arXiv Open Access 2020

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

Xingbo Xu

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Abstrak

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.

Topik & Kata Kunci

math.DS

Penulis (1)

Xingbo Xu

Format Sitasi

APA MLA BibTeX

Xu, X. (2020). Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary. https://arxiv.org/abs/2001.00120

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓