Mass-Optimal Low-Thrust Forced Periodic Trajectories in the Earth-Moon CR3BP

Colby C. Merrill; Jackson Kulik; Matthew J. Bryan; Dmitry Savransky

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arXiv · 2502.05140

Mass-Optimal Low-Thrust Forced Periodic Trajectories in the Earth-Moon CR3BP

Colby C. Merrill·Jackson Kulik·Matthew J. Bryan·Dmitry Savransky

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Abstract

In Cislunar space, spacecraft are able to exploit naturally periodic orbits, which provide operational reliability. However, these periodic orbits only exist in a limited volume. Enabled by low-thrust propulsion, spacecraft can produce a greater number of periodic trajectories in Cislunar space. We describe a methodology for producing mass-optimal trajectories that enforce periodic structure in the circular-restricted three body problem and study the thrust-limited reachable set around a reference trajectory. In this study, we find that the thrust-limited mass-optimal reachable set is a superset of the energy-limited energy-optimal reachable set in the xy-plane.

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Colby C. Merrill, Jackson Kulik, Matthew J. Bryan, Dmitry Savransky. 2025-02-07. Mass-Optimal Low-Thrust Forced Periodic Trajectories in the Earth-Moon CR3BP. https://arxiv.org/abs/2502.05140

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