Celestial Mechanics and Dynamical Astronomy

, Volume 50, Issue 1, pp 89–96

On the number of central configurations in the N-body problem

  • Jaume Llibre

DOI: 10.1007/BF00048988

Cite this article as:
Llibre, J. Celestial Mech Dyn Astr (1990) 50: 89. doi:10.1007/BF00048988


Central configurations are critical points of the potential function of the n-body problem restricted to the topological sphere where the moment of inertia is equal to constant. For a given set of positive masses m1,..., mn we denote by N(m1, ..., mn, k) the number of central configurations' of the n-body problem in ℝk modulus dilatations and rotations. If mn1,..., mn, k) is finite, then we give a bound of N(m1,..., mn, k) which only depends of n and k.

Key words

N-body problemcentral configuration

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Jaume Llibre
    • 1
  1. 1.Departament de MatemàatiquesUnivesitat Autònoma de BarcelonaBarcelonaSpain