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

Kuo Chang Chen; Bo Yu Pan

doi:10.1007/s10114-022-2249-1

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

期刊文章

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

Kuo Chang Chen 和 Bo Yu Pan

Acta Mathematica Sinica, English Series, 卷.38(10), 頁碼.1823-1830

10/2022

DOI: https://doi.org/10.1007/s10114-022-2249-1

摘要

34E10

70F05

70F15

70F16

mutual distance

n-body problem

variational method

Mathematics (all)

Applied Mathematics

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.

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詳細資料

題名: Distance Estimates for Simple Choreographic Solutions of the Three-body Problem
翻譯題名: Distance Estimates for Simple Choreographic Solutions of the Three-body Problem
創作者：: Kuo Chang Chen (作者) - National Tsing Hua University
Bo Yu Pan (作者) - National Chung Hsing University
學術資源類型: 期刊文章
出版日期: 10/2022
出版資訊: Acta Mathematica Sinica, English Series, 卷.38(10), 頁碼.1823-1830
語言: 英語

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

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