The central configuration of the planar (N+1)-body problem with a regular N-polygon for homogeneous force laws

被引：0

作者：

Ding, Liang ^{[1
,2
]}

Wei, Jinlong ^{[3
]}

Zhang, Shiqing ^{[4
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China

[2] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Peoples R China

[3] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China

[4] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2022年 / 367卷 / 07期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

(N+1)-body problem; Central configuration; Regular N-polygon;

D O I：

10.1007/s10509-022-04095-w

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper deals with the planar (N+1)-body problem for homogeneous force laws, where N positive masses are located at the vertices of a regular N-polygon centered on the (N+1)-th positive mass, and we prove that the N+1 bodies form a central configuration if and only if the positive masses located at the vertices of the regular N-polygon are equal to each other.

引用

页数：9

共 50 条

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