Geometric characterization for the least Lagrangian action of n-body problems

作     者：张世清 周青 ZHANG Shiqing;ZHOU Qing

作者机构：1. Department of Mathematics Chongqing University 400044 Chongqing China 2. Department of Mathematics East China Normal University 200062 Shanghai China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2001年第44卷第1期

页      面：15-20页

核心收录：

学科分类：07[理学] 070402[理学-天体测量与天体力学] 0704[理学-天文学] 

基　　金：This work was supported by MSTC  the National Natural Science Foundation of China and QSSTF 

主　　题：n-body problems Lagrangian action integral homographic solutions 

摘      要：For n-body problems with quasihomogeneous potentials in ?k (2[ n/2] ? k) we prove that the minimum of the Lagrangian action integral defined on the zero mean loop space is exactly the circles with center at the origin and the configuration of the n-bodies is always a regular n - 1 simplex with fixed side length.