一类平面四体的中心构型

A Kind of 4-Body Flat Central Configurations

简述了平面四体中心构型的基本概念和重要相关成果 ,研究了当限制质点m1,m2 ,m3 位于一等腰三角形的各顶点上 ,且m2 m3为底边时 ,平面四体中心构型的质点间的质量与位置的某种关系。并在此结论的基础上 ,讨论了当四质点构成菱形、正方形中心构型时 ,质点间的质量关系。

The elementary concepts and the interrelated imporant results are briefly introduced.Based on this,the quality and the place of 4 body flat central configuration are studied when m 1, m 2, m 3 lie at the vertices of a isosceles triangle with base side m 2m 3 .This therem is proved.Based on it ,two inferences are given and proved if 4 points form a rhombus or a square central configurations.