A class of periodic solutions of the N-body problem |
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Authors: | Vittorio Coti Zelati |
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Institution: | (1) CEREMADE, Université de Paris Dauphine, UA CNRS no 749, Place du M. de Lattre de Tassigny, 75575 Paris Cedex 16, France;(2) Present address: SISSA, strada Costiera, 11, 34014 Trieste, Italy |
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Abstract: | We prove existence and multiplicity of T-periodic solutions (for any given T) for the N-body problem in
m
(any m 2) where one of the bodies has mass equal to 1 and the others have masses 2,...,
N
, small. We find solutions such that the body of mass 1 moves close to x = 0 while the body of mass i moves close to one of the circular solutions of the two body problem of period T/k
i, where ki is any odd number. No relation has to be satisfied by k
2,...,k
N. |
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Keywords: | |
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