Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem

被引：1

作者：

Kajihara, Yuika ^{[1
]}

Shibayama, Mitsuru ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Sakyo Ku, Yoshida Honmachi, Kyoto 6068501, Japan

来源：

NONLINEARITY | 2022年 / 35卷 / 03期

基金：

日本学术振兴会;

关键词：

variational methods; the restricted three-body problem; periodic orbits; MINIMIZATION;

D O I：

10.1088/1361-6544/ac4c2b

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The restricted three-body problem (R3BP) is an important research area that deals with significant issues in celestial mechanics, such as analyzing asteroid movement behavior and orbit design for space probes. We aim to show the existence of periodic orbits in the planar circular R3BP. To find these orbits, we adapt a variational approach and symmetry.

引用

页码：1431 / 1446

页数：16

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