On the number of central configurations in theN-body problem

✍ Scribed by Jaume Llibre

• Publisher: Springer Netherlands
• Year: 1991
• Tongue: English
• Weight: 361 KB
• Volume: 50
• Category: Article
• ISSN: 1572-9478
• DOI: 10.1007/bf00048988

✦ Synopsis

Central configurations axe critical points of the potential function of the nbody problem restricted to the topological sphere where the moment of inertia is equal to constant. For a given set of positive masses ml,..., mn we denote by N(ml,..., ran, k) the number of central configurations" of the n-body problem in 1t k modulus dilatations and rotations. If N(ml,..., ran, k) is finite, then we give a bound of N(ml,..., ran, k) which only depends of n and k.