Some notes on four-body co-circular central configurations

被引：6

作者：

Deng, Yiyang ^{[1
]}

Li, Bingyu ^{[2
]}

Zhang, Shiqing ^{[3
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Chengdu Univ Technol, Coll Management Sci, Chengdu 610059, Peoples R China

[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 01期

关键词：

Four-body problem; Co-circular central configurations; Isosceles trapezoid; Mutual distances; Kite; CONVEX CENTRAL CONFIGURATIONS; 4; BODIES; EQUAL MASSES; SYMMETRY; FINITENESS;

D O I：

10.1016/j.jmaa.2017.03.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are two symmetric families of four-body co-circular central configurations, namely the kite and isosceles trapezoid. Using mutual distances as coordinates, we prove that if the four-body central configuration is an isosceles trapezoid, then the diagonals of the isosceles trapezoid cannot be perpendicular to each other. Furthermore, we show that for any four-body co-circular central configuration, the diagonals of the quadrilateral cannot be perpendicular except that the configuration is a kite. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：398 / 409

页数：12

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