On the relative equilibrium configurations in the planar five-body problem

Opuscula Mathematica

Agnieszka Siluszyk¹ 

[1] University of Podlasie, Konarskiego 2, 08-110 Siedlce, Poland;

关键词: planar five-body problem;    relative equilibrium;    central configuration;    Grebenicov-Elmabsout model;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2010.30.4.495

来源: DOAJ

【 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.

【 授权许可】

Unknown