Distance Estimates for Simple Choreographic Solutions of the Three-body Problem

被引：1

作者：

Chen, Kuo Chang ^{[1
]}

Pan, Bo Yu ^{[2
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

[2] Natl Chung Hsing Univ, Dept Appl Math, Taichung, Taiwan

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 10期

关键词：

n-body problem; variational method; mutual distance; BODY; EXISTENCE;

D O I：

10.1007/s10114-022-2249-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we estimate mutual distances of simple choreographic solutions for the Newtonian three-body problem. Explicit formulas will be proved and our applications include the famous figure-8 orbit.

引用

页码：1823 / 1830

页数：8

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