On the relative equilibrium configurations in the planar five-body problem
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...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2010-01-01
|
Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol30/4/art/opuscula_math_3037.pdf |
Summary: | 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. |
---|---|
ISSN: | 1232-9274 |