@Article{Siluszyk2010,
author = "Siluszyk, Agnieszka",
title = "On the relative equilibrium configurations in the planar five-body problem",
journal = "Opuscula Math.",
year = "2010",
volume = "30",
number = "4",
pages = "495--506",
doi = "http://dx.doi.org/10.7494/OpMath.2010.30.4.495",
url = "http://dx.doi.org/10.7494/OpMath.2010.30.4.495",
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",
issn = "1232-9274"
}