Existence and uniqueness for a class of double pyramidal central configurations with a concave pentagonal base  

作　　者：刘学飞 

机构地区：[1]Department of Mathematics, Chongqing Three Gorges College, Chongqing 404000, P.R. China

出　　处：《Journal of Chongqing University》2003年第1期28-30,共3页重庆大学学报（英文版）

基　　金：Natural Science Foundation of China (No.19871096)

摘　　要：Based on some necessary conditions for double pyramidal central configurations with a concave pentagonal base, for any given ratio of masses, the existence and uniqueness of a class of double pyramidal central configurations with a concave pentagonal base in 7-body problems are proved and the range of the ratio between radius and half-height is obtained, within which the 7 bodies involved form a central configuration or form uniquely a central configuration.Based on some necessary conditions for double pyramidal central configurations with a concave pentagonal base, for any given ratio of masses, the existence and uniqueness of a class of double pyramidal central configurations with a concave pentagonal base in 7-body problems are proved and the range of the ratio between radius and half-height is obtained, within which the 7 bodies involved form a central configuration or form uniquely a central configuration.

关 键 词：N-body problem existence and uniqueness concave pentagonal base double pyramidal central configuration 

分 类 号：P132[天文地球—天体力学]