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.
- central configuration
- N-body problem