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

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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. © 1991 Kluwer Academic Publishers.
Original languageEnglish
Pages (from-to)89-96
JournalCelestial Mechanics and Dynamical Astronomy
Issue number1
Publication statusPublished - 1 Mar 1990


  • central configuration
  • N-body problem


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