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Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem
被引：0
作者：
Yiming Long*
Shiqing Zhang**
机构：
[1] Nankai University,Nankai Institute of Mathematics
[2] Department of Applied Mathematics,undefined
来源：
Acta Mathematica Sinica
|
2000年
/
16卷
关键词：
3-body problem;
Restricted 3-body problem;
Variational minimization;
Equilateral triangle circular solution;
70F07;
58F05;
70F15;
34C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove that for any given positive masses the variational minimization solutions of the 3-body problem in R3 or R2 are precisely the planar equilateral triangle circular solutions found by J. Lagrange in 1772, and that the variational minimization solutions of the circular restricted 3-body problem in R3 or R2 are also planar equilateral triangle circular solutions.
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页码：579 / 592
页数：13
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