Geometric characterizations for variational minimization solutions of the 3-body problem

被引：8

作者：

Long, YM ^{[1
]}

Zhang, SQ

机构：

[1] Nankai Univ, Nankai Inst Math, Tianjin 300071, Peoples R China

[2] Chongqing Univ, Dept Appl Math, Chongqing 400044, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2000年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

3-body problem; restricted 3-body problem; variational minimization; equilateral triangle circular solution;

D O I：

10.1007/s101140000007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that for any given positive masses the variational minimization solutions of the 3-body problem in R-3 or R-2 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 R-3 or R-2 are also planar equilateral triangle circular solutions.

引用

页码：579 / 592

页数：14

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