Aaron J. Rosengren

University of California San Diego

The Phase-Space Structure of Lunar Mean-Motion Resonances

While mean-motion resonances (MMRs) (commensurabilities of orbital periods) constitute one of the most important and far-reaching aspects of dynamical astronomy, they have remained seriously underrated in Earth-satellite dynamics in part because the orbits of most traditional satellites are too low to be affected by mean-motion commensurabilities. What are the Kirkwood gaps of cislunar space? This question is of great current interest for mission planners now that we are locating our space-based assets, such as the IBEX and TESS, in predominant lunar MMRs that have hitherto only been treated in piecemeal. We uncover the lunar MMRs that significantly affect the structure of cislunar space beyond GEO and provide global maps of the principal heteroclinic connections between the various resonance regions that form the basic skeleton of dynamical transfers.

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The Phase-Space Structure of Lunar Mean-Motion Resonances
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