The inverse problem for collinear central configurations

被引：32

作者：

Albouy, A ^{[1
]}

Moeckel, R ^{[1
]}

机构：

[1] Inst Mecan Celeste, F-75014 Paris, France

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2000年 / 77卷 / 02期

关键词：

inverse problem; n-body problem; central configuration;

D O I：

10.1023/A:1008345830461

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the problem: given a collinear configuration of n bodies, find the masses which make it central. We prove that for n less than or equal to 6, each configuration determines a one-parameter family of masses (after normalization of the total mass). The parameter is the center of mass when n is even and the square of the angular velocity of the corresponding circular periodic orbit when n is odd. The result is expected to be true for any n.

引用

页码：77 / 91

页数：15

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