New Periodic Solutions for Planar 5–Body and 7-Body Problems

Su Xia; Zhang Shiqing

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New Periodic Solutions for Planar 5–Body and 7-Body Problems

Su Xia 1,Zhang Shiqing 2 *

1.Department of Computing Science, Huaiyin Institute of Technology

2.Sichuan University

*Correspondence author

#Submitted by

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Funding: 国家自然科学基金,教育部博士点基金（No.10671132,）

Opened online:11 March 2009

Accepted by: none

Citation: Su Xia,Zhang Shiqing.New Periodic Solutions for Planar 5–Body and 7-Body Problems[OL]. [11 March 2009] http://en.paper.edu.cn/en_releasepaper/content/30164

For planar Newtonian N + 2-body (N=3,5)problems with some mass ratios, we prove the existence of new non-collision periodic solutions such that N bodies with equal masses move on one loop and the other 2 bodies with equal masses move on the other one or two closed curves and have some given winding numbers and symmetries.

Keywords:5-body and 7-body problems;winding numbers;variational minimizers

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