A Minimizing Property of Lagrangian Solution

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2001 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Sinica, English Series, volume 17, pages 497-500 (issn: 1439-8516, eissn: 1439-7617,

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Authors: Zhang, Shiqing; Zhou, Qing;

doi: 10.1007/s101140100124 , 10.1007/pl00011625

A Minimizing Property of Lagrangian Solution

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Abstract

This short paper shows that Lagrangian solutions of three-body problem minimize the action functional. The main result states that any minimal regular solution of the three-body problem is precisely the Lagrangian elliptic solution. The authors also give a brief review of Keplerian orbits and of the Gordon's result.

Related Organizations

Chongqing University
China (People's Republic of)
East China Normal University
China (People's Republic of)
Chongqing University
China (People's Republic of)

Keywords

minimizing property, three-body problem, action functional, Three-body problems, Lagrangian elliptic solution

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