ON THE RELATIVE EQUILIBRIUM CONFIGURATIONS IN THE PLANAR FIVE-BODY PROBLEM

被引：0
作者：
Siluszyk, Agnieszka [1 ]
机构：
[1] Univ Podlasie, Konarskiego 2, PL-08110 Siedlce, Poland
来源：
OPUSCULA MATHEMATICA | 2010年 / 30卷 / 04期
关键词：
planar five-body problem; relative equilibrium; central configuration; Grebenicov-Elmabsout model;
D O I：
10.7494/OpMath.2010.30.4.495
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The number of central configurations in the Grebenicov-Elmabsout model of the planar five-body problem is estimated. An appropriate rational parameterization is used to reduce the equations defining such configurations to some polynomial ones. For the restricted five-body problem a sharp estimation is given by using the Sturm separation theorem.
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收藏
页码：495 / 506
页数：12
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