Classification of all planar central configurations of N bodies with equal masses in the case of the logarithmic potential and N < 8

Jean-Charles Faugère 1, 2
1 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
2 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : First we give a new way to model the problem using complex numbers and elementary symetric functions. The new equations can be solved by hand for N=4 and several infinite families can be found using this new formulation. By using Groebner bases computations we are able to make a complete classification of the solutions for N=4,5,6,7. For N < 8 there is a always a finite number of solutions and a symmetry.
Type de document :
Communication dans un congrès
8th International Conference on Applications of Computer Algebra - ACA 2002, 2002, Volos, Greece. 2002
Liste complète des métadonnées

https://hal.inria.fr/inria-00100999
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 14:53:24
Dernière modification le : mercredi 21 mars 2018 - 18:58:14

Identifiants

  • HAL Id : inria-00100999, version 1

Collections

Citation

Jean-Charles Faugère. Classification of all planar central configurations of N bodies with equal masses in the case of the logarithmic potential and N < 8. 8th International Conference on Applications of Computer Algebra - ACA 2002, 2002, Volos, Greece. 2002. 〈inria-00100999〉

Partager

Métriques

Consultations de la notice

88