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Closed-form Optimal Solutions for Propulsive-Differential Drag Control of Spacecraft Swarms

arXiv Mathematics · WORLD · Mathematics · 10/26/2026, 12:00:00 AM

arXiv:2610.31970v1 Announce Type: new Abstract: This paper presents a novel optimal control approach for Distributed Space Systems (DSS) to minimize the total delta-v cost for large, time-constrained reconfigurations. Reconfiguration cost is decreased by blending differential drag and propulsive control within the same control window. By parameterizing the problem with Relative Orbital Elements (ROE) and leveraging reachable set theory, a maneuver planning methodology is derived to produce provably-optimal, full roto-translational control solutions in closed-form, such that they can be implemented on hardware-limited spacecraft.

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