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

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

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.
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
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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