A class of periodic solutions of the N-body problem

dc.contributor.author	Zelati, Vittorio Coti
dc.date.accessioned	2014-10-30T13:36:09Z
dc.date.available	2014-10-30T13:36:09Z
dc.date.issued	1989
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/14091
dc.language.iso	en	en
dc.subject	N-body problem	en
dc.subject.ddc	519	en
dc.title	A class of periodic solutions of the N-body problem	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We 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.isversionofjnlname	Celestial Mechanics and Dynamical Astronomy
dc.relation.isversionofjnlvol	46	en
dc.relation.isversionofjnlissue	2	en
dc.relation.isversionofjnldate	1989
dc.relation.isversionofjnlpages	177-186	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/BF00053047	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Probabilités et mathématiques appliquées	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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