Existence and Uniqueness of Nested Regular Quadrilateral Central Configurations  

作　　者：LIUXue-fei 

机构地区：[1]DepartmentofMathematics,ChongqingThreeGorgesCollege,Chongqing404000／／China [2]DepartmentofMathematics,ChongqingUniversity,Chongqing400044,China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第1期59-64,共6页数学季刊（英文版）

基　　金：Supported by the NSF of China(10231010)Supported by the NSF of CQSXXY (20030104)

摘　　要：Two cases of the nested configurations in R3 consisting of two regular quadrilaterals are discussed. One case of them do not form central configuration, the other case can be central configuration. In the second case the existence and uniqueness of the central configuration are studied. If the configuration is a central configuration, then all masses of outside layer are equivalent, similar to the masses of inside layer. At the same time the following relation between r(the ratio of the sizes) and mass ratio b = m/m must be satisfied in which the masses at outside layer are not less than the masses at inside layer, and the solution of this kind of central configuration is unique for the given ratio (6) of masses.

关 键 词：N-body problems nested quadrilaterals central configurations existence and uniqueness 

分 类 号：O313.7[理学—一般力学与力学基础] O193[理学—力学]