数学杂志2009，Vol.29Issue(1)：49-55,7.
带任意质量的平面2N+1体问题的周期解
PERIODIC SOLUTIONS FOR SOME PLANAR 2N+1-BODY PROBLEMS WITH ARBITRARY MASSES
摘要
Abstract
In this paper we study periodic solutions of 2N+1-body problems. Using properties of Hermite matrix and circular matrix, we propose the necessary and sufficient conditions of periodic solutions for the nested regular polygon of planar 2N+1-body problem with a mass at the geometrical center, and prove the existence and uniqueness of the periodic solutions. This work extends the results in [9].关键词
正多边形套2N+1-体问题/周期解/循环矩阵/Hermite矩阵Key words
nested regular polygon 2N+1-body problems/periodic solutions/circular matrices/Hermite matrix分类
数理科学引用本文复制引用
刘学飞,冯天祥,段会玲..带任意质量的平面2N+1体问题的周期解[J].数学杂志,2009,29(1):49-55,7.基金项目
Supported by the Natural Science Foundation of China (No.10231010) and KJF of CQEC (KJ09110x) （No.10231010）
