Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary

Xingbo Xu

Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary

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arxiv 2001.00120 v1 pith:5SR6D4XA submitted 2020-01-01 math.DS

Xingbo Xu This is my paper · ORCID

classification math.DS

keywords periodicdoubly-symmetricexistencehilllunaroblateorbitsprimary

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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.

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