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Effects of higher-order multipoles of the lunar disturbing potential on elongated orbits in cislunar space

By Aaron J. Rosengren, Hossein Namazyfard and Giorgio E. O. Giacaglia


For an Earth satellite in cislunar space, the effects of the third or higher-order harmonics in the solar disturbing function are negligible. For lunar perturbations, however, these terms become increasingly important as the semimajor axis increases. We investigate the effects of these higher-order multipole moments on circular, moderate, and highly elliptical orbits, where the semimajor axis is a relatively large fraction (~20%) of the Moon’s one. We specifically characterize the regions of cislunar space where the octupole-order approximation, often used in celestial and astrophysical dynamics for studying the stability and fates of hierarchical planetary systems, is actually a valid truncation of the gravitational interactions

Publisher: EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature
DOI identifier: 10.1140/epjst/e2020-900128-y
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