Nested regular polygon solutions for planar 2N-body problems  

作　　者：张世清 周青 

出　　处：《Science China Mathematics》2002年第8期1053-1058,共6页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant No. 19871096), QSSTE and MOST.

摘　　要：In this paper we study the necessary conditions for the masses of the nested regular polygon solutions of the planar 2N-body problem.We prove that the masses at the vertices of each regular polygon must be equal to each other.In this paper we study the necessary conditions for the masses of the nested regular polygon solutions of the planar2N-body problem.We prove that the masses at the vertices of each regular polygon must be equal to each other

关 键 词：2N-body problems nested regular polygon periodic solutions circulant matrices 

分 类 号：P132.1[天文地球—天体力学]