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PreprintarXiv licencearXiv

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

Abstract

Distributed Space Systems offer unique capabilities but have significant hardware limitations on computational processing and fuel when employing small satellites. These constraints drive interest in deterministic maneuver planning that incorporates orbital perturbations to improve final state accuracy and decrease reconfiguration delta-v cost. This paper proposes a novel closed-form, provably optimal framework to generate complete roto-translational solutions for propulsive-differential drag control of multiple satellites. The approach leverages relative orbit elements and reachable set theory to characterize all control with a single methodology that can be readily generalized to generic impulsive-continuous control. The algorithm is robust to large reconfigurations and extended control windows where differential drag is most effective.

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BibTeX
@misc{hunter2026closedform,
  title = {{Closed-form Optimal Propulsive-Differential Drag Control for Large Reconfigurations of Spacecraft Swarms}},
  author = {Matthew Hunter and Simone D'Amico},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31973},
  eprint = {2610.31973},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31973},
}
RIS
TY  - UNPB
TI  - Closed-form Optimal Propulsive-Differential Drag Control for Large Reconfigurations of Spacecraft Swarms
AU  - Matthew Hunter
AU  - Simone D'Amico
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31973
UR  - https://arxiv.org/abs/2610.31973
AB  - Distributed Space Systems offer unique capabilities but have significant hardware limitations on computational processing and fuel when employing small satellites. These constraints drive interest in deterministic maneuver planning that incorporates orbital perturbations to improve final state accuracy and decrease reconfiguration delta-v cost. This paper proposes a novel closed-form, provably optimal framework to generate complete roto-translational solutions for propulsive-differential drag control of multiple satellites. The approach leverages relative orbit elements and reachable set theory to characterize all control with a single methodology that can be readily generalized to generic impulsive-continuous control. The algorithm is robust to large reconfigurations and extended control windows where differential drag is most effective.
ER  -