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

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：gsbyqjkwkw

【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 Chencine

【作者】

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ZHANG Shiqing(张世清) ZHOU Qin(周青

【机构】

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DepartmentofMathematics,DepartmentofMathematics

【出处】

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中国科学：数学英文版

【发表日期】

：

2002年5期

【关键词】

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THREE-BODY problem CHOREOGRAPHY solution VARIATIONAL method. three-body proble

【基金项目】

：

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

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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.

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

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