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Multiple-Spacecraft Reconfiguration Through Collision Avoidance, Bouncing, and Stalemate

Author

Listed:
  • Y. Kim

    (University of Washington)

  • M. Mesbahi

    (University of Washington)

  • F. Y. Hadaegh

    (California Institute of Technology)

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.

Suggested Citation

  • Y. Kim & M. Mesbahi & F. Y. Hadaegh, 2004. "Multiple-Spacecraft Reconfiguration Through Collision Avoidance, Bouncing, and Stalemate," Journal of Optimization Theory and Applications, Springer, vol. 122(2), pages 323-343, August.
  • Handle: RePEc:spr:joptap:v:122:y:2004:i:2:d:10.1023_b:jota.0000042524.57088.8b
    DOI: 10.1023/B:JOTA.0000042524.57088.8b
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