New Periodic Solutions for Planar N+k–Body Problems

Deng Chunhua; Zhang Shiqing

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New Periodic Solutions for Planar N+k–Body Problems

Deng Chunhua,Zhang Shiqing *

Sichuan 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:17 February 2009

Accepted by: none

Citation: Deng Chunhua,Zhang Shiqing.New Periodic Solutions for Planar N+k–Body Problems[OL]. [17 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29078

For Newtonian N+k–body problems in R^2, we prove the existence of new noncollision periodic solutions such that N + k bodies move on two different closed curves and have some given winding numbers.

Keywords:n–body problem;winding number;variational minimizers

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