Bifurcations of Central Configurations in the Four-Body Problem with Some Equal Masses

被引：7

作者：

Rusu, David ^{[1
]}

Santoprete, Manuele ^{[1
]}

机构：

[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2016年 / 15卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

celestial mechanics; n-body problem; central configurations; bifurcations; RELATIVE EQUILIBRIA; BODY PROBLEM; N BODIES; SYMMETRY;

D O I：

10.1137/151002484

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the bifurcations of central configurations of the Newtonian four-body problem when some of the masses are equal. First, we continue numerically the solutions for the equal mass case, and we find values of the mass parameter at which the number of solutions changes. Then, using the Krawczyk method and some results of equivariant bifurcation theory, we rigorously prove the existence of such bifurcations and classify them.

引用

页码：440 / 458

页数：19

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