FINITENESS OF RELATIVE EQUILIBRIA IN THE PLANAR GENERALIZED N-BODY PROBLEM WITH FIXED SUBCONFIGURATIONS

被引：6

作者：

Hampton, Marshall ^{[1
]}

Jensen, Anders Nedergaard ^{[2
]}

机构：

[1] UMD, Duluth, MN 55812 USA

[2] Dept Math, Aarhus, Denmark

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2015年 / 7卷 / 01期

关键词：

N-body problem; relative equilibria; vortices; celestial mechanics; central configurations; CONFIGURATIONS; BODIES;

D O I：

10.3934/jgm.2015.7.35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.

引用

页码：35 / 42

页数：8

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