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

被引：0

作者：

LONG Yiming and ZHANG Shiqing1. Nankai Institute of Mathematics

2. Department of Applied Mathematics

机构：

来源：

Science Bulletin | 1999年 / 18期

关键词：

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

D O I：

暂无

中图分类号：

P132.2 [];

学科分类号：

070402 ;

摘要：

For any given positive masses it is proved that the variational minimization solutions of the 3-body problem in 3 or 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 3 or 2 are also planar equilateral triangle circular solutions.

引用

页码：1653 / 1655

页数：3

共 50 条

[1] Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem
Yiming Long*
Shiqing Zhang**
[J]. Acta Mathematica Sinica, 2000, 16 : 579 - 592
[2] Geometric characterizations for variational minimization solutions of the 3-body problem
Long, YM
Zhang, SQ
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (04): : 579 - 592
[3] Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem
Yiming Long Nankai Institute of Mathematics. Nankai University. Tianjin 300071. P. R. China Shiqing Zhang Department of Applied Mathematics Chongqing University. Chongqing 40004
[J]. Acta Mathematica Sinica,English Series, 2000, 16 (04) : 579 - 592
[4] Geometric characterizations for variational minimization solutions of the 3-body problem
Long, YM
Zhang, SQ
[J]. CHINESE SCIENCE BULLETIN, 1999, 44 (18): : 1653 - 1655
[5] Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy
Long, YM
Zhang, SQ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 160 (02) : 422 - 438
[6] Geometric characterizations for variational minimizing solutions of charged 3-body problems
Wentian Kuang
Yiming Long
[J]. Frontiers of Mathematics in China, 2016, 11 : 309 - 321
[7] Geometric characterizations for variational minimizing solutions of charged 3-body problems
Kuang, Wentian
Long, Yiming
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (02) : 309 - 321
[8] The variational minimization solutions of 3-body problems with 2 fixed centers
Zhao, Furong
Jiang, Yueyong
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2017, 120 : 1 - 4
[9] VARIATIONAL EQUATION OF THE 3-BODY PROBLEM
WALDVOGEL, J
[J]. CELESTIAL MECHANICS, 1980, 21 (02): : 171 - 175
[10] VARIATIONAL SOLUTION OF 3-BODY SCATTERING PROBLEM
PAYNE, GL
KLINK, WH
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1976, 21 (01): : 12 - 12

← 1 2 3 4 5 →