Finiteness of central configurations of five bodies in the plane

被引：106
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
收藏
页码：535 / 588
页数：54
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