Homographic Solutions of the N-body Generalized Lennard-Jones System

被引：1
|
作者：
Liu, Bo Wen [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2020年 / 36卷 / 05期
关键词：
Homographic solution; Lennard-Jones potential; non-planar circular solution; PERIODIC-SOLUTIONS;
D O I：
10.1007/s10114-020-8252-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the (2 + N)- and (3 + N)-body problems of the Lennard-Jones system. These results show the essential difference between the Lennard-Jones potential and the Newton's potential of universal gravitation.
引用
收藏
页码：597 / 604
页数：8
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