Variational methods for the choreography solution to the three-body problem

作     者：张世清 周青 

作者机构：Department of Mathematics Shanghai Jiaotong University Shanghai 200030 China Department of Mathematics Chongqing University Chongqing 400044 China Department of Mathematics East China Normal University Shanghai 200062 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2002年第45卷第5期

页      面：594-597页

核心收录：

学科分类：07[理学] 070402[理学-天体测量与天体力学] 0704[理学-天文学] 0701[理学-数学] 

基　　金：This work was partly supported by the National Natural Science Foundation of China (Grant No. 19871096) the Qiu Shi Science and Technology Foundation. 

主　　题：three-body problem, choreography solution, variational method. 

摘      要：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.