Abstract
We consider constrained multiple-spacecraft reconfigurations outside a gravity well in deep space. As opposed to the single-spacecraft scenario, such reconfigurations involve collision avoidance constraints that can be embedded in a nonconvex, state-constrained optimal control problem. Due to the difficulties in solving this general class of optimal control problems, we adopt a heuristically motivated approach to multiple-spacecraft reconfigurations. Then, we proceed to prove the convergence properties of the proposed approach for reconfigurations involving an arbitrary number of spacecraft.
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Kim, Y., Mesbahi, M. & Hadaegh, F.Y. Multiple-Spacecraft Reconfiguration Through Collision Avoidance, Bouncing, and Stalemate. Journal of Optimization Theory and Applications 122, 323–343 (2004). https://doi.org/10.1023/B:JOTA.0000042524.57088.8b
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DOI: https://doi.org/10.1023/B:JOTA.0000042524.57088.8b