Finiteness of central configurations of five bodies in the plane

被引：108

作者：

Albouy, Alain ^{[1
]}

Kaloshin, Vadim ^{[2
]}

机构：

[1] Observ Paris, CNRS UMR8028, F-75014 Paris, France

[2] Univ Maryland, College Pk, MD 20742 USA

来源：

ANNALS OF MATHEMATICS | 2012年 / 176卷 / 01期

基金：

美国国家科学基金会;

关键词：

CLASSIFYING RELATIVE EQUILIBRIA; N-BODY PROBLEM; 5-BODY PROBLEM; MASSES;

D O I：

10.4007/annals.2012.176.1.10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses belongs to a given codimension 2 subvariety of the mass space.

引用

页码：535 / 588

页数：54

共 35 条

[31] TOPOLOGY AND MECHANICS .2. PLANAR N-BODY PROBLEM [J].