ON PERIODIC SOLUTIONS FOR NESTED POLYGON PLANAR 2N+1-BODY PROBLEMS WITH ARBITRARY MASSES

Authors

  • Liu Xuefei Chongqing Three Gorges University - Department of Mathematics
  • Zhang Shiqing Sichuan University - College of Mathematics
  • Luo Jianmei Chongqing Three Gorges University - Department of Mathematics

Keywords:

2N+1-body problems, nested regular polygon, periodic solutions, circular matrices

Abstract

In this paper we study some necessary conditions and su±cient conditions for the nested periodic polygon solutions of planar
2N+1-body problem, in which N-body lie at the vertex of one regular polygon, other N-body lie at the vertex of another regular polygon with a running angle, and 2N+1th body lies at their geometrical center (origin) of 2N-body.

Cover of n°27 Italian Journal of Pure and Applied Mathematics

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Published

2010-12-15

How to Cite

Xuefei, L., Shiqing, Z., & Jianmei, L. (2010). ON PERIODIC SOLUTIONS FOR NESTED POLYGON PLANAR 2N+1-BODY PROBLEMS WITH ARBITRARY MASSES. Italian Journal of Pure and Applied Mathematics, 27, 63–80. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5900

Issue

N°27 - December 2010

Section

Articoli - Forum Editrice

License

Copyright (c) 2010 Liu Xuefei, Zhang Shiqing, Luo Jianmei

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)