Convex Four-Body Central Configurations with Some Equal Masses

被引：0

作者：

Ernesto Perez-Chavela

Manuele Santoprete

机构：

[1] UAM–Iztapalapa,Departamento de Matemáticas

[2] Wilfrid Laurier University,Department of Mathematics

来源：

Archive for Rational Mechanics and Analysis | 2007年 / 185卷

关键词：

Relative Equilibrium; Body Problem; Equal Mass; Symmetry Line; Central Configuration;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that there is an unique convex noncollinear central configuration of the planar Newtonian four-body problem when two equal masses are located at opposite vertices of a quadrilateral and, at most, only one of the remaining masses is larger than the equal masses. Such a central configuration possesses a symmetry line and it is a kite-shaped quadrilateral. We also show that there is exactly one convex noncollinear central configuration when the opposite masses are equal. Such a central configuration also possesses a symmetry line and it is a rhombus.

引用

页码：481 / 494

页数：13

共 15 条

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