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Variational methods for the choreography solution to the three- body problem
Authors:Email author" target="_blank">Shiqing?ZhangEmail author  Qing?Zhou
Institution:1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China;Department of Mathematics, Chongqing University, Chongqing 400044, China
2. Department of Mathematics, East China Normal University, Shanghai 200062, China
Abstract:In this paper, we give a short proof for the existence of nontrivial choreography solution to the equal-mass three-body problem, which is discovered by Chenciner and Montgomery recently.
Keywords:three-body problem  choreography solution  variational method
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