Opuscula Math. 30, no. 4 (2010), 495-506
On the relative equilibrium configurations in the planar five-body problem
Agnieszka Siluszyk
Abstract.
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.
Keywords:
planar five-body problem, relative equilibrium, central configuration, Grebenicov-Elmabsout model.
Mathematics Subject Classification:
70F10, 70F15, 83C10.
About the authors ▼
Agnieszka Siluszyk
University of Podlasie, Konarskiego 2, 08-110 Siedlce, Poland
About the article ▼
Received: 2010-02-13.
Revised: 2010-04-05.
Accepted: 2010-04-08.
Cite this article as ▼
Agnieszka Siluszyk, On the relative equilibrium configurations in the planar five-body problem, Opuscula Math. 30, no. 4 (2010), 495-506,
http://dx.doi.org/10.7494/OpMath.2010.30.4.495.
Download this article's citation as: