Central configurations formed by two twisted regular polygons

被引：8
|
作者：
Yu, Xiang [1 ]
Zhang, Shiqing [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 01期
关键词：
Twisted N plus L-body problems; Central configurations; RELATIVE EQUILIBRIA; FINITENESS; PLANAR;
D O I：
10.1016/j.jmaa.2014.12.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-regular polygon). We wish to extend the results of the symmetrical central configurations formed by two twisted N-regular polygons, however, to our own surprise, it will be proved that the necessary condition on the central configurations is L = N. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：372 / 380
页数：9
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