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Spacecraft Trajectory Design Near Asteroid 4769 Castalia Open Access

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In this paper, we extend the design method previously developed in the three-body problem to motion about asteroids. The authors present a systematic method of generating optimal transfer orbits about asteroids. Our systematic approach avoids the difficulties in selecting an appropriate initial guess for optimization. We instead utilize the concept of the reachability set to enable a simple methodology of selecting initial conditions to achieve general orbital transfers. This method allows us to avoid the difficulties inherent in choosing valid initial conditions for the computation of optimal transfer trajectories. We develop the optimal control formulation and apply this method to an example transfer about asteroid 4769 Castalia.

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