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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