a principal or only a subordinate cause4 ,that the sun may exert a modifying influence on the phenomenon is not unlikely1 but that he cannot be the principal cause1 is evident from the following considerations4 ,these horary variations of the magnetic needle are as great at the bottom of deep mines far removed from solar influence1 as on the surface4 ,they are as great1 ceteris paribus on a small island in the midst of the ocean1 as in the interior of continents1 where the heating power of the surface is vastly greater4 ,they are extremely regular1 so that between the tropics1 according to the sagacious ,humboldt1 the time of the day may be known by the direction of the needle1 as well as by the height of the barometer4 ,but what is the cause of these variations8 ,this question is the most difficult of all physical problems1 and we shall only aim at indicating the causes which are yet perhaps too intricately involved to afford a positive numerical determination4 ,admitting the existence of two principal solid masses whose general direction is from south to north1 and that these masses are more susceptible of permeation by the ethereal fluid than the waters in which they are suspended1 we have a general solution of the position of the magnetic poles1 and of the isogonic1 isoclinic1 and isodynamic lines4 ,considering1 too1 that the southern poles of these masses are the points of ingress1 and the northern poles the points of egress1 it is easily understood that the ethereal medium having the temperature of space1 will cause the southern hemisphere to be colder than the northern1 and also that the magnetic poles will be the poles of maximum cold1 and the centres respected by the isothermal and isogeothermal lines4 ,the general direction of the magnetism of the earth may be considered as the controlling influence1 therefore1 in determining the position of the magnetic needle2 but there are other causes which1 to some extent1 will modify the result4 ,that half of the globe turned away from the sun will partake of the density of the ether at that distance1 which is greater than on the side next the sun2 the magnetic intensity ought1 therefore1 to be greater in the night than in the day4 ,the poles of the great terrestrial magnets1 or even the position of a magnetic needle on the surface1 are continually placed by the earth's rotation in a different relation to the axes of the terral vortex1 and the tangential current1 which is continually circulating around the globe1 has its inclination to a given meridian in a perpetual state of change4 ,if we conceive that there is a tendency to force the needle at right angles to this current1 we shall have an influence which varies during the day1 during the year1 and during the time occupied by a complete revolution of the node4 ,the principal effect1 however1 of the horary variation of the needle is due to the radial stream of the sun1 which not only penetrates the atmosphere1 but also the solid crust of the earth4 ,its principal influence is1 however1 an indirect influence1 as we shall endeavor to explain4 ,no fact in the science of electro-magnetism is1 perhaps1 better established than the disposition of an ethereal current to place itself at right angles to the magnetic meridian1 and conversely1 when the current is not free to move1 to place the needle at right angles to the current4 ,now1 the terrestrial magnet or magnets1 may be considered to be surrounded by a body of ether in rotation1 which1 in the earth1 on its surface1 and for some distance from the surface1 is made to conform to the general rule1 that is1 to circulate at right angles to the magnetic meridian4 ,outside this again1 the ether more and more conforms to the position of the axis of the vortex1 and this position varying1 it must exert some influence on the surface currents1 and1 therefore1 change in some degree the position of the magnetic meridian4 ,the radial stream comes from the sun in parallel lines1 and strikes the globe and its superficial ethereal envelope just as we have shown its action on the atmosphere2 but in this last case the magnetic equator is not a great circle1 neither can we suppose its effects to be an accumulation of a fluid which is imponderable at points #ij from the plane passing through the centre of the earth and sun1 and coincident with the plane of the central meridian1 and a depressing effect on that meridian4 ,its precise influence must be1 from the nature of the cause1 to deflect the circular current towards the poles1 in places less than #ij from the meridian1 and a contrary effect must be produced in places greater than #ij from the meridian4 ,let us assume1 for argument's sake1 that the magnetic poles of the earth correspond to the poles of rotation1 the parallels of latitude will1 therefore1 represent the ethereal currents circulating around the globe4 ,now1 at sunrise1 the radial stream of the solar vortex is tangential to the surface1 and1 therefore1 can produce no change in these currents4 ,as the sun ascends say about #h or #i ,a4,m41 the radial stream striking only the surface of the earth perpendicularly in that place where the sun is vertical 7which we will suppose at the equator71 streams off on every side1 as the meridians do from the pole1 and the circles of latitude 7that is the ethereal currents7 being parallel to the equator1 they are met by the radial stream obliquely1 and deflected towards either pole4 ,by this deflection they are no longer at right angles to the meridians4 ,but1 from the principle of reaction above noticed1 the magnetic meridians will place themselves at right angles to the current1 or1 in other words1 the magnetic pole will change its position on the surface of the earth with respect to that particular place4 ,but1 in other parts of the world1 the meridians are in opposite phases at the same instant of absolute time2 therefore1 the magnetic poles are not points1 but wide areas enclosing the magnetic poles of all the countries under the sun4 ,as this conforms to observation1 it is worthy our especial attention1 and may be understood by the subjoined figure1 in which the oblique curves represent the course of the tangential current in the different positions of the sun1 the parallel lines representing the solar radial stream4 ,illustration3 ,fig4 #bd ,as the sun gains altitude the action of the radial stream is at a greater and greater angle to the circular currents1 and attains its maximum at noon1 still acting1 however1 after noon2 but seeing that the circular current possesses a force of re-action1 that is1 that the magnetism of the earth is ever striving to bring these currents to their natural direction1 an hour or two after noon1 the currents tend again to the equator1 and the maximum deflection is passed1 and finally ceases a few hours after sunset4 ,now let us attend to what is going on on the opposite side of the world4 ,the radial stream passing over the polar regions1 now produces a contrary effect2 the ethereal atmosphere of the great magnet is accumulated on the farthest side from the sun1 by the action of the radial stream passing over the polar region1 the parallel currents are now bent towards the equator1 being at a maximum in places where it is an hour or two past midnight4 ,before they were concave to the equator1 and now they are convex2 the magnetic meridian is therefore deflected the contrary way to what it was in the day time1 by the same principle of reaction4 ,after the maximum1 say at #d ,a4,m41 the deflection gradually ceases1 and the magnetic meridian returns to its mean position at #h or #i ,a4,m4 ,these times1 however1 of maximum and minimum1 must vary with the time of the year1 or with the declination of the sun1 with the position of the moon in her orbit1 with the perigee of the orbit1 and with the place of the ascending node2 there are also minor influences which have an effect1 which present instrumental means cannot render appreciable4 ,what says observation8 ,the needle declines from its mean position in the whole northern hemisphere to the westward1 from about #h4cj ,a4,m41 until #a4cj ,p4,m42 it then gradually returns to its mean position by #aj ,a4,m4 ,after #aj ,p4,m41 it passes over to the eastward1 and attains its maximum deflection about three or four hours after midnight1 and is found again at its mean position about #i ,a4,m4 ,now1 this is precisely the direction of the deviation of the magnetic meridian1 the needle therefore only follows the meridian1 or still continues to point to the temporary magnetic pole4 ,and although we have assumed1 for the sake of simplicity1 that the mean magnetic pole corresponds to the pole of rotation2 in truth there are two magnetic poles1 neither of which correspond2 yet still the general effect will be the same1 although the numerical verification will be rendered more difficult4 ,in the southern hemisphere the effect is the reverse1 7this southern hemisphere1 however1 must be considered separated from the northern by the magnetic equator1 and not by the geographical one17 the needle declines to the eastward in the morning1 and goes through the same changes1 substituting east for west1 and west for east4 ,does observation decide this to be to be a fact also8 ,most decidedly it does2 and this alone may be considered a positive demonstration1 that the theory which explains it is true4 ,the contrary deflection of the needle in the northern and southern hemisphere may be formally proclaimed as utterly beyond the reach of the common theory of magnetism to explain4 ,this difficulty arises from considering the needle as the disturbed body instead of the earth2 and also from the fact that the effect of solar heat must be common to needles in both hemispheres1 and act upon similar poles1 and consequently the deflection must be in the same direction4 ,but a still more capital feature is presented by the discovery of ,colonel ,sabine1 that the deflection is in contrary directions at the ,cape of ,good ,hope1 at the epoch of the two equinoxes4 ,this arises from the great angle made by the magnetic meridian at this place1 with the terrestrial meridian--the variation being by ,barlow's tables1 #cj to the westward4 ,the sun varies in declination #dg throughout the year4 ,at the southern solstice1 therefore the radial stream strikes the circular current on the southern side1 and deflects it towards the equator1 rendering the declination to the westward in the morning2 but at the northern solstice the radial stream strikes the current on its northern side1 and the deflection is eastward in the morning4 ,and the vicinity of the ,cape of ,good ,hope is1 perhaps1 the only part of the world where this anomaly will obtain2 as it is necessary not only that the declination shall be considerable1 but also that the latitude shall not be very great4 ,observation also determines that the amount of the horary variation increases with the latitude4 ,near the equator1 according to ,humboldt1 it scarcely amounts to three or four minutes1 whilst it is from thirteen to fourteen minutes in the middle of ,europe4 ,the theory explains this also2 for as the circles recede from the equator1 the angles made by their planes with the direction of the radial stream increases1 and hence the force of deflection is greater1 and the effect is proportioned to the cause4 ,we have also a satisfactory explanation of the fact that there has not yet been discovered a line of no variation of horary declination as we might reasonably anticipate from the fact that the declinations are in contrary directions in the northern and southern hemisphere4 ,this is owing to the ever-varying declination of the sun4 ,there would be such a line1 no doubt1 if the axis of the earth were perpendicular to the plane of the orbit1 and the magnetic pole coincided with the pole of rotation3 for then the equator would be such a line4 ,,magnetic ,,storms4 ,but there are also irregular fluctuations in the direction of the magnetic needle4 ,these depend on the moon1 and are caused by the passage of the vortices over or near to the place of observation4 ,the action of these vortices is proved to be of variable force1 whether arising from atmospheric conditions1 or due to an increased activity of the ethereal medium throughout the whole system1 is at present immaterial4 ,they do vary1 and sometimes the passage of a vortex will deflect the needle a whole degree4 ,at other times1 there are magnetic storms extending over a great part of the earth's surface2 but there is reason to suppose1 that the extent of these storms has been over estimated4 ,thus1 on the #beth of ,september1 #ahda1 a magnetic storm was observed in ,toronto1 and at the same time there was one felt at the ,cape of ,good ,hope4 ,there is no great mystery in this4 ,if we suppose the axis of the central vortex1 for instance1 to have passed ,toronto in latitude #dc #cc north1 in ordinary positions of the moon1 in her orbit1 the southern portion of the axis would be in #cc or #cd south latitude1 and consequently would have passed near the ,cape of ,good ,hope on the same night4 ,now1 we certainly could not expect the northern portion of the vortex to be intensely active1 without the southern portion being in the same state of activity4 ,that this is the true explanation is proved by magnetic storms in the same hemisphere being comparatively limited in extent2 as1 according to ,gauss and ,weber1 magnetic storms which were simultaneously felt from ,sicily to ,upsala1 did not extend from ,upsala to ,alten4 ,still it would not be wonderful if they were felt over a vast area of thousands of miles as a consequence of great disturbance in the elasticity of the ether in the terral vortex2 as the solid earth must be permeable to all its motions1 and thus be explicable on the general principles we have advanced4 ,but besides these variations which we have mentioned1 there are changes steadily going on1 by which the isodynamic1 isogonic and isoclinic lines are permanently displaced on the surface of our planet4 ,these must be attributed to changes of temperature in the interior of the globe1 and to the direction in the progress of subterranean fires1 which it may also be expected will change the isogeothermal lines4 ,but there are changes1 which although of long period1 are yet periodic1 one of which is obviously due to the revolution of the lunar nodes in eighteen and a half years1 and the revolution of the apogee in nine years4 ,the first is continually changing the obliquity of the axis of the vortex1 and they both tend to limit the vortices in their extreme latitudes2 but the planet ,jupiter has an indirect influence1 which is probably equal1 if not greater1 than the action of the moon1 in changing the magnetic declination4 ,from the investigations of ,lamont1 it would appear1 that the period of the variations of magnetic declination is about #aj years1 while1 more recently1 ,r4 ,wolfe has suggested the connection between this variation and the solar spots1 and assigns a period of #aa4aa years1 and remarks1 that it corresponds more exactly with the variations in magnetic declination than the period of #aj years established by ,lamont4 ,the magnetic variations accompany the solar spots1 not only in their regular changes1 but even in their minor irregularities3 this latter fact is itself sufficient to prove definitely the important relations between them4#bh ,as the planet ,jupiter exerts the greatest influence on the sun1 in forcing the centre from the mechanical centre of the system1 the longitude of the sun will in a great measure depend on the position of this planet2 and1 in consequence1 the sun will generally revolve around this centre in a period nearly equal to the period of ,jupiter4 ,the sidereal period of ,jupiter is about twelve years1 but the action of the other planets tend to shorten this period 7at least1 that has been the effect for the last twenty or thirty years71 and bring it nearly to the period assigned by ,m4 ,wolfe to the variations in the magnetic declinations4 ,as this has its influence on the radial stream1 and the radial stream on the declination1 we see at once the connection between them4 ,when we come to a consideration of the solar spots1 we shall exhibit this influence more fully4 ,,aurora ,,borealis4 ,let us now examine another phenomenon4 ,the ,aurora ,borealis has been generally considered to be in some way connected with the magnetism of the earth1 and with the position of the magnetic pole4 ,it is certain that the appearance of this meteor does affect the needle in a way not to be mistaken1 and 7although not invariably7 the vertex of the luminous arch will usually conform to the magnetic meridian4 ,yet 7and this is worthy of attention71 the observations made in the ,north ,polar ,expeditions#bi appear to prove1 that in the immediate vicinity of the magnetic pole the development of light is not in the least degree more intense or frequent than at some distance from it4 ,in fact1 as the ,american magnetic pole is1 as stated1 in latitude #gc1 the central vortex will seldom reach so high1 and1 consequently1 the aurora ought at such times to be more frequent in a lower latitude4 ,in a late work by ,m4 de la ,rive1 this gentleman expresses the opinion1 that the cause of the aurora is not due to a radiation of polar magnetism1 but to a purely electrical action4#cj ,his explanation1 however1 is not so satisfactory as his opinion4 ,now1 we have examined numerous cases of auroral displays1 and never yet found one which could not be legitimately referred to the action of ethereal vortices4 ,generally1 the aurora will not be visible1 when the upper surface of the atmosphere of that latitude in which the vortex is known to be 7reckoning in the direction of the magnetic meridian7 is below the horizon1 which shows that the brightest portion is in the atmosphere4 ,in latitude #da even1 it may show itself when the vortex is three days north1 more frequently when one or two days north2 but when the vortex passes centrally1 or south1 it rarely is seen1 and this is the only difficulty in explaining it by the theory4 ,but1 when we reflect that the ether shoots out in straight lines1 and at an angle corresponding to the magnetic dip1 we are at no loss to perceive the reason of this4 ,if each minute line composing the light were seen endwise1 it would be invisible2 if there were millions such in the same position1 they could add nothing to the general effect2 but1 when viewed sideways1 the case would be different1 there would be a continued reduplication of ray upon ray1 until in the range of some hundreds of miles an effect might be produced amounting to any degree of intensity on record4 ,now1 this is the case when the aurora is immediately overhead1 it will be invisible to those below1 but may be seen by persons a hundred miles south2 so1 also1 when it is to the south1 it is too oblique to the line of vision to be seen1 especially as all the rays to the northward of the observer can contribute nothing to increase the effect4 ,that it is of the nature of rays very much diffused1 can hardly be doubted2 and1 therefore1 if only of a few miles in depth1 its impressions are too faint to be sensible4 ,by referring to the record of the weather in the second section of this work1 an auroral display will be found on ,july #abth1 the central vortex having passed a little to the northward the same evening1 and the next day passing south descending4 ,on that occasion the author saw an inclined column1 in profile1 due east1 and between himself and a line of bluffs and timber1 about eight miles distant2 ,and1 he has not any doubt that the mass of rays began where he stood4 ,as in a shower1 every drop1 passing through a conical surface1 whose axis passes through the sun and through the eye1 contributes to form the apparently distant rainbow4 ,the altitude of this meteor has been much exaggerated1 especially of those rings or luminous arches1 which are often detached completely from the luminous bank4 ,on the #bdth of ,may1 a bright aurora was visible at ,ottawa1 but the author's attention was engrossed by the most brilliant arch of light he had ever seen4 ,it was all the time south of the zenith1 and had no visible connection with the aurora north4 ,at #i hours1 #ei minutes1 #cj seconds mean solar time1 ,arcturus was in the exact centre of the band1 at which time it was very bright1 and full #g wide4 ,at the same time1 ,prof4 ,g4,w4 ,wheeler observed the aurora in ,perryville1 in the ,state of ,missouri1 only #a of longitude to the westward1 but did not see the arch4#ca ,the difference of latitude between the two places being #c #cj1 and the weather1 as he states1 clear and still1 there is only one reason why he did not see the arch3 it must have been too low1 and had become merged in the bank of light4 ,at the time mentioned1 the altitude of ,arcturus was #fh #cj1 and1 as ,prof4 ,wheeler assigns only #aj as the altitude of the bank1 the maximum elevation of the arch1 on the supposition of its composing a part of the bank1 was #dc miles4 ,at ,perryville1 the bank and streamers had disappeared at #aj o'clock4 ,at ,ottawa1 the arch or bow disappeared at #aj h4 #e m41 differing only the fraction of a minute from the time at ,perryville2 but1 the bank was still visible1 but low and faint1 the greatest altitude having been over #cj4 ,to show the rapid fluctuations in width and position of this bow1 we will add a few of the minutes taken at the time with great care1 in hopes some other observer had been equally precise4 ,when first seen1 there were three luminous patches1 or elongated clouds of light2 one in ,leo1 one in ,bootes1 and another in ,ophinchus1 all in line4 ,this was about #i;h4 #aem4 ,the times following are correct to #cj seconds3 #i;h4 #dbm4 #cjs4 ,bow complete2 south edge #b north of ,arcturus4 #i #de #cj ,northern edge diffuse south2 edge bright1 and well defined2 #aj wide in zenith2 north edge on ,alphacca4 #i #dg #cj ,south edge #e north of ,arcturus2 north edge close to ,cor4 ,caroli4 #i #ec #cj ,eastern half composed of four detached bands shingling over each other4 #eh #cj ,arcturus on south2 bow narrower4 #i #ei #cj ,arcturus in the middle of the band2 very bright and regular in outline1 and widest at the zenith4 #aj #j #cj ,arcturus on northern edge2 north side better defined than the southern4 #aj #b #j ,arcturus #a north2 very bright4 #aj #b #cj ,gamma and ,delta ,leonis1 northern edge4 #aj #c ,regulus on southern age2 getting faint4 #aj #e ,fast fading away4 #aj #e #cj ,scarcely visible2 bank in north faint4 ,this aurora was due to the inner vortex ascending1 whose period was at this time #bh days4 ,there are several circumstances to be observed in this case4 ,the bow brightened and faded simultaneously with the aurora1 and respected the vertex of the auroral bank1 being apparently concentric with it4 ,the bow1 therefore1 depends on the same cause1 but differs from the aurora in being limited to the surface of the atmosphere in which the vortex has produced a wave to the southward of its central path1 as may be understood by inspecting ,fig4 #b1 ,sec4 #a1--the figure representing the polar current of the central vortex4 ,on the #bith of ,may1 #ahdj1cb the author saw a similar phenomenon1 at the same time of night1 and passing over the same stars southward until it reached within #e of ,jupiter and ,saturn1 to which it was parallel4 ,this atmospheric wave offers a greater resistance to the passage of the ether3 hence the light4 ,on this account it is1 also1 that when the passage of a vortex is attended by an auroral display there will be no thunder-storm4 ,there may be an increase of wind2 but the atmosphere at such times is too dry to make a violent storm1 and there is a silent restoration of the equilibrium1 by the ether passing through the dry atmosphere1 without meeting any condensable vapor1 and becoming luminous on account of the greater resistance of the air when unmixed with vapor4 ,we thus see also the connection between the aurora and the linear cirri1 and we have a triumphant explanation of the fact1 that when the observer is north of the northern limit of the vortices1 he sees the aurora to the south and not to the north2 for1 to see it to the northward1 he would have to see it in the same latitude as it appears in the south1 and1 consequently1 have to see across twice the complement of the latitude4 ,we thus see1 also1 why the temperature falls after an aurora2 for1 the passage of electricity in any shape1 must have this effect on account of the great specific caloric of this fluid4 ,we see1 also1 why the aurora should be more frequent where the magnetic intensity is greatest and be consequently invisible at the equator1 and why the magnetic needle is so sensibly affected at the time of its occurrence4 ,we may1 perhaps1 here be allowed to allude to another phenomenon connected with terrestrial magnetism and electricity4 ,,earthquakes4 ,the awful and destructive concussions which sometimes are produced at great depths beneath the surface of the soil1 would seem to indicate that no force but that of electricity is adequate to account for the almost instantaneous desolation of wide tracts of the earth's surface4 ,but we do not mean to say that the action of the terral vortices1 combined with the internal conditions of our planet1 is the only cause2 although it is far from improbable that the same activity of the ether1 which generates through these vortices1 the full fury of the hurricane in the tropics1 may be simultaneously accompanied by a subterranean storm4 ,and physicists are too rash to reject the evidence on which the connection of the phenomena rests4 ,in the extract given by ,colonel ,reid1 in his ,law of ,storms1 from ,sir ,george ,rodney's official report of the great hurricane of #aghj1 it is stated1 that1 ,nothing but an earthquake could have occasioned the foundations of the strongest buildings to be rent2 and ,i am convinced that the violence of the wind must have prevented the inhabitants from feeling the earthquake which certainly attended the storm4#cc ,again1 in the ,savannah-la-,mar hurricane1 which occurred the same year and month1 the ,annual ,register1 published at ,jamaica1 states1 that at the same time1 a smart shock of an earthquake was felt4 ,the general serenity of equatorial regions is due to the fact that they are beyond the limit of the vortices1 as in ,peru1 where neither rain nor lightning nor storm is ever seen4 ,thunder and rain1 without storms1 however1 are common in other tropical countries1 also out of the reach of the vortices4 ,but even in those parts1 7as the ,antilles17 lying in the track of these vortices1 the weather is not as frequently disturbed as in higher latitudes4 ,the storms of the ,antilles1 when they do occur1 however1 are fearful beyond any conception1 showing the presence of some cause1 auxiliary to the ordinary disturbing action of the vortices1 which1 when simultaneously occurring1 adds tremendously to their force4 ,that earthquakes are preceded sometimes by a peculiar haziness and oppressiveness1 similar to that which sometimes precedes a storm1 is a current opinion in volcanic countries4 ,and ,humboldt1 who doubts the connection1 has to confess that sudden changes of weather have succeeded violent earthquakes1 and that during the great earthquake of ,cumana1 he found the inclination of the needle was diminished #dh4 ,he also mentions the simultaneous occurrence of shocks1 from earthquakes1 and a clap of thunder1 and the agitation of the electrometer during the earthquake1 which lasted from the #b;d of ,april to the #agth of ,may1 #ahjh2 but concluding that these indications presented by clouds1 by modifications of atmospheric electricity1 or by calms1 cannot be regarded as generally or necessarily connected with earthquakes1 since in ,peru1 ,canada1 and ,italy1 earthquakes are observed1 along with the purest and clearest skies1 and with the freshest land and sea breezes4 ,but if no meteorological phenomena indicates the coming earthquake1 either on the morning of the shock or a few days previously1 the influence of certain periods of the year1 7the vernal and autumnal equinoxes17 the commencement of the rainy season in the tropics1 after long drought1 cannot be overlooked1 even though the genetic connection of meteorological processes1 with those going on in the interior of our globe1 is still enveloped in obscurity4#cd ,it is at the equinoxes that the earth changes her distances from the sun most rapidly1 and whether she is passing from her perihelion or from her aphelion1 the density of the ether externally is changing in the subduplicate ratio of these distances and consequently at these times there will be the greatest disturbance of the electric equilibrium4 ,how far our views of the internal structure of our globe1 7considered along a diameter as a solid crust1 then a fused mass separated from the lower ocean by another solid crust1 and separated from a similar arrangement on the opposite side by an interposed mass of water1 perhaps also possessing a solid nucleus17 may affect this question1 is difficult to say2 but that the agent is electric1 appears highly probable2 and very recently it has been discovered1 by ,m4 ,ratio ,menton1 that a piece of iron1 suspended by attraction to a magnet1 will fall on the approach of an earthquake2 thus indicating that the power of the magnet is temporarily weakened by the action of some disturbing force4 ,,footnotes3 #bb ,hum4 ,cosmos1 art ,aerolites4 #bc ,we shall in all cases use this abbreviation for the extremely awkward word zodiacal4 #bd ,it is here assumed1 that all the vortices are at their apogee at the same time1 and1 consequently1 they lie in different longitudes1 but the central being between1 its position is taken for the average position of the three4 #be ,it is far from improbable that the effect produced in one zone of climate1 may be reversed in another1 from the nature of the cause4 #bf ,that the #aath1 #abth1 and #acth of ,may should recede #b in temperature as determined by ,mdler from observations of #hf years1 at a time when the power of the sun so rapidly augments1 is strongly confirmatory of the theory4 ,see ,cosmos1 p4 #aba4 #bg ,plucker first discovered that a plate of tourmaline suspended with its axis vertical1 set axial4 #bh ,silliman's ,journal for ,march and ,april1 #ahec4 #bi ,humboldt1 ,cosmos p4 #aic1 ,london ed4 #cj ,see ,silliman's ,journal for ,september1 #ahec4 #ca ,see ,silliman's ,journal for ,september1 #ahec4 #cb ,this was the central vortex ascending4 #cc ,reid's ,law of ,storms1 p4 #cej4 #cd ,humboldt1 ,cosmos1 p4 #bjc4 ,,section ,,fourth4 ,,the ,,solar ,,spots4 ,we have yet many phenomena to investigate by the aid of the theory1 and we will develop them in that order which will best exhibit their mutual dependence4 ,the solar spots have long troubled astronomers1 and to this day no satisfactory solution of the question has been proposed2 but we shall not examine theories4 ,it is sufficient that we can explain them on the same general principles that we have applied to terrestrial phenomena4 ,there can be but little doubt about the existence of a solar atmosphere1 and1 reasoning from analogy1 the constituent elements of the sun must partake of the nature of other planetary matter4 ,that there are bodies in our system possessing the same elements as our earth1 is proved by the composition of meteoric masses1 which1 whether they are independent bodies of the system1 or fragments of an exploded planet1 or projected from lunar volcanoes1 is of little consequence2 they show that the same elements are distributed to other bodies of the system1 although not necessarily in the same proportions4 ,the gaseous matter of the sun's atmosphere may1 therefore1 be safely considered as vapors condensable by cold1 and the formation of vortices over the surface of this atmosphere1 brings down the ether1 and causes it to intermingle with this atmosphere4 ,but1 from the immensely rapid motion of the polar current of the solar vortex1 this ether may be considered to enter the atmosphere of the sun with the temperature of space4 ,sir ,john ,herschel1 in commenting on the theory of ,mr4 ,redfield before the ,british ,association1 convened at ,newcastle in #ahch1ce suggested an analogy to terrestrial hurricanes1 from a suspected rotation and progressive motion in these spots4 ,from their rapid formation1 change of shape1 and diameter1 this view is allowable1 and1 taken in conjunction with the action of the ethereal currents1 will account for all the phenomena4 ,the nucleus of the spot is dense1 like the nucleus of a storm on the earth1 and surrounded by a penumbon precisely as our storms are fringed with lighter clouds1 permitting the light of the sun to penetrate4 ,and1 it has been observed1 that these spots seem to follow one another in lines on the same parallel of solar latitude 7or nearly the same71 exactly as we have determined the action of the vortices on the surface of the earth from observation4 ,these spots are never found in very high latitudes--not much above #cj from the solar equator4 ,if we consider this equator to be but slightly inclined to the plane of the vortex1 this latitude would be the general position of the lateral solar vortices1 and1 in fact1 be confined principally to a belt on each side of the equator1 between #ae and #cj of solar latitude1 rather than at the equator itself4 ,this1 it is needless to say1 is actually the case4 ,but1 a more capital feature still has been more recently brought to light by observation1 although previously familiar to the author1 who1 in endeavoring to verify the theory1 seriously injured his sight1 by observing with inadequate instrumental means4 ,this is the periodicity of the spots4 ,we have already observed1 that there is reason to suppose that the action of the inner vortex of the earth is probably greater than that of the outer vortex1 on account of the conflicting currents by which it is caused4 ,and the full development of this vortex requires1 that the central vortex or mechanical axis of the system shall be nearly tangential to the surface4 ,in this position1 the action of the central vortex is itself at a maximum2 and1 when the planets of the system are so arranged as to produce this result1 we may expect the greatest number of spots4 ,if the axis or central vortex approaches to coincidence with the axis of the sun1 the lateral vortices disappear1 and the central vortex being then perpendicular to the surface1 is rendered ineffective4 ,under these circumstances1 there will be no spots on the sun's disc4 ,when1 on the other hand1 all the planets conspire at the same side to force the sun out from the mechanical centre of the system1 the surface is too distant to be acted on by the central vortex1 and the lateral vortices are also thrown clear of the sun's surface1 on account of the greater velocity of the parts of the vortex1 in sweeping past the body of the sun4 ,in this case1 there will be but few spots4 ,the case in which the axis of the vortex coincides with the axis of the sun1 is much more transient than the first position1 and hence1 although the interval between the maxima will be tolerably uniform1 there will be an irregularity between a particular maximum1 and the preceding and subsequent minimum4 ,the following table exhibits the solar spots1 as determined by ,schwabe1 of ,dessau3 ,year of observation4 ,groups of spots observed4 ,number of days4 #ahbf #aah #bgg #ahbg #afa #bgc #ahbh #bbe #bhb #ahbi #aii #bdd #ahcj #aij #bag #ahca #adi #bci #ahcb #hd #bgj #ahcc #cc #bfg #ahcd #ea #bgc #ahce #agc #bdd #ahcf #bgb #bjj #ahcg #ccc #afh #ahch #bhb #bjb #ahci #afb #bje #ahdj #aeb #bfc #ahda #ajb #bhc #ahdb #fh #cjg #ahdc #cd #cbd ,previous to the publication of this table1 the author had inferred the necessity of admitting the existence of another planet in the solar system1 from the phenomenon of which we are speaking4 ,he found a sufficient correspondence between the minima of spots to confirm the explanation given by the theory1 and this was still more confirmed by the more exact determination of ,schwabe2 yet there was a little discrepancy in the synchronous values of the ordinates1 when the theory was graphically compared with the table4 ,previous to the discovery of ,neptune1 the theory corresponded much better than afterwards1 and as no doubt could be entertained that the anomalous movements of ,uranus were caused by an exterior planet1 he adopted the notion that there were two planets exterior to ,uranus1 whose positions at the time were such1 that their mechanical affects on the system were about equal and contrary4 ,consequently1 when ,neptune became known1 the existence of another planet seemed a conclusion necessary to adopt4 ,accordingly1 he calculated the heliocentric longitudes and true anomalies1 and the values of radius vector1 for all the planets during the present century1 but not having any planetary tables1 he contented himself with computing for the nearest degree of true anomaly1 and the nearest thousand miles of distance4 ,then by a composition and resolution of all the forces1 he deduced the radius vector of the sun1 and the longitude of his centre1 for each past year of the century4 ,it was in view of a little outstanding discrepancy in the times of the minima1 as determined by theory and observation1 that he was induced to consider as almost certain the existence of a theoretical planet1 whose longitude1 in #ahbh1 was about #ij1 and whose period is from the theory about double that of ,neptune4 ,and for convenience of computation and reference1 he has been in the habit of symbolizing it by a volcano4 ,the following table of the radii vectores of the sun1 and the longitude of his centre1 for the years designated in ,schwabe's table1 is calculated from the following data for each planet3 ,long4 of ,planets4 ,masses4 ,mean distances4 ,eccentricities4 ,perihelion4 #a_/afdh #did4hjj4jjj #j4jdha #aa #a_/ccaj #ijg4afb4jjj #j4jefa #hi #a_/bcjjj #ahbd4bij4jjj #j4jaff #afg #a_/bjjjj #bhed4jjj4jjj #j4jjhh #j #a_/bhjjj #ddfd4jjj4jjj ,no4 of spots in ,dates4 ,rad4 vector4 ,sun's long4 ,ordinates4 ,schwabe's table4 ,jan4 #a1 #ahbf #ebh1jjj #cbj #hd #aah #ahbg #dhj1jjj #cci #cf #afa #ahbh #dcb1jjj #ceb - #ab ,max4 #bbe ,max4 #ahbi #cig1jjj #ch - #dg #aii #ahcj #heh1jjj #ga - #hf #aij #ahca #cbd1jjj #ajd - #abj #adi #ahcb #caa1jjj #add - #acc #hd #ahcc #cjj1jjj #ahc - #add ,min4 #cc ,min4 #ahcd #cjg1jjj #bbj - #acg #ea #ahce #cch1jjj #bfc - #ajf #agc #ahcf #chj1jjj #cjb - #ee #bgb #ahcg #dai1jjj #ccg #be ,max4 #ccc ,max4 #ahch #dhh1jjj #c #dd #bhb #ahci #fea1jjj #bi #ajg #afb #ahdj #fcb1jjj #ea #ahh #aeb #ahda #fhj1jjj #hj #bcf #ajb #ahdb #gcj1jjj #aje #bhf #fh #ahdc #afj1jjj #abh #cbb #cd ,min4 #ahdd #ahh1jjj #aeb #cci ,min4 #eb #ahde #ggb1jjj #agd #cbh #aad #ahdf #gbh1jjj #aif #bhd #aeg #ahdg #ffj1jjj #bah #baf #ahdh #efc1jjj #bdj #aai ,observed4 ,max4 #ahdi #ddg1jjj #bfa #c ,max4 #ahej #cji1jjj #bhc - #ace #ahea #agj1jjj #cbc - #bgd #aheb #ec1jjj #da - #cia ,min4 #ahec #afg1jjj #acc - #bgg #ahed #cae1jjj #afj - #abi #ahee #dge1jjj #ahc #ca ,max4 #ahef #faa1jjj #bjc #afg #aheg #gbj1jjj #bbe #bgf ,it is necessary to observe here1 that the values of the numbers in ,schwabe's table are the numbers for the whole year1 and1 therefore1 the #ast of ,july would have been a better date for the comparison2 but1 as the table was calculated before the author was cognizant of the fact1 and being somewhat tedious to calculate1 he has left it as it was1 viz41 for ,january #ast of each year4 ,hence1 the minimum for #ahdc appears as pertaining to #ahdd4 ,the number of spots ought to be inversely as the ordinates approximately--these last being derived from the ,radii ,vectores minus1 the semi-diameter of the sun #ddd1jjj miles4 ,in passing judgment on this relation1 it must also be borne in mind1 that the recognized masses of the planets cannot be the true masses1 if the theory be true4 ,both sun and planets are under-estimated1 yet1 as they are1 probably1 all to a certain degree proportionally undervalued1 it will not vitiate the above calculation much4 ,the spots being considered as solar storms1 they ought also to vary in number at different times of the year1 according to the longitude of the earth and sun1 and from their transient character1 and the slow rotation of the sun1 they ought1 ceteris paribus1 to be more numerous when the producing vortex is over a visible portion of the sun's surface4 ,the difficulty of reconciling the solar spots1 and their periodicity to any known principle of physics1 ought to produce a more tolerant spirit amongst the scientific for speculations even which may afford the slightest promise of a solution1 although emanating from the humblest inquirer after truth4 ,the hypothesis of an undiscovered planet1 exterior to ,neptune1 is of a nature to startle the cautions timidity of many2 but1 if the general theory be true1 this hypothesis becomes extremely probable4 ,we may not have located it exactly4 ,there may be even two such planets1 whose joint effect shall be equivalent to one in the position we have assigned4 ,there may even be a comet of great mass1 capable of producing an effect on the position of the sun's centre 7although it follows from the theory that comets have very little mass74 ,yet1 in view of all these suppositions1 there can be but little doubt that the solar spots are caused by the solar vortices1 and these last made effective on the sun by the positions of the great planets1 and1 therefore1 we have indicated a new method of determining the existence and position of all the planets exterior to ,neptune4 ,on the supposition that there is only one more in the system1 from its deduced distance and mass1 it will appear only as a star of the eleventh magnitude1 and1 consequently1 will only be recognizable by its motion1 which1 at the greatest1 will only be ten or eleven seconds per day4 ,,masses ,,of ,,the ,,sun ,,and ,,planets4 ,we have alluded to the fact of the radial stream of the sun necessarily diminishing the sun's power1 and1 consequently1 diminishing his apparent mass4 ,the radial stream of all the planets will do the same1 so that each planet whose mass is derived from the periodic times of the satellites1 will also appear too small4 ,but1 there is also a great probability that some modification must be made in the wording of the ,newtonian law4 ,the experiments of ,newton on the pendulum1 with every variety of substance1 was sufficient justification to entitle him to infer1 that inertia was as the weight of matter universally4 ,but1 there was one condition which could not be observed in experimenting on these substances1 viz41 the difference of temperature existing between the interior and surface of a planet4 ,we have already expressed the idea1 that the cause of gravity has no such mysterious origin as to transcend the power of man to determine it4 ,but that1 on the contrary1 we are taught by every analogy around us1 as well as by divine precept1 to use the visible things of creation as stepping stones to the attainment of what is not so apparent4 ,that we have the volume of nature spread out in tempting characters1 inviting us to read1 and1 assuredly1 it is not so spread in mockery of man's limited powers4 ,as science advances1 strange things1 it is true1 are brought to light1 but the more rational the queries we propound1 in every case the more satisfactory are the answers4 ,it is only when man consults the oracle in irrational terms that the response is ambiguous4 ,alchemy1 with its unnatural transmutations1 has long since vanished before the increasing light4 ,why should not attraction also8 ,experience and experiment1 if men would only follow their indications1 are consistently enforcing the necessity of erasing these antiquated chimeras from the book of knowledge2 and inculcating the great truth1 that the physical universe owes all its endless variety to differences in the form1 size1 and density of planetary atoms in motion1 according to simple mechanical principles4 ,these1 combined with the existence of an all-pervading medium filling space1 between which and planetary matter no bond of union subsists1 other than that which arises from a continual interchange of motion1 are the materials from which the gems of nature are elaborated4 ,but1 simplicity of means is what philosophy has ever been reluctant to admit1 preferring rather the occult and obscure4 ,if action be equal to reaction1 and all nature be vibrating with motion1 these motions must necessarily interfere1 and some effect should be produced4 ,a body radiating its motion on every side into a physical medium1 produces waves4 ,these waves are a mechanical effect1 and the body parts with some of its motion in producing them2 but1 should another body be placed in juxtaposition1 having the same motion1 the opposing waves neutralize each other1 and the bodies lose no motion from their contiguous sides1 and1 therefore1 the reaction from the opposite sides acts as a propelling power1 and the bodies approach1 or tend to approach each other4 ,if one body be of double the inertia1 it moves only half as far as the first2 then1 seeing that this atomic motion is radiated1 the law of force must be directly as the mass1 and inversely as the squares of the distances4 ,there may be other atomic vibrations besides those which we call light1 heat1 and chemical action1 yet the joint effect of all is infinitesimally small1 when we disregard the united attraction of all the atoms of which the earth is composed4 ,the attraction of the whole earth at the surface causes bodies to fall #af feet the first second of time2 but1 if two spheres of ice of one foot diameter1 were placed in an infinite space1 uninfluenced by other matter1 and only #af feet apart1 they would require nearly #aj1jjj years to fall together by virtue of their mutual attraction4 ,our conceptions1 or1 rather1 our misconceptions1 concerning the force of gravity1 arises from our forgetting that every pound of matter on the earth contributes its share of the force which1 in the aggregate1 is so powerful4 ,hence1 the cause we have suggested1 is fully adequate to account for the phenomena4 ,whether the harmony of vibrations between two bodies may not have an influence in determining the amount of interference1 and1 consequently1 produce some difference between the gravitating mass and its inertia1 is a question which1 no doubt1 will ultimately be solved2 but this harmony of vibrations must depend1 in some degree1 on the atomic weight1 temperature1 and intensity of atomic motion4 ,that a part of the mass of the earth is latent may be inferred from certain considerations3 #ast1 from the discrepancies existing in the results obtained for the earth's compression by the pendulum and by actual measurement2 and1 #b;d1 from the irregularity of that compression in particular latitudes and longitudes4 ,the same may also be deduced from the different values of the moon's mass as derived from different phenomena1 dependent on the law of gravitation4 ,astronomers have hitherto covered themselves with the very convenient shield of errors of observation2 but1 the perfection of modern instruments now demand a better account of all outstanding discrepancies4 ,the world requires it of them4 ,the mass of the moon comes out much greater by our theory than nutation gives4 ,the mass deduced from the theory is only dependent on the relative inerti of the earth and moon4 ,that given by nutation depends on gravity4 ,if1 then1 a part of the mass be latent1 nutation will give too small a value4 ,but1 in addition to this1 we are justified in doubting the strict wording of the ,newtonian law1 deriving our authority from the very foundation stone of the ,newtonian theory4 ,it is well known that ,newton suspected that the moon was retained in her orbit by the same force which is usually called weight upon the surface1 sixteen years before the fact was confirmed1 by finding a correspondence in the fall of the moon and the fall of bodies on the earth4 ,usually1 in all elementary works1 this problem is considered accurately solved4 ,having formed a different idea of the mechanism of nature1 this fact presented itself as a barrier beyond which it was impossible to pass1 until suspicions1 derived from other sources1 induced the author to inquire3 ,whether the phenomenon did exactly accord with the theory8 ,we are aware that it is easy to place the moon at such a distance1 that the result shall strictly correspond with the fact2 but1 from the parallax1 as derived from observation 7and if this cannot be depended on certainly1 no magnitudes in astronomy can71 we find1 that the moon does not fall from the tangent of her orbit1 as much as the theory requires4 ,as this is of vital importance to the integrity of the theory we are advocating1 we have made the computation on ,newton's own data1 except such as were necessarily inaccurate at the time he wrote2 and we have done it arithmetically1 without logarithmic tables1 that1 if possible1 no error should creep in to vitiate the result4 ,we take the moon's elements from no less an authority than ,sir ,john ,herschel1 as well as the value of the earth's diameter4 ,mass of the moon #a_/hj ,mean distance in equatorial radii #ei4ifdce ,sidereal period in seconds #bcfjeia ,the vibrations of the pendulum give the force of gravity at the surface of the earth1 and it is found to vary in different latitudes4 ,the intensity in any place being as the squares of the number of vibrations in a given time4 ,this inequality depends on the centrifugal force of rotation1 and on the spheroidal figure of the earth due to that rotation4 ,at the equator the fall of a heavy body is found to be #af4jdebbc feet1 per second1 and in that latitude the squares of whose sine is 1 it is #af4jfig feet4 ,the effect in this last-named latitude is the same as if the earth were a perfect sphere4 ,this does not1 however1 express the whole force of gravity1 as the rotation of the earth causes a centrifugal tendency which is a maximum at the equator1 and there amounts to #a_/bhi of the whole gravitating force4 ,in other latitudes it is diminished in the ratio of the squares of the cosines of the latitude2 it therefore becomes #a_/dcd in that latitude the square of whose sine is 4 ,hence the fall per second becomes #af4ajfg feet for the true gravitating force of the earth1 or for that force which retains the moon in her orbit4 ,the moon's mean distance is #ei4ifdce equatorial radii of the earth1 which radius is1 according to ,sir ,john ,herschel1 #bj4ibc4gac feet4 ,her mean distance as derived from the parallax is not to be considered the radius vector of the orbit1 inasmuch as the earth also describes a small orbit around the common centre of gravity of the earth and moon2 neither is radius vector to be considered as her distance from this common centre2 for the attracting power is in the centre of the earth4 ,but the mean distance of the moon moving around a movable centre1 is to the same mean distance when the centre of attraction is fixed1 as the sum of the masses of the two bodies1 to the first of two mean proportionals between this sum and the largest of the two bodies inversely4 7,vid4 ,prin4 ,prop4 #fj ,lib4 ,prim47 ,the ratio of the masses being as above #hj to #a the mean proportional sought is #hj4fff and in this ratio must the moon's mean distance be diminished to get the force of gravity at the moon4 ,therefore as #ha is to #hj4fff1 so is #ei4ifdce to #ei4gafeg for the moon's distance in equatorial radii of the earth4 ,multiply this last by #bj4ibc1gac to bring the semi-diameter of the lunar orbit into feet #a4bdi4dib4cgc1 and this by #f4bhcahe1 the ratio of the circumference to the radius1 gives #g4hej4gia4gcf feet1 for the mean circumference of the lunar orbit4 ,further1 the mean sidereal period of the moon is #bcfjeia seconds and the #a_/bcfjeiath part of #g4hej4gia4gcf is the arc the moon describes in one second #ccbe4ggcha feet1 the square of which divided by the diameter of the orbit1 gives the fall of the moon from the tangent or versed size of that arc4 #aajfgga4cfhgffdd ---------------- #j4jjddbfajf feet4 #bdihihdgdf ,this fraction is1 however1 too small1 as the ablatitious action of the sun diminishes the attraction of the earth on the moon1 in the ratio of #agh #bi_/dj to #agg #bi_/dj4 ,so that we must increase the fall of the moon in the ratio of #gaa to #gae1 and hence the true fall of the moon from the tangent of her orbit becomes #j4jjdea feet per second4 ,we have found the fall of a body at the surface of the earth1 considered as a sphere1 #af4ajfg feet per second1 and the force of gravity diminishes as the squares of the distances increases4 ,the polar diameter of the earth is set down as #ghii4agj miles1 and the equatorial diameter #gibe4fdh miles2 therefore1 the mean diameter is #giaf4ahi miles4#cf ,so that1 reckoning in mean radii of the earth1 the moon's distance is #ei4ghgibe1 which squared1 is equal to #cegd4eieigehjefbe4 ,at one mean radius distance1 that is1 at the surface1 the force of gravity1 or fall per second1 is as above1 #af4ajfg feet4 ,divide this by the square of the distance1 it is #af4ajfg_/cegd4eieigehjefbe #j4jjdejeh feet for the force of gravity at the moon4 ,but1 from the preceding calculation1 it appears1 that the moon only falls #j4jjddeaj feet in a second1 showing a deficiency of #a_/hb;d part of the principal force that retains the moon in her orbit1 being more than double the whole disturbing power of the sun1 which is only #a_/aghth of the earth's gravity at the moon2 yet1 on this #a_/aghth depends the revolution of the lunar apogee and nodes1 and all those variations which clothe the lunar theory with such formidable difficulties4 ,the moon's mass cannot be less than #a_/hj1 and if we consider it greater1 as it no doubt is1 the results obtained will be still more discrepant4 ,much of this discrepancy is owing to the expulsive power of the radial stream of the terral vortex2 yet1 it may be suspected that the effect is too great to be attributed to this1 and1 for this reason1 we have suggested that the fused matter of the moon's centre may not gravitate with the same force as the exterior parts1 and thus contribute to increase the discrepancy4 ,as there must be a similar effect produced by the radial stream of every vortex1 the masses of all the planets will appear too small1 as derived from their gravitating force2 and the inertia of the sun will also be greater than his apparent mass2 and if1 in addition to this1 there be a portion of these masses latent1 we shall have an ample explanation of the connection between the planetary densities and distances4 ,we must therefore inquire what is the particular law of force which governs the radial stream of the solar vortex4 ,it will be necessary to enter into this question a little more in detail than our limits will justify2 but it is the resisting influence of the ether1 and its consequences1 which will appear to present a vulnerable point in the present theory1 and to be incompatible with the perfection of astronomical science4 ,,law ,,of ,,density ,,in ,,solar ,,vortex4 ,reverting to the dynamical principle1 that the product of every particle of matter in a fluid vortex1 moving around a given axis1 by its distance from the centre and angular velocity1 must ever be a constant quantity1 it follows that if the ethereal medium be uniformly dense1 the periodic times of the parts of the vortex will be directly as the distances from the centre or axis2 but the angular velocities being inversely as the times1 the absolute velocities will be equal at all distances from the centre4 ,newton1 in examining the doctrine of the ,cartesian vortices1 supposes the case of a globe in motion1 gradually communicating that motion to the surrounding fluid1 and finds that the periodic times will be in the duplicate ratio of the distances from the centre of the globe4 ,he and his successors have always assumed that it was impossible for the principle of gravity to be true1 and a ,cartesian plenum also2 consequently1 the question has not been fairly treated4 ,it is true that ,descartes sought to explain the motions of the planets1 by the mechanical action of a fluid vortex solely2 and to ,newton belongs the glorious honor of determining1 the existence of a centripetal force1 competent to explain these motions mathematically1 7but not physically17 and rashly rejected an intelligible principle for a miraculous virtue4 ,if our theory be true1 the visible creation depends on the existence of both working together in harmony1 and that a physical medium is absolutely necessary to the existence of gravitation4 ,if space be filled with a fluid medium1 analogy would teach us that it is in motion1 and that there must be inequalities in the direction and velocity of that motion1 and consequently there must be vortices4 ,and if we ascend into the history of the past1 we shall find ample testimony that the planetary matter now composing the members of the solar system1 was once one vast nebulous cloud of atoms1 partaking of the vorticose motion of the fluid involving them4 ,whether the gradual accumulation of these atoms round a central nucleus from the surrounding space1 and thus having their tangential motion of translation converted into vorticose motion1 first produced the vortex in the ether2 or whether the vortex had previously existed1 in consequence of conflicting currents in the ether1 and the scattered atoms of space were drawn into the vortex by the polar current1 thus forming a nucleus at the centre1 as a necessary result of the eddy which would obtain there1 is of little consequence4 ,the ultimate result would be the same4 ,a nucleus1 once formed1 would give rise to a central force1 tending more and more to counteract the centripulsive power of the radial stream2 and in consequence of this continually increasing central power1 the heaviest atoms would be best enabled to withstand the radial stream1 while the lighter atoms might be carried away to the outer boundaries of the vortex1 to congregate at leisure1 and1 after the lapse of a thousand years1 to again face the radial stream in a more condensed mass1 and to force a passage to the very centre of the vortex1 in an almost parabolic curve4 ,that space is filled with isolated atoms or planetary dust1 is rendered very probable by a fact discovered by ,struve1 that there is a gradual extinction in the light of the stars1 amounting to a loss of #a_/ajg of the whole1 in the distance which separates ,sirius from the sun4 ,according to ,struve1 this can be accounted for1 by admitting as very probable that space is filled with an ether1 capable of intercepting in some degree the light4 ,is it not as probable that this extinction is due to planetary dust1 scattered through the pure ether1 whose vibrations convey the light1--the material atoms of future worlds1--the debris of dilapidated comets8 ,does not the ,scripture teach the same thing1 in asserting that the heavens are not clean8 ,the theory of vortices has had many staunch supporters amongst those deeply versed in the science of the schools4 ,the ,bernoullis proposed several ingenious hypothesis1 to free the ,cartesian system from the objections urged against it1 viz43 that the velocities of the planets1 in accordance with the three great laws of ,kepler1 cannot be made to correspond with the motion of a fluid vortex2 but they1 and all others1 gave the vantage ground to the defenders of the ,newtonian philosophy1 by seeking to refer the principle of gravitation to conditions dependent on the density and vorticose motion of the ether4 ,when we admit that the ether is imponderable and yet material1 and planetary matter subject to the law of gravitation1 the objections urged against the theory of vortices become comparatively trivial1 and we shall not stop to refute them1 but proceed with the investigation1 and consider that the ether is the original source of the planetary motions and arrangements4 ,on the supposition that the ether is uniformly dense1 we have shown that the periodic times will be directly as the distances from the axis4 ,if the density be inversely as the distances1 the periodic times will be equal4 ,if the density be inversely as the square roots of the distances1 the times will be directly in the same ratio4 ,the celebrated ,j4 ,bernoulli assumed this last ratio2 but seeking the source of motion in the rotating central globe1 he was led into a hypothesis at variance with analogy4 ,the ellipticity of the orbit1 according to this view1 was caused by the planet oscillating about a mean position1--sinking first into the dense ether1--then1 on account of superior buoyancy1 rising into too light a medium4 ,even if no other objection could be urged to this view1 the difficulty of explaining why the ether should be denser near the sun1 would still remain4 ,we might make other suppositions2 for whatever ratio of the distances we assume for the density of the medium1 the periodic times will be compounded of those distances and the assumed ratio4 ,seeing1 therefore1 that the periodic times of the planets observe the direct ses-plicate ratio of the distances1 and that it is consonant to all analogy to suppose the contiguous parts of the vortex to have the same ratio1 we find that the density of the ethereal medium in the solar vortex1 is directly as the square roots of the distances from the axis4 ,against this view1 it may be urged that if the inertia of the medium is so small1 as is supposed1 and its elasticity so great1 there can be no condensation by centrifugal force of rotation4 ,it is true that when we say the ether is condensed by this force1 we speak incorrectly4 ,if in an infinite space of imponderable fluid a vortex is generated1 the central parts are rarefied1 and the exterior parts are unchanged4 ,but in all finite vortices there must be a limit1 outside of which the motion is null1 or perhaps contrary4 ,in this case there may be a cylindrical ring1 where the medium will be somewhat denser than outside4 ,just as in water1 every little vortex is surrounded by a circular wave1 visible by reflection4 ,as the density of the planet ,neptune appears1 from present indications1 to be a little denser than ,uranus1 and ,uranus is denser than ,saturn1 we may conceive that there is such a wave in the solar vortex1 near which rides this last magnificent planet1 whose ring would thus be an appropriate emblem of the peculiar position occupied by ,saturn4 ,this may be the case1 although the probability is1 that the density of ,saturn is much greater than it appears1 as we shall presently explain4 ,in order to show that there is nothing extravagant in the supposition of the density of the ether being directly as the square roots of the distances from the axis1 we will take a fluid whose law of density is known1 and calculate the effect of the centrifugal force1 considered as a compressing power4 ,let us assume our atmosphere to be #dg miles high1 and the compressing power of the earth's gravity to be #bhi times greater than the centrifugal force of the equator1 and the periodic time of rotation necessary to give a centrifugal force at the equator equal to the gravitating force to be #hc minutes4 ,now1 considering the gravitating force to be uniform1 from the surface of the earth upwards1 and knowing from observation that at #ah1jjj feet above the surface1 the density of the air is only 1 it follows1 7in accordance with the principle that the density is as the compressing force17 that at #dc miles high1 or #ah1jjj feet below the surface of the atmosphere1 the density is only #a_/hjjj part of the density at the surface of the earth4 ,let us take this density as being near the limit of expansion1 and conceive a hollow tube1 reaching from the sun to the orbit of ,neptune1 and that this end of the tube is closed1 and the end at the sun communicates with an inexhaustible reservoir of such an attenuated gas as composes the upper-layer of our atmosphere2 and further1 that the tube is infinitely strong to resist pressure1 without offering resistance to the passage of the air within the tube2 then we say1 that1 if the air within the tube be continually acted on by a force equal to the mean centrifugal force of the solar vortex1 reckoning from the sun to the orbit of ,neptune1 the density of the air at that extremity of the tube1 would be greater than the density of a fluid formed by the compression of the ocean into one single drop4 ,for the centrifugal force of the vortex at #b1cjj1jjj miles from the centre of the sun1 is equal to gravity at the surface of the earth1 and taking the mean centrifugal force of the whole vortex as one-millionth of this last force2 so that at #c1ejj1jjj miles from the surface of the sun1 the density of the air in the tube 7supposing it obstructed at that distance7 would be double the density of the attenuated air in the reservoir4 ,and the air at the extremity of the tube reaching to the orbit of ,neptune1 would be as much denser than the air we breathe1 as a number expressed by #bgc with #bci ciphers annexed1 is greater than unity4 ,this is on the supposition of infinite compressibility4 ,now1 in the solar vortex there is no physical barrier to oppose the passage of the ether from the centre to the circumference1 and the density of the ethereal ocean must be considered uniform1 except in the interior of the stellar vortices1 where it will be rarefied2 and the rarefaction will depend on the centrifugal force and the length of the axis of the vortex4 ,if this axis be very long1 and the centrifugal velocity very great1 the polar influx will not be sufficient1 and the central parts will be rarefied4 ,we see1 therefore1 no reason why the density of the ether may not be three times greater at ,saturn than at the earth1 or as the square roots of the distances directly4 ,,bodes' ,,law ,,of ,,planetary ,,distances4 ,thus1 in the solar vortex1 there will be two polar currents meeting at the sun1 and thence being deflected at right angles1 in planes parallel to the central plane of the vortex1 and strongest in that central plane4 ,the velocity of expansion must1 therefore1 diminish from the divergence of the radii1 as the distances increase2 but in advancing along these planes1 the ether of the vortex is continually getting more dense1 which operate by absorption or condensation on the radial stream2 so that the velocity is still more diminished1 and this in the ratio of the square roots of the distances directly4 ,by combining these two ratios1 we find that the velocity of the radial stream will be in the ses-plicate ratio of the distances inversely4 ,but the force of this stream is not as the velocity1 but as the square of the velocity4 ,the force of the radial stream is consequently as the cubes of the distances inversely1 from the axis of the vortex1 reckoned in the same plane4 ,if the ether1 however1 loses in velocity by the increasing density of the medium1 it becomes also more dense2 therefore the true force of the radial stream will be as its density and the square of its velocity1 or directly as the square roots of the distances1 and inversely as the cubes of the distances1 or as the #b4e power of the distances inversely4 ,if we consider the central plane of the vortex as coincident with the plane of the ecliptic1 and the planetary orbits1 also1 in the same plane2 and had the force of the radial stream been inversely as the square of the distances1 there could be no disturbance produced by the action of the radial stream4 ,it would only counteract the gravitation of the central body by a certain amount1 and would be exactly proportioned at all distances4 ,as it is1 there is an outstanding force as a disturbing force1 which is in the inverse ratio of the square roots of the distances from the sun2 and to this is1 no doubt1 owing1 in part1 the fact1 that the planetary distances are arranged in the inverse order of their densities4 ,suppose two planets to have the same diameter to be placed in the same orbit1 they will only be in equilibrium when their densities are equal4 ,if their densities are unequal1 the lighter planet will continually enlarge its orbit1 until the force of the radial stream becomes proportional to the planets' resisting energy4 ,this1 however1 is on the hypothesis that the planets are not permeable by the radial stream1 which1 perhaps1 is more consistent with analogy than with the reality4 ,and it is more probable that the mean atomic weight of a planet's elements tends more to fix the position of equilibrium for each4 ,under the law of gravity1 a planet may revolve at any distance from the sun1 but if we superadd a centripulsive force1 whose law is not that of gravity1 but yet in some inverse ratio of the distances1 and this force acts only superficially1 it would be possible to make up in volume what is wanted in density1 and a lighter planet might thus be found occupying the position of a dense planet4 ,so the planet ,jupiter1 respecting only his resisting surface1 is better able to withstand the force of the radial stream at the earth than the earth itself4 ,to understand this1 it is necessary to bear in mind1 that1 as far as planetary matter is concerned1 the earth would revolve in ,jupiter's orbit in the same periodic time as ,jupiter1 under the law of gravity3 but that1 in reality1 the whole of the gravitating force is not effective1 and that the equilibrium of a planet is due to a nice balance of interfering forces arising from the planet's physical peculiarities4 ,as in a refracting body1 the density of the ether may be considered inversely as the refraction1 and this as the atomic weight of the refracting material1 so1 also1 in a planet1 the density of the ether will be inversely in the same ratio of the density of the matter approximately4 ,hence1 the density of the ether within the planet ,jupiter is greater than that within the earth2 and1 on this ethereal matter1 the sun has no power to restrain it in its orbit1 so that the centrifugal momentum of ,jupiter would be relatively greater than the centrifugal momentum of the earth1 were it also in ,jupiter's orbit with the same periodic time4 ,hence1 to make an equilibrium1 the earth should revolve in a medium of less density1 that there may be the same proportion between the external ether1 and the ether within the earth1 as there is between the ether around ,jupiter and the ether within2 so that the centrifugal tendency of the dense ether at ,jupiter shall counteract the greater momentum of the dense ether within ,jupiter2 or1 that the lack of centrifugal momentum in the earth should be rendered equal to the centrifugal momentum of ,jupiter1 by the deficiency of the centrifugal momentum of the ether at the distance of the earth4 ,if then1 the diameters of all the planets were the same 7supposing the ether to act only superficially71 the densities would be as the distances inversely2#cg for the force due to the radial stream is as the square roots of the distance inversely1 and the force due to the momentum1 if the density of the ether within a planet be inversely as the square root of a planet's distance1 will also be inversely as the square roots of the distances approximately4 ,we offer these views1 however1 only as suggestions to others more competent to grapple with the question1 as promising a satisfactory solution of ,bode's empirical formula4 ,if there be a wave of denser ether cylindrically disposed around the vortex at the distance of ,saturn1 or between ,saturn and ,uranus1 we see why the law of densities and distances is not continuous4 ,for1 if the law of density changes1 it must be owing to such a ring or wave4 ,inside this wave1 the two forces will be inverse2 but outside1 one will be inverse1 and the other direct3 hence1 there should also be a change in the law of distances4 ,as this change does not take place until we pass ,uranus1 it may be suspected that the great disparity in the density of ,saturn may be more apparent than real4 ,the density of a planet is the relation between its mass and volume or extension1 no matter what the form of the body may be4 ,from certain observations of ,sir ,wm4 ,herschel--the ,titan of practical astronomers--the figure of ,saturn was suspected to be that of a square figure1 with the corners rounded off1 so as to leave both the equatorial and polar zones flatter than pertained to a true spheroidal figure4 ,the existence of an unbroken ring around ,saturn1 certainly attaches a peculiarity to this planet which prepares us to meet other departures from the usual order4 ,and when we reflect on the small density1 and rapid rotation1 the formation of this ring1 and the figure suspected by ,sir ,wm4 ,herschel1 it is neither impossible nor improbable1 that there may be a cylindrical vacant space surrounding the axis of ,saturn1 or at least1 that his solid parts may be cylindrical1 and his globular form be due to elastic gases and vapors1 which effectually conceal his polar openings4 ,and also1 by dilating and contracting at the poles1 in consequence of inclination to the radial stream1 7just as the earth's atmosphere is bulged out sufficiently to affect the barometer at certain hours every day17 give that peculiarity of form in certain positions of the planet in its orbit4 ,justice to ,sir ,wm4 ,herschel requires that his observations shall not be attributed to optical illusions4 ,this view1 however1 which may be true in the case of ,saturn1 would be absurd when applied to the earth1 as has been done within the present century4 ,from these considerations1 it is at least possible1 that the density of ,saturn may be very little less1 or even greater than the density of ,uranus1 and be in harmony with the law of distances4 ,it is now apparently satisfactorily determined1 that ,neptune is denser than ,uranus1 and the law being changed1 we must look for transneptunean planets at distances corresponding with the new law of arrangement4 ,but there are other modifying causes which have an influence in fixing the precise position of equilibrium of a planet4 ,each planet of the system possessing rotation1 is surrounded by an ethereal vortex1 and each vortex has its own radial stream1 the force of which in opposing the radial stream of the sun1 depends on the diameter and density of the planet1 on the velocity of rotation1 on the inclination of its axis1 and on the density of the ether at each particular vortex2 but the numerical verification of the position of each planet with the forces we have mentioned1 cannot be made in the present state of the question4 ,there is one fact worthy of note1 as bearing on the theory of vortices in connection with the rotation of the planets1 viz43 that observation has determined that the axial rotation and sidereal revolution of the secondaries1 are identical2 thus showing that they are without vortices1 and are motionless relative to the ether of the vortex to which they belong4 ,we may also advert to the theory of ,doctor ,olbers1 that the asteroidal group1 are the fragments of a larger planet which once filled the vacancy between ,mars and ,jupiter4 ,although this idea is not generally received1 it is gathering strength every year by the discovery of other fragments1 whose number now amounts to twenty-six4 ,if the idea be just1 our theory offers an explanation of the great differences observable in the mean distances of these bodies1 and which would otherwise form a strong objection against the hypothesis4 ,for if these little planets be fragments1 there will be differences of density according as they belonged to the central or superficial parts of the quondam planet1 and their mean distances must consequently vary also4 ,there are some other peculiarities connecting the distances and densities1 to which we shall devote a few words4 ,in the primordial state of the system1 when the nebulous masses agglomerated into spheres1 the diameter of these nebulous spheres would be determined by the relation existing between the rotation of the mass1 and the gravitating force at the centre2 for as long as the centrifugal force at the equator exceeded the gravitating force1 there would be a continual throwing off of matter from the equator1 as fast as it was brought from the poles1 until a balance was produced4 ,it is also extremely probable1 7especially if the elementary components of water are as abundant in other planets as we have reason to suppose them to be on the earth17 that the condensation of the gaseous planets into liquids and solids1 was effected in a brief period of time1#ch leaving the lighter and more elastic substances as a nebulous atmosphere around globes of semi-fluid matter1 whose diameters have never been much increased by the subsequent condensation of their gaseous envelopes4 ,the extent of these atmospheres being 7in the way pointed out7 determined by the rotation1 their subsequent condensation has not therefore changed the original rotation of the central globe by any appreciable quantity4 ,the present rotation of the planets1 is therefore competent to determine the former diameters of the nebulous planets1 i4e41 the limit where the present central force would be balanced by the centrifugal force of rotation4 ,if we make the calculation for the planets1 and take for the unit of each planet its present diameter1 we shall find that they have condensed from their original nebulous state1 by a quantity dependent on the distance1 from the centre of the system2 and therefore on the original temperature of the nebulous mass at that particular distance4 ,let us make the calculation for ,jupiter and the earth1 and call the original nebulous planets the nucleus of the vortex4 ,we find the ,equatorial diameter of ,jupiter's nucleus in equatorial diameters of ,jupiter #b4ba1 and the equatorial diameter of the earth's nucleus1 in equatorial diameters of the earth #f4ei4 ,now1 if we take the original temperature of the nebulous planets to be inversely1 as the squares of the distances from the sun1 and their volumes directly as the cubes of the diameters in the unit of each1 we find that these cubes are to each other1 in the inverse ratio of the squares of the planet's distances2 for1 #b4ba 3 #f4ei 33 #a 3 #e4b1 showing that both planets have condensed equally1 allowing for the difference of temperature at the beginning4 ,and we shall find1 beginning at the sun1 that the diameters of the nebulous planets1 ceteris paribus1 diminish outwards1 giving for the nebulous sun a diameter of #af1jjj1jjj miles1#ci thus indicating his original great temperature4 ,that the original nebulous planets did rotate in the same time as they do at present1 is proved by ,saturn's ring2 for if we make the calculation1 about twice the diameter of ,saturn4 ,now1 the diameter of the planet is about #hj1jjj miles1 which will also be the semi-diameter of the nebulous planet2 and the middle of the outer ring has also a semi-diameter of #hj1jjj miles2 therefore1 the ring is the equatorial portion of the original nebulous planet1 and ought1 on this theory1 to rotate in the same time as ,saturn4 ,according to ,sir ,john ,herschel1 ,saturn rotates in #aj hours1 #bi minutes1 and #ag seconds1 and the ring rotates in #aj hours1 #bi minutes1 and #ag seconds3 yet this is not the periodic time of a satellite1 at the distance of the middle of the ring2 neither ought the rings to rotate in the same time2 yet as far as observation can be trusted1 both the inner and outer ring do actually rotate in the same time4 ,the truth is1 the ring rotates too fast1 if we derive its centrifugal force from the analogy of its satellites2 but it is1 no doubt1 in equilibrium2 and the effective mass of ,saturn on the satellites is less than the true mass1 in consequence of his radial stream being immensely increased by the additional force impressed on the ether1 by the centrifugal velocity of the ring4 ,if this be so1 the mass of ,saturn1 derived from one of the inner satellites1 will be less than the same mass derived from the great satellite1 whose orbit is considerably inclined4 ,the analogy we have mentioned1 between the diameters of the nebulous planets and their distances1 does not hold good in the case of ,saturn1 for the reason already assigned1 viz43 that the nebulous planet was probably not a globe1 but a cylindrical ring1 vacant around the axis1 as there is reason to suppose is the case at present4 ,and now we have to ask the question1 ,did the ether involved in the nebulous planets rotate in the same time8 ,this does not necessarily follow4 ,the ether will undoubtedly tend to move with increasing velocity to the very centre of motion1 obeying the great dynamical principle when unresisted4 ,if resisted1 the law will perhaps be modified2 but in this case1 its motion of translation will be converted into atomic motion or heat1 according to the motion lost by the resistance of atomic matter4 ,this question has a bearing on many geological phenomena4 ,as regards the general effect1 however1 the present velocity of the ether circulating round the planets1 may be considered much greater than the velocities of the planets themselves4 ,,perturbations ,,due ,,to ,,the ,,ether4 ,in these investigations it is necessary to bear in mind that the whole resisting power of the ether1 in disturbing the planetary movements1 is but small1 in comparison with gravitation4 ,we will1 however1 show that1 in the case of the planets1 there is a compensation continually made by this resistance1 which leaves but a very small outstanding balance as a disturbing power4 ,if we suppose all the planets to move in the central plane of the vortex in circular orbits1 and the force of the radial stream1 7or that portion which is not in accordance with the law of gravitation17 to be inversely as the square roots of the distances from the sun1 it is evident1 from what has been advanced1 that an equilibrium could still obtain1 by variations in the densities1 distances and diameter of the planets4 ,supposing1 again1 that the planets still move in the same plane1 but in elliptical orbits1 and that they are in equilibrium at their mean distances1 under the influence or action of the tangential current1 the radial stream1 and the density of the ether2 we see that the force of the radial stream is too great at the perihelion1 and too small at the aphelion4 ,at the perihelion the planet is urged from the sun and at the aphelion towards the sun4 ,the density and consequent momentum is also relatively too great at the perihelion1 which also urges the planet from the sun1 and at the aphelion1 relatively too small1 which urges the planet towards sun2 and the law is the same in both cases1 being null at the mean distance of the planet1 at a maximum at the apsides2 it is1 consequently1 as the cosine of the planet's eccentric anomaly at other distances1 and is positive or negative1 according as the planet's distance is above or below the mean4 ,at the planet's mean distance1 the circular velocity of the vortex is equal to the circular velocity of the planet1 and1 at different distances1 is inversely in the sub-duplicate ratio of those distances4 ,but the circular velocity of a planet in the same orbit1 is in the simple ratio of the distances inversely4 ,at the perihelion1 the planet therefore moves faster than the ether of the vortex1 and at the aphelion1 slower2 and the difference is as the square roots of the distances2 but the force of resistance is as the square of the velocity1 and is therefore in the simple ratio of the distances1 as we have already found for the effect of the radial stream1 and centrifugal momentum of the internal ether4 ,at the perihelion this excess of tangential velocity creates a resistance1 which urges the planet towards the sun1 and at the aphelion1 the deficiency of tangential velocity urges the planet from the sun1--the maximum effect being at the apsides of the orbit1 and null at the mean distances4 ,in other positions it is1 therefore1 as the cosines of the eccentric anomaly1 as in the former case2 but in this last case it is an addititious force at the perihelion1 and an ablatitious force at the aphelion1 whereas the first disturbing force was an ablatitious force at the perihelion1 and an addititious force at the aphelion2 therefore1 as we must suppose the planet to be in equilibrium at its mean distance1 it is in equilibrium at all distances4 ,hence1 a planet moving in the central plane of the vortex1 experiences no disturbance from the resistance of the ether4 ,as the eccentricities of the planetary orbits are continually changing under the influence of the law of gravitation1 we must inquire whether1 under these circumstances1 such a change would not produce a permanent derangement by a change in the mean force of the radial stream1 so as to increase or diminish the mean distance of the planet from the sun4 ,the law of force deduced from the theory for the radial stream is as the #b4e power of the distances inversely4 ,but1 by dividing this ratio1 we may make the investigation easier2 for it is equivalent to two forces1 one being as the squares of the distances1 and another as the square roots of the distances4 ,for the former force1 we find that in orbits having the same major axis the mean effect will be as the minor axis of the ellipse inversely1 so that two planets moving in different orbits1 but at the same mean distance1 experience a less or greater amount of centripulsive force from this radial stream1 according as their orbits are of less or greater eccentricity1 and this in the ratio of the minor axis4 ,on the other hand1 under the influence of a force acting centripulsively in the inverse ratio of the square roots of the distances1 we find the mean effect to be as the minor axis of the ellipse directly1 so that two planets in orbits of different eccentricity1 but having the same major axis1 experience a different amount from the action of this radial stream1 the least eccentric orbit being that which receives the greatest mean effect4 ,by combining these two results1 we get a ratio of equality2 and1 consequently1 the action of the radial stream will be the same for the same orbit1 whatever change may take place in the eccentricity1 and the mean distance of the planet will be unchanged4 ,a little consideration will also show that the effect of the centrifugal momentum due to the density of ether will also be the same by change of eccentricity2 for the positive will always balance the negative effect at the greatest and least distances of the planet4 ,the same remark applies to the effect of the tangential current1 so that no change can be produced in the major axes of the planetary orbits by change of eccentricity1 as an effect of the resistance of the ether4 ,we will now suppose a planet's orbit to be inclined to the central plane of the vortex1 and in this case1 also1 we find1 that the action of the radial stream tends to increase the inclination in one quadrant as much as it diminishes it in the next quadrant1 so that no change of inclination will result4 ,but1 if the inclination of the orbit be changed by planetary perturbations1 the mean effect of the radial stream will also be changed1 and this will tell on the major axis of the orbit1 enlarging the orbit when the inclination diminishes1 and contracting it when it increases4 ,the change of inclination1 however1 must be referred to the central plane of the vortex4 ,notwithstanding the perfection of modern analysis1 it is confessed that the recession of the moon's nodes does yet differ from the theory by its #cejth part1 and a similar discrepancy is found for the advance of the perigee4#dj ,this theory is yet far too imperfect to say that the action of the ethereal medium will account for these discrepancies2 but it certainly wears a promising aspect1 worthy the notice of astronomers4 ,there are other minute discordancies between theory and observation in many astronomical phenomena1 which theory is competent to remove4 ,some of these we shall notice presently2 and1 it may be remarked1 that it is in those minute quantities which1 in astronomy1 are usually attributed to errors of observation1 that this theory will eventually find the surest evidence of its truth4 ,,kepler',s ,,third ,,law ,,only ,,approximately ,,true4 ,but it may be asked3 ,if there be a modifying force in astronomy derived from another source than that of gravitation1 why is it that the elements of the various members of the system derived solely from gravitation should be so perfect8 ,to this it may be answered1 that although astronomers have endeavored to derive every movement in the heavens from that great principle1 they have but partially succeeded4 ,let us not surrender our right of examining ,nature to the authority of a great name1 nor call any man master1 either in moral or physical science4 ,it is well known that ,kepler's law of the planetary distances and periods1 is a direct consequence of the ,newtonian ,law of gravitation1 and that the squares of the periodic times ought to be proportional to the cubes of the mean distances4 ,these times are given accurately by the planets themselves1 by the interval elapsing between two consecutive passages of the node1 and as in the case of the ancient planets we have observations for more than two thousand years past1 these times are known to the fraction of the second4 ,the determination of the distances however1 depends on the astronomer1 and a tyro in the science might suppose that these distances were actually measured2 and so they are roughly2 but the astronomer does not depend on his instruments1 he trusts to analogy1 and the mathematical perfection of a law1 which in the abstract is true2 but which he does not know is rigidly exact when applied to physical phenomena4 ,from the immense distance of the planets and the smallness of the earth1 man is unable to command a base line sufficiently long1 to make the horizontal parallax a sensible angle for the more distant planets2 and there are difficulties of no small magnitude to contend with1 with those that are the nearest4 ,in the occasional transit of ,venus across the sun1 however1 he is presented with a means of measuring on an enlarged scale1 from which the distance of the sun is determined2 and by analogy the distance of all the planets4 ,even the parallax of the sun itself is only correct1 by supposing that the square of the periodic time of ,venus is in the same proportion to the square of the periodic time of the earth as the cube of her distance is to the cube of the earth's distance4 ,our next nearest planet is ,mars1 and observations on this planet at its opposition to the sun1 invariably give a larger parallax for the sun--,venus giving #h4eggf while ,mars gives about #aj4 ,it is true that the first is obtained under more favorable circumstances2 but this does not prove the last to be incorrect4 ,it is well known that the ,british ,nautical ,almanac contains a list of stars lying in the path of the planet ,mars about opposition1 7for the very purpose of obtaining a correct parallax17 that minute differences of declination may be detected by simultaneous observations in places having great differences of latitude4 ,yet strange to say1 the result is discredited when not conformable to the parallax given by ,venus4 ,if then1 we cannot trust the parallax of ,mars1 fortiori1 how can we trust the parallax of ,jupiter1 and say that his mean distance exactly corresponds to his periodic time8 ,let us suppose1 for instance1 that the radius vector of ,jupiter fell short of that indicated by analogy by #aj1jjj miles1 we say that it would be extremely difficult1 nay1 utterly impossible1 to detect it by instrumental means4 ,let not astronomers1 therefore1 be too sure that there is not a modifying cause1 independent of gravitation1 which they will yet have to recognize4 ,the moon's distance is about one-fourth of a million of miles1 and ,neptune's #bhed millions1 or in the ratio of #aj1jjj to #a2 yet even the moon's parallax is not trusted in determining her mass1 how then shall we determine the parallax of ,neptune8 ,it is therefore possible that the effective action of the sun is in some small degree different1 on the different planets1 whether due to the action of the ether1 to the similarity or dissimilarity of material elements1 to the temperature of the different bodies1 or to all combined1 is a question yet to be considered4 ,as another evidence of the necessity of modifying the strict wording of the ,newtonian law1 it is found that the disturbing action of ,jupiter on different bodies1 gives different values for the mass of ,jupiter4 ,the mass deduced from ,jupiter's action on his satellites1 is different from that derived from the perturbations of ,saturn1 and this last does not correspond with that given by ,juno3 ,vesta also gives a different mass from the comet of ,encke1 and both vary from the preceding values4#da ,in the analytical investigation of planetary disturbances1 the disturbing force is usually divided into a radial and tangential force2 the first changing the law of gravitation1 to which law the elliptic form of the orbit is due4 ,the radial disturbing force1 therefore1 being directed to or from the centre1 can have no influence over the first law of ,kepler1 which teaches that the radius vector of each planet having the sun as the centre1 describes equal areas in equal times4 ,if the radial disturbing force be exterior to the disturbed body1 it will diminish the central force1 and cause a progressive motion in the aphelion point of the orbit4 ,in the case of the moon this motion is very rapid1 the apogee making an entire revolution in #cbcb days4 ,does this1 however1 correspond with the law of gravitation8 ,sir ,isaac ,newton1 in calculating the effect of the sun's disturbing force on the motion of the moon's apogee1 candidly concludes thus3 ,idoque apsis summa singulis revolutionibus progrediendo conficit #a #ca #bh4 ,apsis lun est duplo velocior circiter4 ,as there was a necessity for reconciling this stubborn fact with the theory1 his followers have made up the deficiency by resorting to the tangential force1 or1 as ,clairant proposed1 by continuing the approximations to terms of a higher order1 or to the square of the disturbing force4 ,now1 in a circular orbit1 this tangential force will alternately increase and diminish the velocity of the disturbed body1 without producing any permanent derangement1 the same result would obtain in an elliptical orbit1 if the position of the major axis were stationary4 ,in the case of the moon1 the apogee is caused to advance by the disturbing power of the radial force1 and1 consequently1 an exact compensation is not effected3 there remains a small excess of velocity which geometers have considered equivalent to a doubling of the radial force1 and have thus obviated the difficulty4 ,to those not imbued with the profound penetration of the modern analyst1 there must ever appear a little inconsistency in this result4 ,the major axis of a planet's orbit depends solely on the velocity of the planet at a given distance from the sun1 and the tangential portion of the disturbance due to the sun1 and impressed upon the moon1 must necessarily increase and diminish alternately the velocity of the moon1 and interfere with the equable description of the areas4 ,if1 then1 there be left outstanding a small excess of velocity over and above the elliptical velocity of the moon1 at the end of each synodical revolution1 in consequence of the motion impressed on the moon's apogee by the radial force1 the legitimate effect would be a small enlargement of the lunar orbit every revolution in a rapidly-increasing ratio1 until the moon would at last be taken entirely away4 ,in the great inequality of ,jupiter and ,saturn1 this tangential force is not compensated at each revolution1 in consequence of continual changes in the configuration of the two planets at their heliocentric conjunctions1 with respect to the perihelion of their orbits1 and the near commensurability of their periods2 and the effect of the tangential force is1 in this case1 legitimately impressed on the major axes of the orbits4 ,but why 7we may ask7 should not this also be expended on the motion of the aphelion as well as in the case of the moon8 ,astronomy can make no distinctions between the orbit of a planet and the orbit of a satellite4 ,and1 we might also ask1 why the tangential resistance to the comet of ,encke should not also produce a retrograde motion in the apsides of the orbit1 instead of diminishing its period8 ,to the honor of ,newton1 be it remembered1 that he never resorted to an explanation of this phenomenon1 which would vitiate that fundamental proposition of his theory1 in which the major axis of the orbit is shown to depend on the velocity at any given distance from the focus4 ,some cause1 however1 exists to double the motion of the apogee1 and that there is an outstanding excess of orbital velocity due to the tangential force1 is also true4 ,this excess may tell in the way proposed1 provided some other arrangement exists to prevent a permanent dilation of the lunar orbit2 and this provision may be found in the increasing density of the ether1 which prevents the moon overstepping the bounds prescribed by her own density1 and the force of the radial stream of the terral vortex4 ,in the case of ,jupiter and ,saturn1 their mutual action is much less interfered with by change of density in the ether in the enlarged or contracted orbit1 and1 consequently1 the effect is natural4 ,thus1 we have in the law of density of the ethereal medium a better safeguard to the stability of the dynamical balance of the system1 than in the profound and beautiful ,theorems of ,la ,grange4 ,it will1 of course1 occur to every one1 that we are not to look for the same law in every vortex1 and it will1 therefore1 appear as if the satellites of ,jupiter1 whose theory is so well known1 should render apparent any deviation between their periodic times and the periodic times of the contiguous parts of the vortex1 which would obtain1 if the density of the ether in the ,jovian vortex were not as the square roots of the distances directly4 ,but1 we have shown how there can be a balance preserved1 if the tangential resistance of the vortex shall be equal and contrary at the different distances at which the satellites are placed2 that is1 if these two forces shall follow the same law4 ,these are matters1 however1 for future investigation4 ,,light ,,and ,,heat4 ,but will not the admission of a vorticose motion of the ethereal medium1 affect the aberration of light8 ,it is well known that the question has been mooted1 whether the velocity of reflected light is the same as that of direct light4 ,the value of aberration having been considered #bj4be1 from the eclipses of ,jupiter's satellites1 while later determinations1 from observations on ,polaris1 give #bj4de4 ,it cannot be doubted that light1 in traversing the central parts of the solar vortex1 that is1 having to cross the whole orbit of the earth1 should pass this distance in a portion of time somewhat different to a similar distance outside the earth's orbit1 where the density is greater1 and consequently induce an error in the aberration1 determined by the eclipses of ,jupiter's satellites4 ,in the case of ,polaris1 the circumstances are more equal2 still1 a difference ought to be detected between the deduced aberration in summer and in winter1 as1 in the first case1 the light passes near the axis of the solar vortex1 where 7according to the theory7 a change of density occurs4 ,this is an important practical question1 and the suggestion is worthy attention4 ,now1 the question occurs1 will light pass through the rarefied space with greater velocity than through the denser ether beyond8 ,from recent experiments1 first instituted by ,arago1 it is determined that light passes with less velocity through water than through air2 and one result of these experiments is the confirmation they give to the theory of ,fresnel1 that the medium which conveys the action of light partly partakes of the motion of the refracting body4 ,this of itself is a strong confirmation of this theory of an ethereal medium4 ,it may also be remarked1 that every test applied to the phenomenon of light1 adds additional strength to the undulatory theory1 at the expense of the ,newtonian theory of emission4 ,as light occupies time in traversing space1 it must follow from the theory that it does not come from the radiant point exactly in straight lines1 inasmuch as the ether itself is in motion tangentially1--the velocity being in the sub-duplicate ratio of the distances from the sun inversely4 ,may not that singular phenomenon1--the projection of a star on the moon's disc1 at the time of an occultation1--be due to this curvature of the path of a ray of light1 by considering that the rays from the moon have less intensity1 but more mechanical momentum1 and consequently more power to keep a straight direction8 ,let us explain3 we have urged that light1 as well as heat1 is a mechanical effect of atomic motion1 propagated through an elastic medium2 that1 ceteris paribus1 the product of matter by its motion is ever a constant quantity for equal spaces throughout the universe1--in a word1 that it is1 and must necessarily be1 a fundamental law of nature4 ,all departures from this law are consequences of accidental arrangements1 which can only be considered of temporary duration4 ,our knowledge of planetary matter requires the admission of differences in the density1 form1 and size of ultimate atoms1 and1 according to the above law1 when the atoms are of uniform temperature or motion1 the product of the matter of each by its motion1 when reduced to the same space1 will be constant4 ,the momentum of two different atoms1 therefore1 we will consider equal1 for the sake of illustration2 yet this momentum is made up of two different elements1--matter and motion4 ,let us exaggerate the difference1 and assign a ratio of #ajjj to #a4 ,suppose a ball of iron of #ajjj lbs41 resting upon a horizontal plane1 should be struck by another ball of #a lb41 having a motion of #ajjj feet in a second1 and1 in a second case1 should be struck by a ball of #ajjj lbs41 having a velocity of #a foot per second1 the momentum of each ball is similar2 but experience proves that the motion impressed on the ball at rest is not similar2 the ponderous weight and slow motion is far more effective in displacing this ball1 for the reason that time is essential to the distribution of the motion4 ,if the body to be struck be small as1 for instance1 a nail1 a greater motion and less matter is more effective than much matter and little motion4 ,hence1 we have a distinction applicable to the difference of momentum of luminous and calorific rays4 ,the velocity of a wave of sound through the atmosphere1 is the same for the deep-toned thunder and the shrillest whistle1--being dependent on the density of the medium1 and not on the source from which it emanates4 ,so it is in the ethereal medium4 ,this view is in accordance with the experiments of ,m4 ,delaroche and ,melloni1 on the transmission of light and heat through diaphanous bodies--the more calorific rays feeling more and more the influence of thickness1 showing that more motion was imparted to the particles of the diaphanous substance by the rays possessing more material momentum1 and still more when the temperature of the radiating body was low1 evidently analogous to the illustration we have cited4 ,light may therefore be regarded as the effect of the vibration of atoms having little mass1 and as this mass increases1 the rays become more calorific1 and finally the calorific effect is the only evidence of their existence2 as towards the extreme red end of the spectrum they cease to be visible1 owing to their inability to impart their vibrations to the optic nerve4 ,this may also influence the law of gravitation4 ,in this we have also an explanation of the dispersion of light4 ,the rays proceeding from atoms of small mass having less material momentum1 are the most refrangible1 and those possessing greater material momentum1 are the least refrangible2 so that instead of presenting a difficulty in the undulatory theory of light1 this dispersion is a necessary consequence of its first principles4 ,it is inferred from the experiments cited1 and the facts ascertained by them1 viz43 that the velocity of light in water is less than its velocity in air2 that the density of the ether is greater in the first case2 but this by no means follows4 ,we have advocated the idea1 that the ethereal medium is less dense within a refracting body than without4 ,we regard it as a fundamental principle4 ,taking the free ether of heaven2 the vibrations in the denser ether will no doubt be slowest2 but within a refracting body we must consider there is motion lost1 or light absorbed1 and the time of the transmission is thus increased4 ,there has been a phenomenon observed in transits of ,mercury and ,venus across the sun1 of which no explanation has been rendered by astronomers4 ,when these planets are visible on the solar disc1 they are seen surrounded by rings1 as if the light was intercepted and increased alternately4 ,this is no doubt due to a small effect of interference1 caused by change of velocity in passing through the rarefied nucleus of these planetary vortices1 near the body of the planet1 and through the denser ether beyond1 acting first as a concave1 and secondly as a convex refracting body2 always considering that the ray will deviate towards the side of least insistence1 and thus interfere4 ,that heat is simply atomic motion1 and altogether mechanical1 is a doctrine which ought never to have been questioned4 ,the interest excited by the bold experiments of ,ericson1 has caused the scientific to suspect1 that heat can be converted into motion1 and motion into heat--a fact which the author has considered too palpable to deny for the last twenty years4 ,he has ever regarded matter and motion as the two great principles of nature1 ever inseparable1 yet variously combined2 and that without these two elements1 we could have no conception of anything existing4 ,it may be thought by some1 who are afraid to follow truth up the rugged precipices of the hill of knowledge1 that this theory of an interplanetary plenum leads to materialism2 forgetting1 that ,he who made the world1 formed it of matter1 and pronounced it very good4 ,we may consider ethereal matter1 in one sense1 purer than planetary matter1 because unaffected by chemical laws4 ,whether still purer matter exists1 it is not for us to aver or deny4 ,the ,scriptures teach us that there is a natural body and there is a spiritual body4 ,beyond this we know nothing4 ,we1 however1 believe that the invisible world of matter1 can only be comprehended by the indications of that which is visible2 yet while humbly endeavoring to connect by one common tie1 the various phenomena of matter and motion1 we protest against those doctrines which teach the eternal duration of the present order of things1 as being incompatible with the analogies of the past1 as well as with the revelations of the future4 ,,footnotes3 #ce ,silliman's ,journal1 vol xxxv41 page #bhc4 #cf ,the real diameter of the earth in that latitude1 whose sine is one-third1 is a little greater than this2 but the true mean is more favorable for the ,newtonian law4 #cg ,this is1 perhaps1 the nearest ratio of the densities and distances4 #ch ,this is an important consideration1 as bearing on the geology of the earth4 #ci ,it is not as likely that the condensation of the sun was so sudden as that of the planets1 and therefore in this case this distance is only approximate4 #dj ,mechanique ,celeste4 ,theory of the ,moon4 #da ,mechanique ,celeste4 ,masses of the planets4 ,,section ,,fifth4 ,,cometary ,,phenomena4 ,the planetary arrangements of the solar system are all priori indications of the theory of vortices1 not only by the uniform direction of the motions1 the circular orbits in which these motions are performed1 the near coincidence of the planes of these orbits1 and the uniform direction of the rotation of the planets themselves2 but1 also1 by the law of densities and distances1 which we have already attempted to explain4 ,in the motions of comets we find no such agreement4 ,these bodies move in planes at all possible inclinations in orbits extremely eccentrical and without any general direction--as many moving contrary to the direction of the planets as in the opposite direction2 and when we consider their great volume1 and their want of mass1 it appears1 at first sight1 that comets do present a serious objection to the theory4 ,we shall point out1 however1 a number of facts which tend to invalidate this objection1 and which will ultimately give the preponderance to the opposite argument4 ,every fact indicative of the nature of comets proves that the nuclei are masses of material gases1 similar1 perhaps 7at least in the case of the short-period comets71 to the elementary gases of our own planet1 and1 consequently1 these masses must be but small4 ,in the nascent state of the system1 the radial stream of the vortex would operate as a fan1 purging the planetary materials of the least ponderable atoms1 and1 as it were1 separating the wheat from the chaff4 ,it is thus we conceive that the average atomic density of each planet has been first determined by the radial stream1 and1 subsequently1 that the solidification of the nebulous planets has1 by their atomic density1 assigned to each its position in the system1 from the consequent relation which it established between the density of the ether within the planet1 and the density of the ether external to it1 so that1 according to this view1 a single isolated atom of the same density as the mean atomic density of the earth could 7ceteris paribus7 revolve in an orbit at the distance of the earth1 and in the same periodic time4 ,this1 however1 is only advanced by way of illustration4 ,the expulsive force of the radial stream would thus drive off this cometary dust to distances in some inverse ratio of the density of the atoms2 but1 a limit would ultimately be reached1 when gravitation would be relatively the strongest--the last force diminishing only as the squares of the distances1 and the first diminishing in the compound ratio of the squares and the square roots of the distances4 ,at the extreme verge of the system1 this cometary matter would accumulate1 and1 by accumulation1 would still further gather up the scattered atoms--the sweepings of the inner space--and1 in this condensed form1 would again visit the sun in an extremely elongated ellipse4 ,it does not1 however1 follow1 that all comets are composed of such unsubstantial materials4 ,there may be comets moving in parabolas1 or even in hyperbolas--bodies which may have been accumulating for ages in the unknown regions of space1 far removed from the sun and stars1 drifting on the mighty currents of the great ethereal ocean1 and thus brought within the sphere of the sun's attraction2 and these bodies may have no analogy to the periodical comets of our system1 which last are those with which we are more immediately concerned4 ,the periodical comets known are clearly arranged into two distinct classes--one having a mean distance between ,saturn and ,uranus1 with a period of about seventy-five years1 and another class1 whose mean distance assigns their position between the smaller planets and ,jupiter1 having periods of about six years4 ,these last may be considered the siftings of the smaller planets1 and the first the refuse of the ,saturnian system4 ,in this light we may look for comets having a mean distance corresponding to the intervals of the planets1 rather than to the distances of the planets themselves4 ,one remarkable fact1 however1 to be observed in these bodies is1 that all their motions are in the same direction as the planets1 and1 with one exception1 there is no periodical comet positively known whose motion is retrograde4 ,the exception we have mentioned is the celebrated comet of ,halley1 whose period is also about seventy-five years4 ,in reasoning on the resistance of the ether1 we must consider that the case can have very little analogy with the theory of projectiles in air2 nor can we estimate the inertia of an infinitely divisible fluid1 from its resisting influence on atomic matter1 by a comparison of the resistance of an atomic fluid on an atomic solid4 ,analogy will only justify comparisons of like with like4 ,the tangent of a comet's orbit1 also1 can only be tangential to the circular motion of the ether at and near perihelion1 which is a very small portion of its period of revolution4 ,as far as the tangential resistance is concerned1 therefore1 it matters little whether its motion be direct or retrograde4 ,if a retrograde comet1 of short period and small eccentricity1 were discovered moving also near the central plane of the vortex1 it would present a very serious objection1 as being indicative of contrary motions in the nascent state of the system4 ,there is no such case known4 ,so1 also1 with the inclinations of the orbits2 if these be great1 it matters little whether the comet moves in one way or the other1 as far as the tangential current of the vortex is concerned4 ,yet1 when we consider the average inclination of the orbit1 and not of its plane1 we find that the major axes of nearly all known cometary orbits are very little inclined to the plane of the ecliptic4 ,in the following table of all the periodical comets known1 the inclination of the major axis of the orbit is calculated to the nearest degree2 but all cometary orbits with very few exceptions1 will be found to respect the ecliptic1 and never to deviate far from that plane3 ---------------------------------------- ---------------------------- ,designations ,periodic ,inclination ,motion ,planetary of the ,comets4 times4 of in ,orbit4 ,intervals4 ,major ,axes ---------------------------------------- ---------------------------- ,encke #ahah #c years4 #a ,direct ,mars ,ceres4 ---------------------------------------- ---------------------------- ,de ,vico #ahad #b ,direct ,fayo #ahdc #d ,direct ,ceres ,de ,avrest #ahea ,from #a ,direct ,brorsen #ahdf five #g ,direct and ,messier #agff to #j ,direct ,clausen #agdc six #j ,direct ,jupiter4 ,pigott #aghc or #d ,direct ,pous #ahai seven #c ,direct ,biela #ahbf years4 #i ,direct ,blaupain #ahai #b ,direct ,lexell #aggj #a ,direct ---------------------------------------- ---------------------------- ,pous #ahab #ag ,direct ,olbers #ahaf about #dj ,direct ,saturn ,de ,vico #ahdf #ge #ac ,direct and ,brorsen #ahdg years4 #ab ,direct ,uranus4 ,westphal #aheb #ba ,direct ,halley #afhb #af ,retrograde ---------------------------------------- ---------------------------- ,from which it appears1 that the objection arising from the great inclination of the planes of these orbits is much less important than at first it appears to be4 ,regarding then1 that a comet's mean distance depends on its mean atomic density1 as in the case of the planets1 the undue enlargement of their orbits by planetary perturbations is inadmissible4 ,in #aggj ,messier discovered a comet which approached nearer the earth than any comet known1 and it was found to move in a small ellipse with a period of five and a half years2 but although repeatedly sought for1 it was the opinion of many1 that it has never been since seen4 ,the cause of this seeming anomaly is found by astronomers in the disturbing power of ,jupiter1--near which planet the comet must have passed in #aggi1 but the comet was not seen in #aggf before it passed near ,jupiter1 although a very close search was kept up about this time4 ,now there are two suppositions in reference to this body3 the comet either moved in a larger orbit previous to #agfg1 and was then caused by ,jupiter to diminish its velocity sufficiently to give it a period of five and a half years1 and that after perihelion it recovered a portion of its velocity in endeavoring to get back into its natural orbit2 or if moving in the natural orbit in #aggj1 and by passing near ,jupiter in #aggi this orbit was deranged1 the comet will ultimately return to that mean distance although not necessarily having elements even approximating those of #aggj4 ,in #ahdd1 ,september #aeth1 the author discovered a comet in the constellation ,cetus1 7the same previously discovered by ,de ,vico at ,home17 and from positions estimated with the naked eye approximately determined the form of its orbit and its periodic time to be very similar to the lost comet of #aggj4 ,these conclusions were published in a western paper in ,october #ahdd1 on which occasion he expressed the conviction1 that this was no other than the comet of #aggj4 ,as the question bore strongly on his theory he paid the greater attention to it1 and had1 previously to this time1 often searched in hopes of finding that very comet4 ,since then1 ,m4 ,le ,verrier has examined the question of identity and given his decision against it2 but the author is still sanguine that the comet of #ahdd is the same as that of #aggj1 once more settled at its natural distance from the sun4 ,this comet returns to its perihelion on the #fth of ,august1 #ahee1 according to ,dr4 ,brnnow1 when1 it is hoped1 the question of identity will be reconsidered with reference to the author's principles2 and1 that when astronomers become satisfied of this1 they will do him the justice of acknowledging that he was the first who gave publicity to the fact1 that the ,lost ,comet was found4 ,that comets do experience a resistance1 is undeniable2 but not in the way astronomers suppose1 if these views be correct4 ,the investigations of ,professor ,encke1 of ,berlin1 on the comet which bears his name1 has determined the necessity of a correction1 which has been applied for several returns with apparent success4 ,but there is this peculiarity about it1 which adds strength to our theory3 ,the ,constant of ,resistance requires a change after perihelion4 ,the necessity for this change shows the action of the radial stream4 ,from the law of this force1 7reckoning on the central plane of the vortex17 there is an outstanding portion1 acting as a disturbing power1 in the sub-duplicate ratio of the distances inversely4 ,if we only consider the mean or average effect in orbits nearly circular1 this force may be considered as an ablatitious force at all distances below the mean1 counterbalanced by an opposite effect at all distances above the mean4 ,but when the orbits become very eccentrical1 we must consider this force as momentarily affecting a comet's velocity1 diminishing it as it approaches the perihelion1 and increasing it when leaving the perihelion4 ,a resolution of this force is also requisite for the comet's distance above the central plane of the vortex1 and a correction1 likewise1 for the intensity of the force estimated in that plane4 ,there is also a correction necessary for the perihelion distance1 and another for the tangential current2 but we are only considering here the general effect4 ,by diminishing the comet's proper velocity in its orbit1 if we consider the attraction of the sun to remain the same1 the general effect may be 7for this depends on the tangential portion of the resolved force preponderating7 that the absolute velocity will be increased1 and the periodic time shortened2 but after passing the perihelion1 with the velocity of a smaller orbit1 there is also superadded to this already undue velocity1 the expulsive power of the radial stream1 adding additional velocity to the comet2 the orbit is therefore enlarged1 and the periodic time increased4 ,hence the necessity of changing the ,constant of ,resistance after perihelion1 and this will generally be found necessary in all cometary orbits1 if this theory be true4 ,but this question is one which may be emphatically called the most difficult of dynamical problems1 and it may be long before it is fully understood4 ,according to the calculations of ,professor ,encke1 the comet's period is accelerated about #b hours1 #cj minutes1 at each return1 which he considers due to a resisting medium4 ,may it not rather be owing to the change of inclination of the major axis of the orbit1 to the central plane of the vortex8 ,suppose the inclination of the plane of the orbit to remain unchanged1 and the eccentricity of the orbit also1 if the longitude of the perihelion coincides with that of either node1 the major axis of the orbit lies in the ecliptic1 and the comet then experiences the greatest mean effect from the radial stream2 its mean distance is then1 ceteris paribus1 the greatest4 ,when the angle between the perihelion and the nearest node increases1 the mean force of the radial stream is diminished1 and the mean distance is diminished also4 ,when the angle is #ij1 the effect is least1 and the mean distance least4 ,this is supposing the ecliptic the central plane of the vortex4 ,when ,encke's formula was applied to ,biela's comet1 it was inadequate to account for a tenth part of the acceleration2 and although ,biela moves in a much denser medium1 and is of less dense materials1 even this taken into account will not satisfy the observations1--making no other change in ,encke's formula4 ,we must therefore attribute it to changes in the elements of the orbits of these comets4 ,now1 the effect of resistance should also have been noticed1 as an acceleration of ,halley's comet in #ahce1 yet the period was prolonged4 ,to show1 that our theory of the cause of these anomalies corresponds with facts1 we subjoin the elements in the following tables1 taken from ,mr4 ,hind's catalogue3 ,,the ,,elements ,,of ,,encke',s ,,comet4 ,date of ,longitude of ,longitude of ,difference of ,perihelion4 ,perihelion4 nearest ,node ,longitude4 #ahbb #aeg #aa #dd #aed #be #i #b #df #ce #ahbe #aeg #ad #ca #aed #bg #cj #b #dg #a #ahbi #aeg #ag #ec #aed #bi #cb #b #dh #ba #ahcbdb #aeg #ba #a #aed #cb #i #b #da #eb #ahce #aeg #bc #bi #aed #cd #ei #b #dh #cj #ahch #aeg #bg #d #aed #cf #da #b #ej #bc #ahdb #aeg #bi #bg #aed #ci #aj #b #ej #ag #ahde #aeg #dd #ba #aed #ai #cc #c #bd #dh #ahdh #aeg #dg #h #aed #bb #ab #c #bd #ef #aheb #aeg #ea #b #aed #bc #ba #c #bg #da ,in this we see a regular increase of the angle1 which ought to be attended with a small acceleration of the comet2 but the change of inclination of the orbit ought also to be taken into consideration1 to get the mean distance of the comet above the plane of the vortex1 and1 by this1 the mean force of the radial stream4 ,in the following table1 the same comparison is made for ,biela's comet3-- ,,elements ,,of ,,biela',s ,,comet4 ,date of ,longitude of ,longitude of ,difference of ,perihelion4 ,perihelion4 nearest ,node4 ,longitude4 #aggb #aaj #ad #ed #gd #j #a #cf #ad #ec #ahjf #aji #cb #bc #ga #ae #ae #ch #ag #h #ahbf #aji #de #ej #ga #bh #ab #ch #ag #chdc #ahcb #aaj #ee #ee #fh #ae #cf #da #de #ai #ahdf #aji #b #bj #fe #ed #ci #dc #g #da ,between #ahcb and #ahdf1 the increase of the angle is twice as great for ,biela as for ,encke1 and the angle itself throws the major axis of ,biela #aj above the ecliptic1 whereas the angle made by ,encke's major axis1 is only about #a2 the cosine of the first angle1 diminishes much faster therefore1 and consequently the same difference of longitude between the perihelion and node1 will cause a greater acceleration of ,biela2 and according to ,prof4 ,encke's theory1 ,biela would require a resisting medium twenty-five times greater than the comet of ,encke to reconcile observation with the theory4 ,halley's comet can scarcely be considered to have had an orbit with perfect elements before #ahce4 ,if they were known accurately for #agei1 we should no doubt find1 that the angle between the node and perihelion diminished in the interval between #agej and #ahce1 as according to the calculations of ,m4 ,rosenberg1 the comet was six days behind its time--a fact fatal to the common ideas of a resisting medium2 but this amount of error must be received as only approximate4 ,no comet that has revisited the sun1 has given astronomers more trouble than the great comet of #ahdc4 ,various orbits have been tried1 elliptical1 parabolic and hyperbolic2 yet none will accord with all the observations4 ,the day before this comet was seen in ,europe and the ,united ,states1 it was seen close to the body of the sun at ,conception1 in ,south ,america2 yet this observation1 combined with those following1 would give an orbital velocity due to a very moderate mean distance4 ,subsequent observations best accorded with a hyperbolic orbit2 and it was in view of this anomaly1 that the late ,sears ,c4 ,walker considered that the comet came into collision with the sun in an elliptical orbit1 and its debris passed off again in a hyperbola4 ,that a concussion would not add to its velocity is certain1 and the departure in a hyperbolic orbit would be contrary to the law of gravitation4 ,this principle is thus stated by ,newton3--,in parabola velocitas ubiquo equalis est velocitati corporis revolventis in circulo ad dimidiam distantiam2 in ellipsi minor est in hyperbola major4 7,vid4 ,prin4 ,lib4 #a4 ,prop4 #f ,cor4 #g47 ,but as regards the fact1 it is probable that ,mr4 ,walker's views are correct1 so far as the change from an ellipse to an hyperbola is considered4 ,the ,conception observation cannot be summarily set aside1 and ,professor ,peirce acknowledges1 that ,if it was made with anything of the accuracy which might be expected from ,captain ,ray1 it exhibits a decided anomaly in the nature of the forces to which the comet was subjected during its perihelion passage4 ,the comet came up to the sun almost in a straight line against the full force of the radial stream2 its velocity must therefore necessarily have been diminished4 ,after its perihelion1 its path was directly from the sun1 and an undue velocity would be kept up by the auxiliary force impressed upon it by the same radial stream2 and hence1 the later observations give orbits much larger than the early ones1 and there can be no chance of identifying this comet with any of its former appearances1 even should its orbit be elliptical4 ,this unexpected confirmation of the theory by the observation of ,capt4 ,ray1 cannot easily be surmounted4 ,we must now endeavor to explain the physical peculiarities of comets1 in accordance with the principles laid down4 ,the most prominent phenomenon of this class is the change of diameter of the visible nebulosity4 ,it is a most singular circumstance1 but well established as a fact1 that a comet contracts in its dimensions on approaching the sun1 and expands on leaving it4 ,in #ahbi1 accurate measures were taken on different days1 of the diameter of ,encke's comet1 and again in #ahch4 ,the comet of #afah was also observed by ,kepler with this very object1 and also the comet of #ahjg2 but without multiplying instances1 it may be asserted that it is one of those facts in cometary phenomena1 to which there are no exceptions4 ,according to all analogy1 the very reverse of this ought to obtain4 ,if a comet is chiefly vaporous1 7as this change of volume would seem to indicate17 its approach to the sun ought to be attended by a corresponding expansion by increase of temperature4 ,when the contrary is observed1 and invariably so1 it ought to be regarded as an index of the existence of other forces besides gravitation1 increasing rapidly in the neighborhood of the sun2 for the disturbing power of the sun's attraction would be to enlarge the diameter of a comet in proportion to its proximity4 ,now1 the force of the radial stream1 as we have shown1 is as the #b4eth power of the distances inversely4 ,if this alternate contraction and expansion be due to the action of this force1 there ought to be an approximate correspondence of the law of the effect with the law of the cause4 ,arago1 in speaking of the comet of #ahbi1 states1 that between the #bhth of ,october and the #bdth of ,december1 the volume of the comet was reduced as #afjjj to #a1 the change of distance in the meantime only varying about #c to #a4 ,to account for this1 a memoir was published on the subject by ,m4 ,valz1 in which he supposes an atmosphere around the sun1 whose condensation increases rapidly from superincumbent pressure2 so that the deeper the comet penetrates into this atmosphere the greater will be the pressure1 and the less the volume4 ,in this it is evident1 that the ponderous nature of a resisting medium is not yet banished from the schools4 ,in commenting on this memoir1 ,arago justly observes1 that there would be no difficulty in this if it could be admitted that the exterior envelope of the nebulosity were not permeable to the ether2 but this difficulty seems insurmountable1 and merits our sincere regret2 for ,m4 ,valz's ingenious hypothesis has laid down the law of variation of the bulk of the nebulosity1 as well for the short-period comet as for that of #afah1 with a truly wonderful exactness4 ,now1 if we make the calculation1 we shall find that the diameter of the nebulosity of a comet is inversely as the force of the radial stream4 ,this force is inversely as the #b4e power of the distances from the axis1 and not from the sun3 it will1 therefore1 be in the inverse ratio of the cosine of the comet's heliocentric latitude to radius1 and to this ratio the comet's distance ought to be reduced4 ,but1 this will only be correct for the same plane or for equal distances above the ecliptic plane1 considering this last as approximately the central plane of the vortex4 ,from the principles already advanced1 the radial stream is far more powerful on the central plane than in more remote planes2 therefore1 if a comet1 by increase of latitude1 approaches near the axis1 thus receiving a larger amount of force from the radial stream in that plane than pertains to its actual distance from the sun1 it will also receive a less amount of force in that plane than it would in the central plane at the same distance from the axis4 ,now1 we do not know the difference of force at different elevations above the central plane of the vortex2 but as the two differences due to elevation are contrary in their effects and tend to neutralize each other1 we shall make the calculation as if the distances were truly reckoned from the centre of the sun4 ,the following table is extracted from ,arago's tract on ,comets1 and represents the variations of the diameter of ,encke's comet at different distances from the sun1--the radius of the orbis magnus being taken as unity4 ,times of observation1 ,distances of the ,real diameters #ahbh4 comet from the sun4 in radii of the earth4 ,oct4 #bh #a4dfag #gi4d ,nov4 #g #a4cbag #fd4h ,nov4 #cj #j4iffh #bi4h ,dec4 #g #j4hdgc #ai4i ,dec4 #ad #j4gbhe #aa4c ,dec4 #bd #j4fdai #c4a ,in order the better to compare the diameters with the force1 we will reduce them by making the first numbers equal4 ,distances4 ,diameters4 ,the #b4eth power ,reduced of the ,distances4 ,diameters4 #a4dfag #gi4d #b4eh #b4eh #a4cbag #fd4h #b4aj #b4aj #j4iffh #bi4h #j4ib #j4ig #j4hdgc #ai4i #j4ff #j4fe #j4gbhe #aa4c #j4de #j4cg #j4edai #c4a #j4ba #j4aj ,this is a very close approximation1 when we consider the difficulty of micrometric measurement1 and the fact1 that as the comet gets nearer to the sun1 as at the last date of the table1 the diameter is more than proportionally diminished by the fainter nebulosity becoming invisible4 ,but1 there may be a reality in the discrepancy apparent at the last date1 as the comet was then very near the plane of the ecliptic1 and was1 consequently1 exposed to the more violent action of the radial stream4 ,to attempt to explain the modus agendi is1 perhaps1 premature4 ,our principal aim is to pioneer the way into the labyrinth1 and it is sufficient to connect this seeming anomaly with the same general law we have deduced from other phenomena4 ,still1 an explanation may be given in strict accordance with the general principles of the theory4 ,admitting the nucleus of a comet to be gaseous1 there is no difficulty about the solution4 ,according to ,sir ,john ,herschel1 stars of the smallest magnitude remain distinctly visible1 though covered by what appears the densest portion of their substances2 and since it is an observed fact1 that the large comets which have presented the appearance of a nucleus1 have yet exhibited no phases1 though we cannot doubt that they shine by the reflected solar light1 it follows that even these can only be regarded as great masses of thin vapor4 ,that comets shine solely by reflected solar light1 is a position that we shall presently question2 but that they are masses of vapor is too evident to dispute4 ,according to the same authority quoted above1 ,if the earth were reduced to the one thousandth part of its actual mass1 its coercive power over the atmosphere would be diminished in the same proportion1 and in consequence the latter would expand to a thousand times its actual bulk4 ,if this were so1 and comets composed of the elementary gases1 some of them would have very respectable masses1 as the nuclei are frequently not more than #e1jjj miles in diameter1 and consequently it becomes important to examine the principle4 ,from all experiments the density of an elastic fluid is directly as the compressing force2 and if a cylinder reached to the top of our atmosphere1 compressed by the gravitation of the earth1 considered equal at each end of the cylinder1 it would represent the actual compressing force to which it owes its density4 ,if the gravitation of the earth were diminished one thousand times this atmospheric column would expand one thousand times1#dd 7taking no account of the decrease of gravitation by increase of distance27 so that the diameter of the arial globe would be increased to #ajh1jjj miles1 taking the atmosphere at #ej miles4 ,but the mere increasing the bulk of the atmosphere #ajjj times would increase the diameter to little more than double4 ,even giving the correct expansion1 a comet's mass must be much greater than is generally supposed1 or the diameters of the nuclei would be greater if composed of any gas lighter than atmospheric air4 ,it is very improbable that a comet is composed of only one elementary gas1 and if of many1 their specific gravities will vary2 the lighter1 of course1 occupying the exterior layers4 ,with such a small mass1 therefore1 the upper portion of its atmosphere must be very attenuated4 ,now let us remember that the density of the ether at a comet's aphelion1 is greater than at the perihelion1 in the direct ratio of the square roots of the distances from the sun nearly4 ,at the aphelion the comet lingers through half his period1 giving ample time for the nucleus to be permeated by ether proportionally dense with the surrounding ether of the vortex at that distance4 ,thus situated1 the comet descends to its perihelion1 getting faster and faster into a medium far less dense1 and there must consequently be an escape from the nucleus1 or in common parlance1 the comet is positively electric4 ,this escaping ether1 in passing through the attenuated layers composing the surface of the nucleus1 impels the lighter atoms of cometic dust further from the centre1 and as for as this doubly attenuated atmosphere of isolated particles extends1 so far will the escaping ether be rendered luminous4 ,it may be objected here1 that a contrary effect ought to be produced when the comet is forsaking1 its perihelion2 but the objection is premature1 as the heat received from the sun will have the same effect in increasing the elasticity1 as change of density1 and the comet will probably part with its internal ether as long as it is visible to the earth2 and not fully regain it perhaps1 until after it arrives at its aphelion4 ,suppose that we admit that a comet continues to expand in the same ratio for all distances1 as is laid down for the comet of ,encke when near its perihelion2 it would follow1 that the comet of #ahaa1 would have a diameter at its aphelion of fifty millions of millions of miles1 that is1 its outside would extend one thousand times further from the sun1 at the opposite side to that occupied by the centre of the comet1 than the distance of the comet's centre from the sun1 at its enormous aphelion distance4 ,such an absurdity shows us that there is a limit of expansion due to natural causes1 and that if there were no radial stream the volume of a comet would be greatest when nearest the sun4 ,but while the comet is shortening its distance and hastening to the sun in the form of a huge globular mass of diffuse light1 it is continually encountering another force1 increasing in a far more rapid ratio than the law of gravitation4 ,at great distances from the sun1 the force of the radial stream was insufficient to detach any portion of the comet's atmosphere2 presently1 however1 the globular form is changed to an ellipsoid1 the radial stream begins to strip the comet of that doubly attenuated atmosphere of which we have spoken1 and the diameter of the comet is diminished1 merely because the luminosity of the escaping ether is terminated at the limit of that atmosphere4 ,meanwhile the mass of the comet has suffered only an infinitely small diminution2 but if the perihelion distance be small1 the force may become powerful enough to detach the heavier particles of the nucleus1 and thus a comet may suffer in mass by this denudating process4 ,we regard1 therefore1 the nucleus of a comet to represent the mass of the comet and the coma1 as auroral rays passing through a very attenuated envelope of detached particles4 ,the individual gravitating force of these particles to the comet's centre1 may be therefore considered as inversely as the squares of the distances1 and directly as the density of the particles2 and this density will1 according to analogical reasoning1 be as the distances or square roots of the distances2--grant the last ratio1 and the gravitating force of the particles composing the exterior envelope of a comet1 becomes inversely as the #b4eth power of the distances from the comet's centre4#de ,this being the law of the radial stream1 it follows1 of course1 that a comet's diameter is inversely as the force of the radial stream4 ,it must1 however1 be borne in mind1 that we are speaking of the atomic density1 and not of density by compression2 for this cometary dust1 which renders luminous the escaping ether of the nucleus1 must be far too much diffused to merit the name of an elastic fluid4 ,may not the concentric rings1 which were so conspicuous in the comet of #ahaa1 be owing to differences in the gravitating forces of such particles1 sifted1 as it were1 and thus arranged1 according to some ratio of the distances1 by the centripulsive force of the electric coma1 leaving vacant intervals1 through which the ether passed without becoming luminous8 ,this at least is the explanation given by our theory4 ,we may1 indeed1 consider it possible that the escaping ether1 when very intense1 might be rendered luminous by passing into the surrounding ether1 and1 as it became more diffused by radiation1 at last become invisible4 ,in this case1 as the law of radiation is as the squares of the distances from the centre inversely1 the rays would be more and more bent at right angles1 or apparently shortened1 as the power of the radial stream increased1 and the apparent diameters of the coma would be diminished faster than the ratio of the #b4eth power of the distances4 ,but whichever view we adopt1 the diameter would again increase in the same ratio on leaving the sun1 if we make allowance for increase of temperature1 as well as for diminution of density1 for the ordinary distance of a comet's visibility4 ,we1 however1 regard the change of diameter1 as due to both these nodes of action1 as best agreeing with the indications afforded by their tails4 ,from the preceding remarks1 it results that the density of the particles producing the nebulous envelope of a comet1 renders the variations of diameter only approximate to the law of the radial stream2 a comet's own electric energy1 or the intensity of the escaping ether1 may also modify this expression1 and many other causes may be suggested4 ,that the radial stream is the cause1 in the way we have pointed out1 is proved by the positions of the major axis of the short-period comet1 making frequently nearly a right angle with the radius vector of the orbit in #ahbh4 ,a soap bubble gently blown aside1 without detaching it from the pipe1 will afford a good illustration of the mode1 and a confirmation of the cause4 ,the angles measured by ,struve1 reckoned from the radius vector1 prolonged towards the sun1 are subjoined3 ,november #g #ii4g ,december #g #aed4j ,november #cj #ade 4#c ,december #ad #adi 4#d ,at this last date1 the comet was getting pretty close to the sun4 ,when the angle was greater1 as on ,november #gth1 the comet appeared to make almost a right angle with the radius vector2 and in this position of the earth and comet1 the longer axis of the elliptical comet was directed to the axis of the vortex1 as may be verified by experiment4 ,at the later dates1 the comet was more rapidly descending1 and1 at the same time1 the axis of the comet was getting more directed towards the earth2 so that the angle increased between this axis and the radius vector1 and consequently became more coincident with it4 ,we have now to consider the luminous appendage of a comet1 commonly called a tail4 ,the various theories hitherto proposed to account for this appendage are liable to grave objections4 ,that it is not refracted light needs not a word of comment4 ,newton supposes the tail to partake of the nature of vapor1 rising from the sun by its extreme levity1 as smoke in a chimney1 and rendered visible by the reflected light of the sun4 ,but1 how vapor should rise towards opposition in a vacuum1 is utterly inexplicable4 ,in speaking of the greater number of comets near the sun than on the opposite side1 he observes3 ,hinc etiam manifestum est quod cli resistenti destituuntur4#df ,and again1 in another place1 speaking of the tail moving with the same velocity of the comet1 he says3 ,et hinc rursus colligitur spatia clestia vi resistendi destitui2 utpote in quibus non solum solida planetarum et cometarum corpora1 sed etiam rarissimi candarum vapores motus suos velocissimos liberrim peragunt ac diutissim conservant4 ,on what principle1 therefore1 ,newton relied to cause the vapors to ascend1 does not appear4 ,hydrogen rises in our atmosphere because specifically lighter4 ,if there were no atmosphere1 hydrogen would not rise1 but merely expand on all sides4 ,but1 a comet's tail shoots off into space in a straight line of one hundred millions of miles1 and frequently as much as ten millions of miles in a single day1 as in the case of the comet of #ahdc4 ,sir ,john ,herschel observes1 that no rational or even plausible account has yet been rendered of those immensely luminous appendages which they bear about with them1 and which are known as their tails4 ,yet1 he believes1 and astronomers generally believe1 that a comet shines by reflected light4 ,this theory of reflexion is the incubus which clogs the question with such formidable difficulties2 for1 it follows1 that the reflecting matter must come from the comet4 ,but1 what wonderful elements must a comet be made of1 to project themselves into space with such immense velocity1 and in such enormous quantities as to exceed in volume the body from which they emanate many millions of times4 ,this theory may be1 therefore1 safely rejected4 ,from what we have already advanced concerning the coma or nebulosity of the comet1 we pass by an easy path to an explanation of the tail4 ,in the short-period comets1 the density of the elementary atoms is too great to be detached in the gross from the nucleus1 or1 rather1 the density of the atoms composing the nucleus is too great to permit the radiating stream of the comet carrying them to a sufficient distance to be detached by the radial stream of the sun4 ,hence1 these comets exhibit but very little tails4 ,we may also conceive1 that the continual siftings which the nucleus undergoes at each successive perihelion passage1 have left but little of those lighter elements in comets whose mean distances are so small4 ,yet1 again1 if by any chance the eccentricity is increased1 there are two causes--the density of the ether1 and the heat of the sun--which may make a comet assume quite an imposing appearance when apparently reduced to the comparatively passive state above mentioned4 ,according to our theory1 then1 the coma of a comet is due to the elasticity of the ethereal medium within the nucleus1 caused both by the diminished pressure of the external ether near the sun1 and also by the increased temperature acting on the nucleus1 and thus on the involved ether4 ,the tail1 on the contrary1 is caused by the lighter particles of the comet's attenuated atmosphere being blown off by the electric blast of the radial stream of the solar vortex1 in sufficient quantities to render its passage visible4 ,it is not1 therefore1 reflected light1 but an ethereal stream rendered luminous by this detached matter still held in check by the gravitating force of the sun1 whose centre each particle still respects1 and endeavors to describe such an orbit as results from its own atomic density1 and the resultant action of both the acting forces4 ,from the law of density of the ether1 the coma ought to be brightest and the radiating stream of the comet's nucleus strongest on the side of least pressure3 from this cause1 and the fact that the body of the comet affords a certain protection to the particles immediately behind it1 there will be an interval between the comet and the tail less luminous1 as is almost invariably observed4 ,we thus have an explanation of the fact noticed by ,sir ,john ,herschel1 that the structure of a comet1 as seen in section in the direction of its length1 must be that of a hollow envelope of a parabolic form1 enclosing near its vertex the nucleus or head4 ,we have1 also1 a satisfactory explanation of the rapid formation of the tail2 of its being wider and fainter at its extremity2 of its occasional curvature2 and of its greater length after perihelion than before4 ,but1 more especially may we point to the explanation which this theory gives of the fact1 that1 ceteris paribus1 the long-period comets1 when their perihelion distances are small1 have tails of such exaggerated dimensions4 ,a comet1 whose mean distance is considerable1 is supposed by the theory to be composed of elements less dense1 and1 during its long sojourn at its aphelion1 it may be also supposed that it there receives continual accessions to its volume from the diffused siftings of the system1 and from the scattered debris of other comets4 ,on approaching the perihelion1 the rapidity of the change in the density of the ether in a given time1 depends on the eccentricity of the orbit1 and so does the change of temperature2 so that1 from both causes1 both the length of the tail and the brilliancy of the comet measurably depends on the magnitude of the period and of the eccentricity4 ,if the nuclei of comets be gaseous as we suppose1 and that the smallest stars are visible through them1 it is an outrage on common sense1 to refer that light1 which renders a comet visible at noon-day1 within six minutes of space of the sun itself1 to the reflected light of the sun4 ,when a small star has been seen through the nucleus of a comet1 without any perceptible diminution of light1 it indicates perfect transparency2 but there can be no reflection from a perfectly transparent body1 and therefore1 a comet does not shine by reflected light4 ,it is true that ,arago discovered traces of polarized light in the comet of #ahai1 and also in more recent comets1 but they are mere traces1 and ,arago himself admits1 that they do not permit the conclusion decidedly that these stars shine only with a borrowed light4 ,but it still does not follow that a comet 7even if independent of reflected light7 is in an incandescent state4 ,the auroral light is not polarized1 nor any other electric light1 neither is it owing to a state of incandescence1 yet it is luminous4 ,the intense light of a comet at perihelion is analogous to the charcoal points of a galvanic battery1 caused by a rapid current of ether from the nucleus1 and assisted by the radial stream of the vortex4 ,this will account for the phenomenon in all its shades of intensity1 as well as for the absence of any perceptible phase4 ,it will also account for the non-combustion of such comets as those of the years #afhj and #ahdc4 ,we shall also be at no loss to understand1 why there is no refraction when a ray of light from a star passes through the nebulosity of a comet2 and if1 as we may reasonably suppose1 the gaseous matter composing the nucleus be very attenuated1 instruments are yet too imperfect to determine whether these also have any refracting power4 ,on this point1 however1 it is safest to suspend our judgment1 as there may be comets not belonging to our system1 with even liquid or solid nuclei1 or of matter widely different to those elements composing the members of the solar system4 ,in addition to what has been already advanced on this subject of a comet's light1 we may appeal to the well-known fact that the visibility of a comet is not reciprocally as the squares of the distances from the earth and sun as it ought to be1 if shining by reflected light4 ,in ,mr4 ,hind's late work on comets1 the fact is stated that ,dr4 ,olbers found that the comet of #aghj attained its greatest brightness on the #hth of ,november1 thirteen days subsequent to its discovery1 whereas according to the law of reflected light1 it should have become gradually fainter from the day of its discovery2 and supposing the comet self-luminous1 the intensity of light should have increased each day until ,november #bfth2 yet in the interval between the #hth and #bfth of that month1 it grew rapidly less4 ,now this theory teaches1 that a comet is neither self-luminous nor dependent on the sun1 but on its distance from the axis of the vortex1 and a certain amount of elapsed time from the perihelion1 varying somewhat in each particular case4 ,this fact is therefore a very strong argument in favor of our theory4 ,amidst the many anomalous peculiarities of comets1 it has been noticed that a short tail is sometimes seen at right angles to the principal tail1 and in a few cases pointing directly towards the sun4 ,much of this may be owing to perspective1 but granting the reality of the fact1 it is still explicable on the same general principles4 ,in speaking of the modifying causes which influence the weather1 we mentioned the effect due to the position of the sun with respect to the axis of the vortex4 ,this will be found to have a sensible effect on the action of the radial stream4 ,the natural direction of a comet's electric stream is towards the axis of the vortex1 and in the central plane of the vortex it will be also towards the sun4 ,but this stream is met by the stronger radial stream from the axis1 and as ,mr4 ,hind describes it1 is driven backward in two streams passing on either side of the head1 and ultimately blending into one to form the tail4 ,now1 if the body of the sun be situated between the comet and the axis of the vortex1 it will shield the comet from the action of the radial stream1 and thus a tail may really point towards the sun4 ,in #agdd a brilliant comet exhibited six distinct tails spread out like a fan1 some seven days after its perihelion passage2 its distance from the sun at the time not being more than a third of the earth's distance4 ,the comet was then rapidly approaching the plane of the ecliptic1 and if we make the calculation for the position of the sun1 we shall find that the body of the sun was on the same side of the axis of the vortex as the comet1 and that the comet was then situated at the boundaries of the conical space1 enclosed by the radial stream in its deflected passage round the body of the sun4 ,in this position there are numerous cross currents of the stream1 and hence the phenomenon in question4 ,as this fact rests on the testimony of one individual1 and is an occurrence never recorded before or since1 many are disposed to doubt the fact1 yet our theory explains even this peculiarity1 and shows that there is no necessity for impugning the statement of ,cheseaux4 ,another unexplained phenomenon is the corruscation of the tail4 ,it has been attempted to explode this fact also1 by referring it to conditions of our own atmosphere2 and it is generally considered the argument of ,olbers1 founded on the great length of the tail and the velocity of light1 is sufficient to prove that these corruscations are not actually in the tail4 ,now1 it is undoubtedly true1 that as light travels less than two hundred thousand miles in a second1 and a comet's tail is frequently one hundred millions long1 it is impossible to see an instantaneous motion along the whole line of the tail2 but granting that there are such flickerings in the tail as are described by so many1 it must necessarily be1 that these flickerings will be visible4 ,it would be wonderful indeed1 if a series of waves passing from the comet to the extremity of the tail1 should have their phases so exactly harmonizing with their respective distances as to produce a uniform steady light from a light in rapid motion4 ,the argument1 therefore1 proves too much1 and as it is in the very nature of electric light thus to corruscate1 as we see frequently in the northern lights1 we must be permitted still to believe that not only the tails1 but also the heads of comets do really corruscate as described4 ,with respect to the direction of the tail1 astronomers have been forced to abandon the antiquated notion1 that the tail always pointed directly from the sun2 yet they still pertinaciously cling to the idea1 that although this is not always the case1 the tail only deviates from this direction in the plane of the orbit4 ,as this is a most important question1 it is necessary formally to protest against such a conclusion4 ,if the earth should happen to be in the plane of the comet's orbit and the tail appears in that plane1 it must of course be in that plane really2 but if the earth is not in the plane of the comet's orbit1 the tail is not necessarily in the same plane1 whatever its apparent direction may indicate4 ,it is true there is a tendency of every particle of the tail1 moving under the restraining influence of the sun's attraction1 to continue in the plane of the orbit2 and in certain positions there is no oblique action arising from the force of the radial stream to cause it to deviate from that plane2 yet in other positions of the comet1 the action of the radial stream may be oblique1 forcing it out of that plane1 and still such a direction might be assigned to it as to make it conform4 ,in the comet of #ahdc1 ,p4 ,smythe observed a forked tail #be long on ,march #c;d1 and from the end of the forked tail1 and from its north side1 a streamer diverged at an angle of #f or #g to the north4 ,as this was contrary to the direction of the curvature1 if the tail had been curved1 it could only arise from a portion being driven off by the radial stream1 or bent towards the plane of the ecliptic4 ,the curvature observed by others at a later date1 was concave to the south4 ,towards the middle and close of ,march1 the tail became straight1 and with the above exception1 might be considered to move in the plane of the orbit4 ,the celebrated comet of ,halley1 as observed by ,dr4 ,bessel in #ahce1 showed that a more or less well-defined tuft of rays emanated from that part of the nucleus which was turned towards the sun2 and the rays being bent backward formed a part of the tail4 ,the nucleus1 with its emanations1 presented the appearance of a burning rocket1 the end of which was turned sideways by the force of the wind4 ,and1 ,bessel concludes3 ,that the cone of light issuing from the comet deviated considerably both to the right and left of the true direction of the sun1 but that it always returned to that direction1 and passed over to the opposite side2 so that the cone of light1 and the body of the comet from whence it emanated1 experienced a rotatory1 or1 rather1 a vibrating motion in the plane of the orbit4 ,it is impossible that ,bessel should here mean that this motion was certainly in the plane of the orbit2 for the orbit was then viewed sideways1 and he had no means of ascertaining the fact4 ,his meaning must be that it was apparently in the plane of the orbit4 ,if a plane be made to pass through the earth1 the comet1 and the sun1 the tail might be placed in any position in that plane1 and yet appear to be at the intersection of the two2 that is1 in the plane of the comet's orbit4 ,the vibration of the tail1 in this case1 is another strong proof of the correctness of our theory4 ,to make it more intelligible1 we shall resort to a diagram4 ,in the following diagram1 the comet's orbit1 represented by the dotted line1 is drawn on the plane of the ecliptic2 it is1 therefore1 necessary to bear in mind1 that it is tilted up from the line of nodes ,,sn1 at an angle of #ag #de4 ,the position of the comet1 ,october #ith1 is at ,c1 approaching its perihelion2 that of the earth at the same time at ,t2 while ,s represents the sun1 and ,,sq the line of equinoxes4 ,now1 from a cause already explained1 the tail always tends to lay behind the comet1 in the direction indicated by the lower tail in the diagram at #a1 and1 if produced1 would pass to the left of the sun1 as seen from the earth3 the force of the radial stream1 however1 will not allow this lagging of the tail1 and it is straightened out by this force2 but1 being directed to the axis of the vortex1 and not to the sun1 it is not really in the plane of the orbit1 but is seen in the direction of the upper tail depicted in the diagram at #c1 and1 if produced1 would pass to the right of the sun1 as seen from ,t4 ,now1 there is an intermediate position of the tail1 in which it will appear in the prolongation of the radius vector ,,sc2 this position is represented by the middle or central tail of the comet at #b1 yet this is not in the plane of the orbit1 it only appears to be1 as may be readily understood by remembering that the earth at this time is under this plane1 and the comet is seen at a considerable elevation above the plane of the ecliptic4 ,when the comet's tail becomes directed to the axis of the vortex1 or in the apparent position of ,no4 #c1 the comet1 rapidly careering on its way to the sun1 again leaves the tail behind1 and again it is strengthened out by the radial stream oscillating about the mean position at #b1 as observed by ,bessel4 ,from this1 it appears1 that there is no necessity to make confusion worse confounded1 by resorting to polar forces1 which are about as intelligible as the foundations of the pillars of ,atlas4 ,illustration3 ,fig4 #be ,it may be objected that the continued action of the radial stream with that velocity we have contended for1 ought to keep the tail invariably directed from the axis of the vortex2 but1 where there are two forces or tendencies1 as in this case1 analogy would teach us that a certain degree of oscillation is a necessary result4 ,there may1 also1 be slight and transient changes in the direction of the radial stream4 ,in the hurricane there are short and fitful blasts inclined to the general direction of the wind1 which must arise from the inertia of the moving mass of atmosphere1 causing temporary condensations and rarefactions4 ,be this as it may1 we have assigned a cause which satisfies the phenomenon1 without coming into collision with a single principle of celestial mechanics4 ,prof4 ,struve compared the tail of this comet to a flame1 or ray of fire shot out from the nucleus1 as from some engine of artillery1 and driven on one side by the wind4 ,at the same time1 he saw a second emanation nearly in the opposite direction4 ,this last might arise from a momentary fluctuation in the relative intensities of the electric radiation of the comet1 and of the radial stream1 owing to the probable irregularities just alluded to4 ,such and kindred phenomena are utterly inexplicable1 without we adopt the theory we are advocating4 ,one other feature1 and we will leave the subject4 ,from our explanation of the solar spots1 we inferred the existence of another large planet in the system4 ,might not the same effect be produced by a comet8 ,or may there not be so many comets1 whose great elongation1 combined with even a moderate mass1 may render it impossible to calculate the position of the sun with respect to the central axis of the vortex1--always considering this last as the axis of equilibrium8 ,in a general way1 we might say that the very number of comets in all directions and all distances1 would tend to neutralize each other's effects2 but we are not under this necessity4 ,a comet1 moving in a parabola1 does not belong to the system or to the rotating vortex2 and the periodic comets1 if of gaseous elements1 7as seems so probable17 must1 from the size of their nuclei1 which the theory considers the only part constituting their mass1 have far less mass than the very smallest of the asteroids1 and consequently could have very little effect on the mechanical balance of the vortex1 even if elongated as far as the orbit of ,neptune4 ,did we know the influence of cold in limiting the expansibility of the elementary gases1 we might approximately determine the mass of a comet1 from the size of its nucleus2 but this is a problem that has never yet been solved2 and astronomers ought to avail themselves of every indication which promises to realize this great desideratum4 ,the grand comet of #aeef is now probably approaching1 and1 from recent investigations1 it appears that it will arrive at its perihelion in #aheh1--subject to an error either way of about two years4 ,an opportunity may thus be presented of determining the mass of one of the largest comets on record1 which may not again occur4 ,this arises from the possible appulse of the comet to the planet ,pallas1 whose mass1 being so small1 would more sensibly be disturbed by such an appulse than the earth4 ,as the inclinations and ascending nodes of the two orbits approximately coincide1 and as ,pallas will be near the comet's path1 on the approach of the latter to the sun1 at the beginning of the year #aheg1 should the comet become visible about that time1 a very close appulse is possible4 ,it is not unlikely1 also1 that if the elements of ,pallas were so far perfected as to afford reliable indications1 that the near approach of the comet might thus be heralded in advance1 and lead to an earlier detection of its presence4 ,would it not be a worthy contribution to science1 for some one possessing the necessary leisure1 to give an ephemeris of the planet for that epoch2 as a very slight change in ,mr4 ,hind's elements of the comet1 would cause an actual intersection of the two orbits in about heliocentric longitude #aec8 ,the subsequent nodal passage of ,pallas will take place near opposition1 and be very favorably situated for determining the instant of its passage2 and1 of all the elements1 this would be more likely to be affected than any other4#dg ,,the ,,zodial ,,light4 ,a phenomenon1 akin to that which we have just been considering1 is presented by that great cone of diffused light which accompanies the sun1 and which in tropical climes displays a brilliancy seldom witnessed in high latitudes1 on account of its greater deviation from the perpendicular4 ,sir ,john ,herschel conjectures that it may be no other than the denser part of that medium1 which1 as we have reason to believe1 resists the motion1 of comets1--loaded1 perhaps1 with the actual materials of the tails of millions of those bodies1 of which they have been stripped in their successive perihelion passages1 and which may be slowly subsiding into the sun4 ,if these materials have been stripped1 it is due to some force2 and the same force would scarcely permit them to subside into the sun4 ,once stripped1 these portions must be borne outwards1 by the radial stream1 to the outer verge of the system4 ,still1 there are1 no doubt1 denser particles of matter1 of the average atomic density of ,mercury and ,venus1 which can maintain their ground against the radial stream1 and continue to circulate near the central plane of the vortex1 in all that space between the earth and the sun4 ,but if the zodial light be the denser part of that medium1 which astronomers now generally recognize as a resisting medium1 how happens it that it should be confined to the plane of the ecliptic8 ,why should it not be a globular atmosphere8 ,here1 again1 our theory steps in with a triumphant explanation2 for while it permits the accumulation of such particles around the equatorial plane of the sun1 it allows no resting-place very far removed from this plane4 ,the zodial light1 therefore1 is not the resisting medium1 but the passage of the radial stream through a diffuse nebula of atoms1 brought down the poles of the vortex by the polar current1 and held in check along the central plane by gravitation4 ,if these atoms partook of the velocity of the ether1 they would not be luminous2 but being held back by gravitation1 they are opposed to the radial stream1 and hence the light4 ,many stars are also nebulous4 ,in some cases we see the nebulosity edgewise1 or along the equatorial planes of the stellar vortices2 in others we look down the poles1 and the nebulosities are circular1 and there is an endless variety in the shape and intensity of this light4 ,but the universe seems full of motion1 and we are not justified in supposing1 because a star shows no such light1 that it is without rotation4 ,the parallax of the nearest star is only one second1 the whole lenticular mass of light which surrounds our sun would therefore only subtend an angle of a single second at the nearest fixed star4 ,seeing its extreme faintness1 therefore1 the effulgence of the star would render it totally invisible1 provided that it could traverse the vast immensity of intervening space1 without feeling the influence of that extinction1 which ,struve has proved does actually diminish the number of visible stars4 ,corruscations and flickerings have also been noticed in the zodial light1 and as usual1 the learned have suggested atmospheric conditions as the cause1 instead of trusting to the evidence of their own senses4 ,how prone is philosophy to cling to that which is enveloped in the mist of uncertainty1 rather than embrace the too simple indications of nature4 ,as if ,god had only intended her glories to be revealed to a favored few1 and not to mankind at large4 ,blessed will be the day when all will appreciate their own powers and privileges1 and no longer regard the oracles which emanate from a professional priesthood1 whose dicta have so often tended to darken the simple counsels of truth6 ,to set the question of pulsations in the zodial light1 as well as in the tails of comets1 at rest1 only requires previously concerted observations1 in places not very widely apart2 for it is scarcely possible1 that atmospheric conditions should produce simultaneous pulsations in two distant places4 ,if the pulsations are found to be simultaneous1 they are real2 if not simultaneous1 they may depend on such conditions2 but from the nature of the cause1 we should look for them as much in the zodial light1 as in the aurora borealis1 regarding the different intensities4 ,there is also reason to suspect that the northern side is always the brightest1 both in spring and autumn4 ,on the morning of ,october #dth1 #ahec1 the light was very vivid and well defined1 its northern margin grazing ,regulus and terminating at ,mars1 which was also to the north of it4 ,now1 although the northern side was the brightest1 the great mass of light was to the south of the ecliptic1 as far down as the cone shape was preserved2 but at #aj from the horizon1 a still brighter mass protruded from the cone towards the north1 which was all north of the ecliptic1 and of an irregular form1 extending along the horizon4 ,the time was #d ,a4,m41 and consequently was not due to any crepuscular light4 ,an explanation of the general fact of the brightest light being always on the north side1 is given in the present section1 in connection with another phenomenon4 ,if1 as some suppose1 the light does not reach to the sun1 the annulus must at least fill all the space between ,venus and the earth1 but it is far more in accordance with facts as well as with our theory1 to suppose it increases in density to the body of the sun4 ,observations made at the observatory of the ,british ,association1 detected1 in #ahej1 sudden brightenings of the light1 altogether different from pulsations4 ,the theory would refer these to that fitful irregularity in the momentary intensity of the radial stream1 which gives the flickering and tremulous motion to comets' tails4 ,but1 the steady variations in the intensity of this light must be due to other causes4 ,the longitude of the sun will here come in as a modifying cause2 for the obstruction caused by the body of the sun1 when displaced from the axis of the vortex1 must necessarily exercise an influence on the force and direction of the radial stream4 ,a sudden influx of cometary matter down the poles of the vortex1 in more than usual quantities1 will also tend to brighten and enlarge the zodial light2 and1 in this last cause1 we have an explanation not only of ancient obscurations of the solar light1 but1 also1 of those phosphorescent mists1 such as occurred in #agdc and #ahca1 rendering moonless nights so light that the smallest print could be read at midnight4 ,in total eclipses of the sun1 the denser portion of the zodial light is visible as a brilliant corona2 but1 on such occasions1 the brightest stars only are to be seen1 and1 consequently1 the fainter portions of the light must be invisible4 ,hind mentions as many as ten stars visible in the total eclipse of #ahdb4 ,according to the same authority1 the color of the corona was like tarnished silver1 and rays of light diverged in every direction1 and appeared shining through the light of the corona in the total eclipse of #ahea4 ,in this year on the day of the eclipse 7,july #bhth71 the longitude of the sun was about #cdj1 and1 therefore1 the body of the sun obstructed the radial stream as seen from the earth on the right side2 but1 in #ahdb1 the longitude of the sun was1 according to our table1 about #aaf1 the sun's centre then being #gjj1jjj miles from the axis of the vortex1 and on the opposite side with respect to the earth2 the position was1 therefore1 not so favorable for the appearance of these rays which1 in many cases1 have given the appearance of a whirling motion to the corona4 ,at this date1 ,july #gth1 #ahdb1 the corona1 according to ,prof4 ,airy1 possibly had a somewhat radial appearance1 but not sufficiently marked to interfere with the general annular structure4 ,mr4 ,baily1 on the contrary1 says1 the corona had the appearance of brilliant rays2 and1 at ,milan1 long jets of light were particularly noticed4 ,there can be no doubt but that the passage of the radial stream past the outer margin of the moon must also give rise to the same phenomena as when passing the sun1 and in this we have an explanation of the fact1 that1 previous to the moment of first contact1 an appearance resembling a faintly-illuminated limb of the moon1 has been perceived near the body of the sun2 as well as of those flashes of light which have been observed in the lunar disc as the eclipse advances4 ,one important fact1 worthy of note1 is1 that these luminous streaks are more nearly parallel than is due to a radiation from the centre4 ,these streaks have1 also1 been seen bent at right angles at the middle of their height1 as a flame is by means of a blowpipe1 precisely analogous to cometary rays being driven backwards to form the tail1 as already described1 thus indicating a common origin4 ,if the moon had an atmosphere1 we should1 no doubt1 see a greater display2 but1 having no rotating vortex to protect her from the radial stream1 her atmosphere must have been long since stripped off1 leaving her exposed to the withering winter blast of the great stream of the solar vortex4 ,in this connection1 we may also allude to the appearance of the moon when totally eclipsed4 ,instead of disappearing at these times1 she sometimes shines bright enough to reveal her smallest spots4 ,this has been generally referred to the refraction of the earth's atmosphere bending inwards the solar rays4 ,may it not be owing to the brilliancy of the solar corona1 which1 in #ahdb1 was described as so intense that the eye was scarcely able to support it8 ,this is a far more palpable cause for the production of this phenomenon1 but of which astronomers cannot avail themselves1 as long as they are uncertain of the origin of this corona4 ,,shooting ,,stars4 ,the continual influx of cosmical matter into the heart of the vortex in ever-varying quantities1 and speedily dispersed along the central plane1 according to its density1 must necessarily give rise to another phenomenon to which we have not yet alluded4 ,scarcely a night passes without exhibiting this phenomena in some degree1 and it is generally supposed that the hourly average of shooting stars is from five to ten1 taking the whole year round4 ,the matter composing these meteors we regard as identical with that mass of diffused atoms which forms a stratum conforming to the central plane of the vortex1 and whose partial resistance to the radial stream occasions that luminosity which we call the zodial light4 ,these atoms may coalesce into spherical aggregations1 either as elastic gas1 or as planetary dust1 and1 passing outward on the radial stream1 will occasionally become involved in the vortex of our own globe2 and being drawn inwards by the polar current1 and acted on by the earth's gravity1 be impelled with great velocity through the rarefied air of the upper atmosphere4 ,that meteors are more abundant about the time of meridian passage of a vortex 7or1 perhaps1 more correctly speaking1 from six to twelve hours afterwards1 when the current of restoration penetrates the atmosphere71 well accords with the author's observations4 ,it is about this time that high winds may be looked for1 according to the theory2 and it has ever been a popular opinion1 that these meteors are a sign of windy weather4 ,even in ,virgil's time1 the same belief prevailed1 as a passage in his ,georgics would seem to indicate4 ,sape etiam stellas1 vento impendente1 videbis ,prcipites clo labi2 noctisque per umbram ,flammarum longos tergo albescere tractus2 ,virgil was a close observer of nature1 and commences a storm with the wind at south1 ,quo signo caderent ,austri2 just as we have represented the usual course when these vortices pass near the observer's latitude4 ,it is also a well-known fact1 that after a display of meteors1 7and we are now speaking of ordinary displays1 and not of the great showers17 the temperature falls considerably4 ,it is not uncommon also1 that meteors are more abundant during an auroral display1 as they ought to be by the theory4 ,we must1 however1 exempt from this influence those solid meteors which sometimes come into collision with the earth1 and afterwards grace the cabinets of the curious4 ,these bodies may be considered microscopic planets1 moving in stated orbits with planetary velocity1 and bear strongly on the explosive theory of ,olbers1 as fully detailed by ,sir ,david ,brewster4 ,it is a very remarkable fact1 first noticed by ,olbers1 that no fossil meteoric stones have yet been discovered4 ,if this fact be coupled with the hypothesis advanced by ,olbers1 in reference to the origin of the asteroidal group1 we should have to date that tremendous catastrophe since the deposition of our tertiary formations1 and therefore it might possibly be subsequent to the introduction of the present race into the world4 ,may not some of the legendary myths of the ancient world as mystified by the ,greeks1 have for a foundation the disappearance of a former great planet from the system8 ,the idea of the existence of seven planets is one of the oldest records of antiquity2 but the earth of course would not be counted one1 and therefore in after times1 the sun was included to make up the number2 just as the signs of the ,zodiac have been explained in accordance with the seasons of far later times than we can possibly assign for the invention of this division of the heavens4 ,let those who have the leisure1 try how far the contraction and dilation of the asteroidal orbits1 to some average mean distance1 will restore them to a common intersection or node1 as the point of divergence of the different fragments4 ,the question is interesting in many of its aspects1 and may yet be satisfactorily answered4 ,the composition of arolites may also be taken as indications of the common origin and elementary texture of the planets1 whether they are independently formed or have originally pertained to a former planet2 for no hypothesis of telluric or selenic origin yet advanced1 can stand against the weight of evidence against it4 ,their fragmentary character rather favors the views of ,sir ,david ,brewster1 and when we consider that they have been revolving for thousands of years with planetary velocity1 and in very eccentric orbits1 through the ether of space1 continually scathed by the electric blast of the radial stream1 their rounded angles1 and black glossy crust of an apparently fused envelope1 may be accounted for1 without difficulty1 from the non-vitrified appearance of the interior4 ,the composition of arolites as far as known1 embrace nearly one-third of all known simple substances according to ,humboldt1 and are as follows3 iron1 nickel1 cobalt1 manganese1 chromium1 copper1 arsenic1 zinc1 potash1 soda1 sulphur1 phosphorus1 and carbon4 ,the theory we have thus given of the common occurrence of shooting stars1 will render a satisfactory general account of their sporadic appearance2 but there are other phenomena of greater interest1 viz43 the occasional recurrence of swarms of such meteors1 which defy all numerical estimates1 being more like a fiery rain than anything they can be compared to4 ,the most interesting feature of this phenomena1 is the apparent periodicity of their return4 ,in the following table we have set down the most remarkable epochs mentioned by ,humboldt1 7and no man has devoted more attention to the subject17 as worthy of notice3 ,about ,april #bb to #be ,july #ag to #bf ,august #i to #aa ,november #ab to #ad ,november #bg to #bi ,december #f to #ab ,besides these1 he mentions two showers1 from ,arabian authority1 in ,october2 one in ,october1 observed in ,bohemia2 one observed by himself1 in the ,pacific1 on ,march #ae2 one ,february #d1 just preceding the terrible earthquake of ,riobamba1 in #agig4 ,the ,chinese annals also contain many showers of stars1 before the present era commenced4 ,some were in ,march1 more in ,july1 and others in different months4 ,how1 then1 in view of these numerous dates1 can we attach so much importance to the periodicity of these showers8 ,the great shower of #ahcc1 in the ,united ,states1 on the #abth and #acth of ,november1 brought to mind the great shower at ,cumana1 observed by ,humboldt and ,bonpland just thirty-three years before1 to a day2 and it must be confessed that more than ordinary displays have been seen on this date4 ,yet1 on the strength of this1 every meteoric shower is supposed to be periodical1 and has resulted in a theory which becomes more complicated as the phenomenon is more observed1 and can never lead to any useful and practical results4 ,to cite the numerous instances of discrepant results1 would only encumber this brief notice with facts neither interesting to the general reader1 nor convincing to those who hold a contrary opinion4 ,the author of these pages has watched for many years1 and1 in view of all the facts1 has concluded that the doctrine of periodicity 7as held by present meteorologists7 is not tenable4 ,the celebrated ,august shower failed1 also1 this year1 at least in this place1 as for four hours each night1 on the #ith1 #ajth1 and #aath1 there were fewer bright meteors than at the close of ,july4 ,professor ,olmsted1 who has paid considerable attention to the subject1 has indeed attempted to connect the great ,november shower with the zodial light1 which last he considers a nebulous body1 of an elongated form1 whose external portions1 at this time of the year1 lie across the earth's path4 7,see ,silliman's ,journal for #ahcg1 vol4 xxxiii4 ,no4 #b1 p4 #cib47 ,he even gives its periods1 7about six months17 the aphelion of the orbit being near the earth's orbit1 and the perihelion within ,mercury's4 ,in this way he attempts to explain both phenomena2 but as the zodial light is seen unchanged all the year round in tropical latitudes1 it is not the kind of body supposed by ,olmsted1 and the theory adds nothing to our knowledge4 ,others have imagined rings of nebulous matter1 in which all the separate parts are moving in the same orbit around the sun1 with a retrograde motion1 and this1 with some modifications1 is the current theory of the day4 ,the principal arguments rested on1 for the support of this view1 are derived from the great shower of #ahcc1 in which a common radiant point was observed1 and confirmed subsequently by the radiant of other years1 in the same month of ,november4 ,as this point is almost tangential to the earth's orbit at this season1 the earth meets the nebulous ring moving in the contrary direction1 and thus confers on these meteors the necessary velocity that is thought to be demanded by observation4 ,now1 our theory gives a totally different explanation of the phenomenon4 ,we contend that a retrograde motion of such a nebulous mass1 is subversive of our whole theory2 and we must be permitted to examine certain points1 hitherto disregarded by those entertaining antagonist views4 ,it is supposed that the meteors in #ahcc fell for eight or nine hours4 ,the orbital velocity of the earth is more than #a1jjj miles per minute1 and the orbital velocity of the nebulous zone must have had a similar velocity4 ,during the nine hours of meteoric display1 therefore1 the earth traversed #ejj1jjj miles of her orbit1 which would give #a1jjj1jjj miles for the depth of the nebulous stratum4 ,but if of such vast extent1 how happened it that the only part of the earth in which these were visible in great density1 was the ,united ,states1 or a space embraced between the latitudes of #ej and #bj north1 and the longitudes #fj and #ajj west1 7and these are the widest limits17 comprising only #a_/dj of the surface of the globe8 ,to a calm inquirer1 this difficulty seems insurmountable4 ,the author was then in the ,mediterranean1 on deck the greatest part of the night1--the weather fine1 and nothing unusual visible in the heavens2 from other sources he has also derived similar information4 ,yet1 were the earth then passing through a stratum of meteors #a1jjj1jjj miles in extent1 it is utterly inconceivable that other portions of the earth escaped4 ,much stress is also laid on the fact that these meteors in #ahcc1 passed from east to west generally1 as they ought to do1 if tangential to the earth in her orbit2 but on the same phenomenon occurring in #agii1 when the earth was in precisely the same part of her orbit1 ,humboldt says distinctly1 the direction 7of the meteors7 was very regular from north to south4 ,how could this possibly happen1 and at the same time be moving tangentially to the orbit8 ,there is also another fact of importance not duly weighed in forming such a theory4 ,in #ahcc the meteors evidently differed in velocity2 one class1 consisting of luminous points1 passed like a shower of fire with great velocity to the westward1 another class were like large fire-balls with luminous trains moving with less rapidity1 while a third class consisted of nebulous patches which remained stationary for a long time1 and frequently emitting large streams of light4 ,these last1 at least1 do not deport themselves as planetary bodies moving #b1jjj miles per minute4 ,but the fact still remains1 that unusual displays have occurred about the #abth and #adth of ,november2 and also as a general thing when there are no unusual displays1 the meteors are more abundant about this time4 ,let us try if we can reconcile these facts with the theory of vortices4 ,we will first confine our remarks to the increased number of meteors about ,november #abth and #adth4 ,the cosmical matter composing the zodial light1 or at least the lighter parts of it1 is continually driven outwards by the radial stream1 just as the matter of a comet's tail is stripped from the nucleus4 ,this matter becomes involved in the terral vortex by descending the poles1 and is again passed out along the equatorial plane4 ,the form of the zodial light1 as seen edgewise1 gives a lenticular form for the stratum of planetary particles composing it1 and its central plane has been considered as coinciding with the plane of the sun's equator4 ,at the orbit of the earth1 this lenticular space is narrowed to a very thin stratum1 but undoubtedly reaches beyond the earth's orbit with a rapidly diminishing density4 ,as the axis of the sun is inclined about #g to the ecliptic1 and the ascending node is in the #bjth degree of ,gemini1 the earth can only pass through the plane of the sun's equator about the #abth of ,december and the #abth of ,june4 ,if1 therefore1 the central plane of the vortex coincides with the plane of the sun's equator1 meteors ought to be more numerous about the dates above mentioned4 ,but the observed times are on ,november #abth and #acth4 ,now1 from actual measurements1 a computation has been made by ,m4 ,houzeau1 that the elements of the zodial light are materially different from those of the sun's equator4 ,he fixes the node of the light 7according to ,mr4 ,hind7 in #b heliocentric longitude1 subject to an uncertainty of #ab or #ac1 and its inclination to the plane of the ecliptic1 #c #ce1 subject to an uncertainty of about #b4 ,the truth is1 astronomers have argued the coincidence of the two planes from considerations connecting the zodial light with the sun's equator1 as if it were a solar atmosphere2 but such an atmosphere is impossible1 and it is high time such measures should be taken as will lead to some certain conclusion4 ,if in the present state of the question1 we were to take the mean1 we should find the node in about longitude #dj1 which is the position of the earth on ,november #b;d4 ,but in the absence of measurements1 we will assume1 for the sake of argument1 that the ascending node of the central plane of the vortex was1 in #ahcc1 in #ej heliocentric longitude1 and consequently the earth was passing through the meteoric stratum or central plane of the zodial light1 on the night of ,november #abth4 ,the opposite period of the year is ,may #abth--a date1 it is true1 on which no great shower of stars is recorded1 but sporadic meteors are very plentiful at that time1 and what is more important to observe is1 that the #aath1 #abth1 and #acth of ,may1 are the three noted cold days which we have before mentioned4 ,thus truly indicating that the earth is then in or near the central plane of the vortex along which the radial stream is at its maximum of power at any given distance from the axis4 ,but the question occurs1 does the node of this plane remain stationary1 and is there no variation of the inclination of the axis of the solar vortex8 ,we have found from observation1 that the axis of the terral vortex is continually oscillating about a mean position by the action of the moon2 and reasoning from this analogy1 and the constant tendency of a material vortex to preserve a dynamical balance1 the same tendency must obtain in the solar vortex under the action of the great planets1 whose orbits do not coincide with the central plane of the vortex4 ,the ascending node of ,jupiter's orbit is in longitude #ih1 ,saturn's #aab1 ,uranus' #gb1 ,neptune's #aca2 so that this plane does not correspond with the plane of greatest inertia discovered by ,la ,place1 and from the non-coincidence of these planes with the central plane of the vortex1 must produce the same oscillation in the axis of the solar vortex1 as the moon does in the terral vortex1 but to what amount1 observation can alone determine4 ,jupiter and ,saturn will of course exert the greatest influence1 and when these two planets are in conjunction1 the ascending node of the central plane of the vortex will vary in longitude perhaps sufficiently to bring the meteoric maximum at the ascending node into ,october on the one hand1 and to the close of ,november on the other1 and at the descending node to ,april #beth on the one hand1 and the close of ,may on the other4 ,the great showers of stars which have been recorded1 must be therefore considered as an accidental exaggeration of a perennial phenomenon1 attaining its maximum when the earth passes through the central plane of the vortex1 whose ascending node in #ahcc we will suppose was in longitude #ej4 ,this theory will therefore account for those great showers which have occurred about the #bdth of ,april1 as well as those occurring in ,october and ,november2 for it is far more consonant to all analogy1 to suppose the influx of planetary atoms into the solar vortex to be in irregular1 than in regular quantities4 ,yet1 whether in the one case or in the other1 the matter will pass along the central plane of the vortex1 either diffusely scattered or in denser clouds1 and will be encountered by the earth when near the nodes more frequently than at other times4 ,the phenomenon of #ahcc1 may then be attributed to the earth encountering an unformed comet on the #abth of ,november2 but we must reflect1 that the medium of the vortex is also in motion1 and the cometary matter drifting along with it2 and that this motion corresponds with the earth's motion4 ,by becoming involved in the terral vortex1 it will in a measure be carried along with the earth in her orbit as a temporary occupant of the terral vortex4 ,but we are here met with the objection that the radiant being nearly stationary amongst the stars1 demonstrated conclusively1 that the source of these meteors did not partake of the earth's motion4 ,there is no difficulty in this4 ,we suppose as a general thing1 that the meteors descended to the surface of our atmosphere down the axis of the vortex 7at least in the greatest numbers71 and the geocentric longitude of this axis was nearly the same during the whole time of the display4 ,we say nearly1 for the motion of the moon in her orbit in nine hours1 would change the longitude of the axis three or four degrees1 and this is about the change in the position of the radiant noted at the time4 ,this objection1 therefore1 falls to the ground2 for the axis of the vortex1 although carried along with the earth in her orbit1 was unaffected by the earth's rotation1 and would therefore appear nearly as stationary in the heavens as ,gamma ,leonis4 ,but it is again urged1 that the moon was near conjunction with the sun1 and consequently the central vortex was on the opposite side of the globe4 ,this is true2 but the outer vortex must have been near the meridian about three hours after midnight1 or about the time when the radiant was vertical and the display the greatest4 ,when the axis was to the eastward1 the stars would shoot westward1 when on the meridian1 they would pass in all directions1 but principally to the south1 on account of the inclination of the axis of the vortex2 but this would only be true for places situated to the southward of the central latitude4 ,during the great shower of stars seen by ,humboldt1 in ,cumana1 the direction was to the south uniformly4 ,now1 the latitude of ,cumana is above #aj north1 yet still too low for the general limits of the vortices2 but from the same inclination of the axis 7from #cj to #cf to the surface71 the meteors would pass far south of the limit1 and might even reach to the equator4 ,the latitude of the outer vortex ascending on ,november #abth1 must have been near the line of greatest display1 from the position of the moon at the time4 ,we thus see why the phenomenon was limited to so small a fraction of the earth's surface2 why these meteors should be intermingled with nebulous patches stationary in the heavens for an hour together1 and why1 notwithstanding these facts1 they were independent of the earth's rotation4 ,we have yet another objection to answer1 viz43 the planetary velocity of some of these bodies4 ,let us be understood4 ,the velocity of a solid arolite is due to gravitation1 and is planetary1 on the other hand1 voluminous collections of cometary dust united by accident1 and remaining so by mere inertia1 are borne passively on the ethereal currents with electric velocity1 and probably never penetrate far1 even into the attenuated atmosphere1 which may be supposed 7from the facts connected with the aurora7 to extend far above the denser stratum which refracts and reflects light1 and from which the assigned limits of our atmosphere have been derived4 ,it is generally considered that sporadic meteors are more numerous in the summer and autumn than in the winter and spring1 and we have1 likewise1 in the tenth of ,august1 a date which corresponds to many great displays and meteoric showers1 both in recent and remote times4 ,this would seem to vitiate our theory2 for we cannot suppose that there are two central planes in the vortex intersecting the ecliptic in longitude #cbj and #ej4 ,we must remember1 however1 that as these great displays are accidental1 and as the stratum composing the zodial light is manifestly of sufficient thickness to envelope the whole orbit of the earth1 that it does not necessarily follow that the dense portions to which meteoric showers are due1 should be always confined to the central plane of the vortex4 ,and1 besides1 we have similar displays recorded in other months1 which invalidates the theory of a regularly-recurring phenomenon4 ,we shall1 therefore1 only aim at explaining why meteors are generally more abundant in summer and autumn than in the opposite seasons4 ,the axis of the solar vortex1 considered as cylindrical1 must be admitted to run out to a great depth on either side from the sun1 and reach far into that unoccupied space intervening between our system and the nearest fixed stars1 and from these opposite points the solar vortex is supplied with that stream of ether which passes down either pole to restore a partial equilibrium in the density of the ether of the vortex1 rarefied by centrifugal force4 ,as certain portions of the heavens are crowded with stars1 and other parts comparatively vacant1 we may expect a similar inequality in the distribution of that cometic dust1 which causes a certain amount of extinction in the light of the stars1 and1 therefore1 seeing that the two extremities of the axis of the solar vortex are so widely separated1 it would not be wonderful if different quantities of such matter were brought down into the vortex from these extremities4 ,from recent observations made by ,h4 ,r4 ,birt1 at the observatory of the ,british ,association1 it would appear that the brightest portion of the zodial light is always north of the ecliptic4 ,others have also remarked the same1 and if we couple this fact with the suggestion just made1 we are justified in suspecting that a greater quantity of cometic dust comes down the northern pole of the vortex than down the southern4 ,this matter1 in passing outward1 does not1 of course1 immediately attain to the central plane of the vortex1 but is more thickly distributed along a plane parallel to this plane4 ,and the same will be observed by that matter coming down the southern pole2 it will be1 in a certain degree1 retained in a plane south of the central plane1 but still parallel with it4 ,this would account for the greater brightness of the northern side of the zodial light4 ,it would1 also1 account for the greater frequency of meteors in summer and autumn than in the opposite seasons4 ,from ,may to ,november the earth is above the central plane of the vortex1 and1 consequently1 on the northern side2 but after passing the node in ,november1 she is on the under or southern side1 and the meteors are less frequent4 ,with this general explanation we shall close4 ,if what we have advanced be an approximation to the truth1 the theory itself affords ample indications of what observations are requisite to prove or disprove it2 and1 on this account1 a theory is of great benefit1 as suggestive of many questions and combinations of facts which otherwise might never be thought of4 ,we have thus taken a cursory glance at the prominent physical phenomena of the world1 and attempted to link them together in the bonds of one all-pervading principle4 ,we have fearlessly taken a new path1 and claim originality for the whole1 disclaiming all intention of retailing second-hand wares1 or of compiling an ingenious theory from heterogeneous scraps4 ,if it be true1 or if it be partially true1 let those professionally engaged in such pursuits enter the wide field of investigation we have discovered for them2 for if the whole theory be true1 it only shows in a clearer light that the great work which has been fancied so near completion is scarcely yet begun2 while the prospect of an ultimate and final completion of the temple which so many zealous votaries are erecting1 is rendered mournfully hopeless by the contemplation of what yet remains to be performed4 ,,footnotes3 #db ,the orbit this year was determined under very unfavorable circumstances4 #dc ,according to other tables1 this angle would be much greater than is given in ,mr4 ,hind's catalogue4 #dd ,prin4 ,prop4 xx ,lib4 ,sec4 #de ,with reference to the resisting power of the atoms4 #df ,prin4 ,lib4 ,tor4 ,prop1 xxxix41 also ,prop1 xli4 #dg ,in making this suggestion1 the author is well aware that ,ephemerides of the four chief asteroids have been given annually in the ,greenwich ,nautical ,almanac2 but for the object proposed they are utterly useless4 ,will any astronomer contend that these ,ephemerides are true to ten seconds of arc8 ,if not1 they are useless for the purpose suggested above1 and the theory wants revision4 ,and it is evident that any objection against its practicability1 founded on the uncertainty of the number of the asteroids themselves1 as has already been urged in answer to this suggestion1 is an evidence that the objector weighed the subject in the scales of his imagination only4 ,,section ,,sixth4 ,,the ,,polar ,,ice4 ,we shall conclude these pages by again referring to our theory of the weather1 in connection with an event which every friend of humanity and every lover of natural science is bound deeply to deplore4 ,from the present position of the lunar nodes and apogee1 the vortices of our earth do not ascend into very high latitudes4 ,now1 according to the principles laid down1 the frequency of storms tends to lower the temperature in the warm regions of the earth1 and to elevate it in the polar regions4 ,let us suppose the northern limit of the vortices to be in latitude #gj4 ,there will be1 in this case1 a greater prevalence of northerly winds within this circle of latitude1 to supply the drain to the southward1 and the back currents by passing above will descend at the pole1 partaking of the temperature due to that elevation4 ,the character of the arctic seasons may therefore be considered as partly dependent on the average direction of the wind4 ,suppose again1 the extreme limits of the vortices to be about latitude #hj1 the relative areas of the two circles are as #d to #a2 so that in this last case the exclusive range of the northerly winds is limited to one-fourth of the first area4 ,south of #hj the wind will frequently come from the south1 and by mixing with the local atmosphere of that latitude1 will tend to ameliorate the small area to the northward4 ,and the greater atmospheric commotion when confined to such a small circle of latitude1 must assist materially to break up the polar ice2 which would tend still more to equalize the temperature4 ,by referring to our table1 we see that the mean conjunction of the pole of the lunar orbit and the moon's apogee1 was in longitude #abh on ,april #aj1 #ahdf1 and let it be remembered that when the conjunction takes place due south or in longitude #bgj1 the vortices attain their greatest latitude north4 ,when1 on the contrary1 the conjunction takes place due north or in longitude #ij1dh the northern limits of the vortices are then in the lowest latitude possible4 ,sir ,john ,franklin sailed in ,may #ahde1 and was certainly at the entrance of ,wellington sound1 near latitude #ge1 ,april #c;d1 #ahdf1 as the dates on the graves testify4 ,that season1 according to the theory1 was a cold one2 for the vortices could not reach so far to the northward in that year1 and consequently there were no storms1 properly speaking4 ,it would probably be late in the summer of #ahdf1 before the expedition was liberated1 and as the prevailing winds would be from the northward1 he would have little choice1 but to stand to the westward if the state of the ice permitted4 ,in his instructions he was to use every effort to penetrate to the southward and westward of ,cape ,walker1 and he probably conformed to them under the circumstances1 and passed the winter in the ice1 in that neighborhood4 ,and in #ahdg we do not anticipate1 from the theory1 that he would make much progress westward4 ,in #ahdh1 ,sir ,james ,ross was sent out with the first relief-ship2 but was not able to reach the entrance of ,wellington channel because of compact ice from there to ,leopold ,island4 ,this was about the beginning of ,september--a time when the northern channels are usually the most open4 ,on the #aath1 they ran the ships into ,port ,leopold1 and the next day the ice shut them in for the winter4 ,from the character of the season1 we may infer that if ,franklin did not enter ,wellington channel in #ahdg1 as is most probable1 neither did he in #ahdh4 ,perhaps he was not able to get his ships far to the westward1 as we infer from the theory4 ,still1 as the time was not very protracted1 he would wait patiently another season and husband his resources4 ,in #ahdi1 ,sir ,james ,ross cut his ships clear of the ice ,august #bhth1 and crossed over to ,wellington channel1 where he found the land-ice still fast1 showing that this season was also a bad one in accordance with the theory4 ,on the #ast of ,september he met the first gale of wind1 at which time the ,inner ,vortex was at its extreme north latitude1 and rapidly extending its limits by the motion of the perigee4 ,this vortex describes a smaller orbit than either the central or the outer vortex1 and consequently reaches into higher latitudes4 ,but the time was badly chosen1 as the whole series of years since ,franklin left has been unfavorable for the early rupture of the ice4 ,sir ,james ,ross having been drifted out of ,lancaster sound by the gale1 finally bore up for ,england towards the close of ,september #ahdi4 ,the same year1 the ,north ,star with additional supplies was working up ,baffin's bay2 but on account of the unusual quantities of ice1 and the frosts which glued the floes together1 she was unable to force a passage through the middle ice1 and wintered on the east side of ,baffin's bay1 in latitude #gf #cc--;her thermometer marking #fd below zero1 as the coldest of the winter4 ,in #ahej1 the perigee of the moon attained its northern limit1 but the position of the node was bad2 still this year and #ahea1 were the best of the series4 ,the ,north ,star succeeded in getting out of the ice on the #ast of ,august--a very early date for that high latitude--and on the #hth had crossed over to ,possession bay2 but being prevented by the land-ice1 she bore up for ,pond bay and there landed the provisions4 ,the same year 7#ahej7 several vessels entered ,lancaster sound4 ,sir ,john ,ross also reached ,melville ,island2 from which it is evident that this season was far better than any preceding4 ,according to ,captain ,penny1 this year a floe of ice at least two years old1 filled ,wellington strait2 but was diminished in breadth at a subsequent visit4 ,he also saw a boundless open sea from the western entrance of ,wellington strait2 but of course the ships could not reach it1 for the floe before mentioned4 ,following the indications of the theory1 we consider it almost certain that ,franklin went to the westward and not through ,wellington channel2 that he made but slow progress until #ahej1 when finding the sea more open to the northward1 and attributing it more to local influences than to any change in the season1 he considered it a better course to extricate the expedition1 by pushing on towards ,behring's straits than to attempt the frozen channels he had already passed through4 ,but the seasons again getting worse after #ahej1 he was again arrested in the polar basin by the ice and islands off the northern coast of ,america4 ,regarding the old and new continents as in reality a connected body of land1 with a polar depression1 we may expect that the great range of ,american mountains is continued in a straight line1 from the mouth of the ,mc,kenzie river1 obliquely across the ,polar sea1 and connects with the ,ural2 and that along the axis of the chain1 protuberant masses will emerge above the sea level1 constituting an archipelago of islands1 from ,nova ,zembla to the ,mc,kenzie2 and that these islands1 causing an accumulation of ice1 and arresting its general tendency to the southward1 is the barrier which ,sir ,john ,franklin was finally stopped by1 in a situation where he could neither advance nor return4 ,with the map before us1 and the data afforded by former voyages1 and guided by these theoretical views1 respecting the prevailing direction of the winds and the character of the seasons1 we should locate ,sir ,john ,franklin near latitude #hj1 and longitude #ade1 in #ahea2 and as the seasons would afterwards become more severe1 we may consider that he has not been since able to change his locality1 and dare not desert his ships4 ,no mere stranger can feel a deeper interest than the author1 in view of the hard fortunes of these hardy explorers1 and he would not lightly advance such opinions1 did he not suppose they were in some degree reliable4 ,in #ahcb1 he himself crossed the ,atlantic1 for the purpose of offering himself to the ,geographical ,society of ,london1 intending to be landed as far northward as possible1 with a single companion1#di from which point he purposed to follow the coast line on foot1 with cautious discretion as to seasons1 confident that1 with arms and ammunition1 he could support himself for many years4 ,it has always been a grave error in all these northern land expeditions1 that they have been too unwieldy1 too much encumbered with the comforts and luxuries of civilization at the outset1 and too much loaded with a philosophical paraphernalia1 for a pioneering survey1--and cherishing too fondly the idea that the wide shores of the ,arctic sea could be explored in a single season4 ,had the ,british government established a few posts in the ,arctic regions in the beginning1--one1 for instance1 in ,lancaster sound1 another in ,behring's ,straits1 and a third near the mouth of the ,coppermine1 volunteers of sufficient scientific attainments might have been procured1 to banish themselves to these inhospitable regions for a term of years1 if assured of triennial supplies2 and in this way1 by summer boat-parties and winter expeditions1 over land or ice1 the explorations could have been gradually extended1 and a greater knowledge of the polar regions might have been acquired1 with an immense saving both of life and money4 ,in #ahcb the author's plan was deranged1 by finding that ,captain ,back was about setting out in quest of ,ross1 who had then been some four years absent4 ,this officer had all his party engaged when the author waited upon him in ,liverpool1 and no notice was taken of a modified plan which he forwarded to the ,society at his suggestion4 ,it was therefore abandoned4 ,the above fact is alluded to1 in order to show the author's sincerity in expressing his belief that1 with a previous preparation of mind and body for a sojourn in those frigid climes1 a sufficient subsistence may be derived from the country itself4 ,advantage must1 of course1 be taken of the times of abundance1 and due preparation made for the season of scarcity4 ,averaging the extremes1 there is little doubt but that both land1 and air1 and water1 afford an abundance of food for man in the ,arctic zone1 and that1 when spurred by necessity1 it is within his power to obtain it4 ,we ought not therefore to despond1 or give up efforts to rescue those who have well earned the sympathy of the world1 by what they must have already suffered4 ,these northern seas will yet be explored4 ,the very difficulty of accomplishing it1 will itself give it a charm1 which in this restless age will operate with increasing power4 ,and should efforts now be relaxed1 and in some future time the evidence be brought to light that some of the party yet existed1 long after all efforts to rescue them had been abandoned1 the fact would be a dark spot on the escutcheon of ,england1 which time could not erase4 ,since these pages were written1 accounts have been received from ,captain ,mc,clure1 of ,h4 ,m4 ship ,investigator1 which fully confirm the preceding remarks on the character of the seasons in the ,arctic circle2 and1 more recently1 despatches have been received from the discovery-ship1 ,amphytrite1 in relation to the past season in ,behring's straits1 which also confirms the theory4 ,the ,investigator 7now supposed to be frozen up in lat4 #gd #e ,n41 and long #aag #ed ,w41--the last despatch being dated ,april #aj1 #ahec7 passed round the northern shores of ,america into the channels communicating with ,lancaster sound1 in #ahej1 but was unable to extricate herself in #aheb1 and1 probably1 yet remains in the harbor she made in the winter of #ahea1 in the position above named4 ,no trace of ,sir ,john ,franklin's expedition was1 however1 found1 and1 indeed1 according to our theory1 the ,investigator was not on the most promising ground4 ,we contend that ,franklin has penetrated the pack of apparently perennial ice1 which is continually pressing to the southward1 and blocking up the passages between the northern islands1 or skirting the coast line of the continent2 which pack has since increased1 and effectually stopped all egress from the open central portions of the polar sea4 ,if ,sir ,john ,franklin is ever heard from1 this pack must be penetrated1 and a powerful steamer ought to be sent immediately by the ,british government1 to be ready in ,behring's straits early enough to take advantage of the first openings1 and make a bold push due north1 so as to get as speedily as possible into the open waters to the north of the pack4 ,if the author could make himself heard at ,washington1 he would also urge the government to lose no time in following our own expedition under ,dr4 ,kane1 who1 if he finds a clear entrance from ,smith's sound into the ,arctic sea1 may be induced to push on1 and endeavor to make his way through the pack towards ,behring's straits1 and thus fall into the same snare as ,franklin4 ,according to the theory1 the higher the passage into the ,arctic sea1 the less will it be incumbered with ice1 and1 consequently1 ,smith's sound is the best both to enter and return by2 and had the author not already smarted enough by having his professions derided1 he would have submitted these views to the patrons of that expedition before it sailed4 ,the scientific world is1 in reality1 chargeable with the disastrous results of ,franklin's expedition4 ,the polar basin is hemmed in by the coast line of ,europe1 ,asia1 and ,america1 in about latitude #gj north1 for the greatest part of the entire circumference4 ,and this coast line1 and the islands adjacent1 will cause the polar ice to accumulate and form a frozen belt along these shores1 in consequence of the constant tendency of the earth's rotation to press the ice to the southward4 ,the fact that an open passage exists between this belt and the shore in summer time1 is no objection1 as the tides1 river currents1 and warm land breezes1 may very well explain this4 ,the learned have insisted1 and do yet insist1 that the earth's rotation can produce no motions in the ,arctic sea1 and1 under this delusion1 ,franklin has passed into the comparatively open waters inside the pack1 perhaps has lost his ships2 yet it is very possible that the party may have escaped1 and derived a subsistence from the more genial waters of the central portion of that ocean unto this day4 ,we have already alluded to the difference of level between the ,atlantic and ,pacific waters4 ,it is well known that the currents in the ,spitzbergen and ,greenland seas is to the southward1 and that ,parry1 in his attempt to reach the pole1 was foiled by this very current1 frequently setting him back in twenty-four hours more than his party could travel in the same time over the ice4 ,through ,baffin's and ,hudson's bay the northern waters are also continually bearing their frozen freight southward4 ,we are1 therefore1 entitled to ask1 what supplies this immense drain8 ,behring's straits are only about sixty miles wide1 and twenty-five fathoms deep2 the supply1 therefore1 through this channel is totally inadequate1 yet there is no other channel into the ,arctic sea where the current is inward4 ,we have already explained the reason why the current through ,behring's straits is an exception to the general rule1 yet still confirming the principle by referring it to the configuration of the land enclosing the ,pacific ocean4 ,the whole south ,pacific lies open to the pole1 and the inertia of the immense mass of mobile waters pressing northward1 and continually contracted by the form of the ,american and ,asiatic coasts1 is not balanced by a contrary impulse of the waters of the north ,pacific1 inasmuch as this ocean becomes narrower as it extends northward1 and the only passage to the frozen ocean is through the narrow straits of ,behring4 ,the axifugal force of rotation due to the northern waters is1 therefore1 overborne by the vast preponderance due to the southern waters1 and1 hence1 the northern ,pacific may be considered as relatively at a higher level1 and there will be a current northward through ,behring's straits1 as we find it4 ,the same cause accumulates the waters under the equator1 thus giving a higher level to the ,pacific than to the ,atlantic at the isthmus of ,panama1 where the difference of level is found by actual measurement to be five or six feet4 ,this fact has never before been explained2 but the cause is too obvious to admit of question4 ,that the sea is deeper than was formerly admitted1 is now fully confirmed4 ,we have before alluded to the results obtained by ,captain ,denham1 of ,h4 ,m4 ship ,herald1 who found bottom at #g1gjf fathoms1 or about nine ,english miles4 ,now1 whether that spherical shell1 which we have contended to be the true form of the solid earth1 be continuous and entire2 or1 whether it may not be wanting in localities of limited extent where the ocean would be absolutely unfathomable1 we know not2 but if such be the internal constitution of our globe1 there will be1 no doubt1 many channels of communication between the internal and external ocean1 and1 as a consequence of the earth's rotation1 the axifugal current of the ,arctic sea may be supplied by an upward current from the interior of the globe2 and this current may have a higher temperature than the surface waters of that sea1 and thus the middle portions may1 in truth1 remain open the whole year round1 and be teeming with animal life4 ,according to ,captain ,penny's observations in #ahej1 whales and other northern animals existed to the westward1 where he saw the open sea stretch out without a bound before him4 ,it has been a question mooted by some1 that ,franklin's ships might be overtaken1 at an early stage of the voyage1 by a storm1 and foundered amidst the ice4 ,the theory would give a negative answer to this question4 ,stiff gales may prevail far to the north when the vortices do not reach so high2 but no storm1 properly speaking1 will be found far beyond their northern limit4 ,after the coming winter 7#ahec71 the vortices will gradually penetrate farther and farther to the northward1 and the years #aheg1 #aheh1 and #ahei1 will be highly favorable for northern discovery1 accompanied1 however1 with the necessary draw-back of tempestuous weather4 ,,footnotes3 #dh ,the reader will of course understand these as celestial longitudes1 and the latitudes as terrestrial4 #di ,mr4 ,william ,mc,donald1 of ,canada4 ,,conclusion4 ,our theory has thus extended itself beyond those limits which we at first had drawn1 and our apology must consist in the necessity existing for reconciling the most remarkable phenomena of meteorology to its principles4 ,yet1 after all1 what has been said is but an outline of what remains1 but this outline is a part of our theory of the weather1 and it could not well do without its aid4 ,in some points we may not have correctly interpreted facts2 but the facts remain4 ,the numerical elements of the theory may also be in error--we know not2 but we think that they are as perfect as the many contingencies on which they depend will permit4 ,what is certain however1 is of ample value to compensate for trivial errors4 ,we have hitherto experienced but little courtesy from those intrusted with the keys of knowledge1 and cannot consequently anticipate a very lenient verdict4 ,but we now tell them before the world1 that they have a duty to perform1 and an examination to make1 and a decision to come to1 whether these things are so4 ,our theory may be called an ingenious speculation1 but ,,we ,,challenge ,,the ,,scientific ,,to ,,prove ,,it--,,nothing ,,else4 ,the theory furnishes them with tests of daily occurrence1 to prove or to disprove it4 ,by such a trial we are willing to be judged2 but let it be conducted in the spirit recommended in the opening address before the ,american ,association for the ,advancement of ,science1 to expose all false developments1 and to do it generously and without prejudice2 and to remember1 that the temple of science belongs to no country or clime4 ,it is the world's temple1 and all men are free of its communion4 ,let its beauty not be marred by writing names upon its walls4#ej ,the great objection1 of friction and resistance of an all-pervading medium1 which will be urged against it1 we regard as rather the offspring of a bewildered imagination1 than of scientific induction4 ,we can discover no such consequences as final ruin to our system through its agency2 but even if such were discovered1 we may answer1 that nature nowhere tells us that her arrangements are eternal2 but rather1 that decay is stamped with the seal of the ,almighty on every created thing4 ,change may be one of the great laws of matter and motion1 and yet matter and motion be indestructible4 ,the earth was called into existence for a specific object1 and when that object is accomplished1 we are assured that another change awaits her4 ,but when earth1 and sun1 and planets1 are again redissolved into their primitive state1 their atoms will still float on the ever-rolling billows of the great ethereal ocean1 to be again cast up1 on the shore of time1 whenever it pleaseth ,him to say1 ,let there be light4 ,,footnotes3 #ej ,prof4 ,pierce's ,address1 #ahec4 ,,appendix4 ,since the author's arrival in ,new ,york for the purpose of publishing his outlines1 the third and fourth volume of the ,cosmos has been placed in his hands1 containing the latest uranological discoveries and speculations4 ,it is now more than twenty years since he began to investigate the subject he has treated of1 and fifteen since he first announced to the world1 that he had satisfactory evidence of his theory being true4 ,luckily1 perhaps1 he has been cut off from the great streams of knowledge2 and he may confess that it was with pardonable feelings of gratification that he discovered in #ahec1 by the acquisition of the two first volumes of the ,cosmos1 that the philosophic mind of ,humboldt had also pondered deeply on the planetary peculiarities of size1 density1 distance1 inclination of axes and eccentricities of orbits1 without eliciting any satisfactory relations4 ,from the tenor of the third and fourth volume of this learned summary of scientific knowledge1 it is evident that the question of a medium filling space is more and more occupying the learned world2 but the author is unable to discover any consistent theory respecting it4 ,the increasing interest attaching to it1 however1 is evidently preparing the world for some radical change in preconceived views4 ,the explanation given by this present theory to many prominent phenomena1 is so totally contrary to that of the learned world1 as to leave it untouched by anything yet advanced4 ,what the fifth volume of the ,cosmos will contain1 is not yet known in this country1 neither has the author been favored with any glimpse of the progress of science as developed before the ,british ,association2 he supposes1 however1 that he yet stands alone in the position he has defined4 ,as a question of practical importance1 the reader will find in the work cited1 the various opinions of the temperature of space4 ,both ,fourier and ,poisson regard this as the result of radiated heat from the sun and all the stars1 minus the quantity lost by absorption in traversing the regions of space filled with ether4#ea ,but why should we regard the stars as the source of all motions8 ,why cannot physicists admit the idea of an infinite space filled 7if we may use the expression7 with an infinite medium1 possessing an unchangeable mean temperature long before the formation of a single star4 ,a star equal to our sun at the distance of ,sirius1 would give about one million of million times less heat than our present sun1 which is only able to give an average temperature to the whole globe--about twenty degrees above freezing--then let us remember that there are only about fifty stars of the first and second magnitude1 which give more light 7and by analogy heat also7 than all the rest of the stars visible4 ,such labored theories as this of ,poisson's is a lamentable instance of the aberrations of human wisdom4 ,we would also call the reader's attention to a late conclusion of ,professor ,dove1 viz43 ,that differences of temperature in different longitudes frequently exist on the same parallel of latitude1 or1 in other words1 are laterally disposed4 ,this may be thought adverse to the theory1 but it should be borne in mind that the annual mean temperature of the whole parallel of latitude should be taken when comparing the temperatures of different years4 ,another fact cited in the ,cosmos apparently adverse to the theory1 is the idea entertained by ,sir ,john ,herschel1 that the full-moon dissipates the clouds4 ,this question has been fully examined by ,professor ,loomis before the ,american ,association1 and he concludes that there is not the slightest foundation for the assertion--taking as data the ,greenwich observations themselves4 ,,footnotes3 #ea ,see ,cosmos1 p4 #da1 vol4 ,,iii4