Numerical and Analytical Reachable Set Applications to Cooperative and Non-Cooperative Multi-Spacecraft Trajectory Coordination

摘要

In the interest of improving mission planning capabilities for multi-spacecraft systems, we investigate the utility of analytically generated reachable sets for planning trajectories of systems of two and more spacecraft. We generate sets of reachable planar orbits for individual spacecraft using an analytic control law, and then combine sets of multiple spacecraft to explore AV optimal spacecraft rendezvous and pursuit-evasion scenarios for systems of two spacecraft. For systems of more than two spacecraft, we use the reachable sets to explore optimal rendezvous orbits for a variety of criteria. We find that these reachable sets can give useful insight into multi-spacecraft coordination problems, and easily scale to handle systems of multiple spacecraft.