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

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

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..50...89l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 50, Issue 1, pp.89-96

Astronomy and Astrophysics

Astronomy

Scientific paper

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 m 1,..., m n we denote by N(m 1, ..., m n, k) the number of central configurations' of the n-body problem in ℝk modulus dilatations and rotations. If m n 1,..., m n, k) is finite, then we give a bound of N(m 1,..., m n, k) which only depends of n and k.

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