On the number of central configurations in the N-body problem |
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| Authors: | Jaume Llibre |
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| Institution: | (1) Departament de Matemàatiques, Univesitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, Spain |
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| Abstract: | 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  k 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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| Keywords: | N-body problem central configuration |
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