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Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem 被引量:3
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作者 Yiming Long Nankai Institute of Mathematics. Nankai University. Tianjin 300071. P. R. China Shiqing Zhang Department of Applied Mathematics Chongqing University. Chongqing 40004, P.R. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2000年第4期579-592,共14页
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. Lagran... 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 rostricted 3-body problem in R^3 or R^2 are also planar equilateral triangle circular solutions. 展开更多
关键词 3-body problem Restricted 3-body problem Variational minimization Equilateral triangle circular solution
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