New periodic orbits in the planar equal-mass five-body problem

被引：7

作者：

Han, Shaoqi ^{[1
]}

Huang, Anping ^{[1
]}

Ouyang, Tiancheng ^{[3
]}

Yan, Duokui ^{[2
]}

机构：

[1] Beihang Univ, Sch Phys & Nucl Energy Engn, Beijing 100191, Peoples R China

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

[3] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 48卷

关键词：

Five-body problem; Variational method; Periodic orbit; Free boundary value problem; LINEAR-STABILITY; 3-BODY PROBLEM; EXISTENCE; 4-BODY; MINIMIZERS;

D O I：

10.1016/j.cnsns.2017.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply our variational method to search for new periodic orbits in the planar equal mass five-body problem. Three types of configurations are considered: all masses on a line, three masses on a line with the other two masses symmetrically locating on its two sides, and one mass on a line with the other four masses symmetrically sitting on two sides of the line. By setting suitable free variables in each pair of the three configurations and minimizing the Lagrangian action over these free variables, many new orbits were found. These orbits can be classified into 5 categories. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：425 / 438

页数：14

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