New Periodic Solutions for the Circular Restricted 3-Body and 4-Body Problems

Zhang Shiqing; Yin Qunyao

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New Periodic Solutions for the Circular Restricted 3-Body and 4-Body Problems

Zhang Shiqing 1 *,Yin Qunyao 2

1.Sichuan University

2.Yangzhou University

*Correspondence author

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Funding: 国家自然科学基金,教育部博士点基金（No.,）

Opened online:24 February 2009

Accepted by: none

Citation: Zhang Shiqing,Yin Qunyao.New Periodic Solutions for the Circular Restricted 3-Body and 4-Body Problems[OL]. [24 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29566

For the circular restricted 3-body and 4-body problems in R^2, we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.Our results should be useful in celestial mechanics.

Keywords:circular restricted 3(or 4)-body problem;noncollision periodic solutions;variational methods

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