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
收藏
页码：2187 / 2206
页数：20
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