Open AccessOn the relative equilibrium configurations in the planar five-body problem
Author(s) -
Agnieszka Siluszyk
Publication year - 2010
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2010.30.4.495
Subject(s) - mathematics , planar , combinatorics , mathematical analysis , mathematical economics , computer science , computer graphics (images)
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
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