Opuscula Math. 30, no. 4 (2010), 495-506

Opuscula Mathematica

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.

Full text (pdf)

  • Agnieszka Siluszyk
  • University of Podlasie, Konarskiego 2, 08-110 Siedlce, Poland
  • Received: 2010-02-13.
  • Revised: 2010-04-05.
  • Accepted: 2010-04-08.
Opuscula Mathematica - cover

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:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.