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dc.contributor.authorZelati, Vittorio Coti
dc.date.accessioned2014-10-30T13:36:09Z
dc.date.available2014-10-30T13:36:09Z
dc.date.issued1989
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14091
dc.language.isoenen
dc.subjectN-body problemen
dc.subject.ddc519en
dc.titleA class of periodic solutions of the N-body problemen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove existence and multiplicity of T-periodic solutions (for any given T) for the N-body problem in ℝ m (any m ⩾ 2) where one of the bodies has mass equal to 1 and the others have masses εα2,...,∈α N , ε small. We find solutions such that the body of mass 1 moves close to x = 0 while the body of mass εαi 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.en
dc.relation.isversionofjnlnameCelestial Mechanics and Dynamical Astronomy
dc.relation.isversionofjnlvol46en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1989
dc.relation.isversionofjnlpages177-186en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF00053047en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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