On the uniqueness of trapezoidal four-body central configurations

被引：6
作者：
Santoprete, Manuele [1 ]
机构：
[1] Wilfrid Laurier Univ, Dept Math, 75 Univ Ave West, Waterloo, ON N2L 3C5, Canada
来源：
NONLINEARITY | 2021年 / 34卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
celestial mechanics; four-body problem; central configurations; trapezoidal four-body problem; CONVEX CENTRAL CONFIGURATIONS; RELATIVE EQUILIBRIA; 2; PAIRS; FINITENESS; SYMMETRY; TOPOLOGY;
D O I：
10.1088/1361-6544/abbe61
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study central configurations of the Newtonian four-body problem that form a trapezoid. Using a topological argument we prove that there is at most one trapezoidal central configuration for each cyclic ordering of the masses.
引用
收藏
页码：424 / 437
页数：14
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