一个2N体问题空间中心构型的存在性  

THE EXISTENCE OF A SPATIAL CENTRAL CONFIGURATION FOR 2N-BODY PROBLEM

作　　者：刘文忠[1] 刘梦 孙艳春[1] 张同杰[1] 

机构地区：[1]北京师范大学天文学系,北京100875 [2]Thunderbird School of Global Management,80306,Glendale,USA

出　　处：《北京师范大学学报（自然科学版）》2012年第3期247-253,共7页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10473002);中科院天文联合基金资助项目(10778717)

摘　　要：研究2 N体问题在单位球上的两层正多边形中心构型的存在性,根据对动力学运动方程的分析,得出否定的结论.本文还讨论了中心构型的数学定义,以及中心构型与梯度流的关系.The existence of regular polygonal central configuration on two layer resting planes was investigated.Analysis of dynamic equation for 2N-body problem indicated that all point particles were on a unit sphere,and the existence of regular polygonal central configurations on two layer resting planes could be ruled out.The mathematical definition of central configuration was given,relationship between central configuration and gradient flow was discussed.

关 键 词：2N体问题 两层平面 中心构型 数学定义 存在性 梯度流 

分 类 号：O123.1[理学—数学]