Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary
Dynamical Systems
2020-01-03 v1
Abstract
In this article we consider the existence of a family of doubly-symmetric periodic orbits in the spatial circular Hill's lunar problem, in which the secondary primary at the origin is oblate. The existence is shown by applying a fixed point theorem to the equations with periodical conditions expressed in Poincare-Delaunay elements for the double symmetries after eliminating the short periodic effects in the first-order perturbations of the approximated system.
Keywords
Cite
@article{arxiv.2001.00120,
title = {Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary},
author = {Xingbo Xu},
journal= {arXiv preprint arXiv:2001.00120},
year = {2020}
}
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