NEW PERIODIC ORBITS IN THE PLANAR EQUAL-MASS THREE-BODY PROBLEM

被引：1

作者：

Liu, Rongchang ^{[1
]}

Li, Jiangyuan ^{[1
]}

Yan, Duokui ^{[1
]}

机构：

[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 04期

关键词：

Three-body problem; periodic orbit; variational method; topological constraint;

D O I：

10.3934/dcds.2018090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that there exist two sets of nontrivial periodic orbits in the planar equal-mass three-body problem: retrograde orbit and prograde orbit. By introducing topological constraints to a two-point free boundary value problem, we show that there exists a new set of periodic orbits for a small interval of rotation angle theta.

引用

页码：2187 / 2206

页数：20

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