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.

Downloads

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

Section

Articoli - Forum Editrice

Similar Articles

1 2 > >> 

You may also start an advanced similarity search for this article.