Double Pyramidal Central Configurations with a Concave Quadrilateral Base  

作　　者：刘学飞 

出　　处：《Journal of Chongqing University》2002年第1期67-69,共3页重庆大学学报（英文版）

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

摘　　要：As for a double pyramidal central configuration in 6-body problems, the case when its base is a concave polygon is studied. By advancing several assumptions according to the definition of double pyramidal central configuration and deducing two theorems and two corollaries on this subject, the essential and sufficient conditions to form a double pyramidal central configuration with a concave quadrilateral base are demonstrated.As for a doudle pyramidal central configuration in 6-body problems,the case when its bese is a concave polygon is studied.By advancing several assumptions according to the definition of double pyramidal central configuration and deducing two theorems and two corollaries on this subject,the essential and sufficient conditions to form a double pyramidal central configuration with a concave quadriateral base are demonstrated.

关 键 词：N-body problems Concave quadrilateral base Central configuration. 

分 类 号：P132[天文地球—天体力学]