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dc.contributor.authorOllé Torner, Mercè
dc.contributor.authorRodríguez del Río, Óscar
dc.contributor.authorSoler Villanueva, Jaume
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2021-06-08T08:05:11Z
dc.date.issued2020-11-01
dc.identifier.citationOlle, M.; Rodriguez, O.; Soler, J. Analytical and numerical results on families of n-ejection-collision orbits in the RTBP. "Communications in nonlinear science and numerical simulation", 1 Novembre 2020, vol. 90, núm. November, p. 105294:1-105294:27.
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/2117/346801
dc.description© 2020. Elsevier
dc.description.abstractIn the planar RTBP with mass ratio µ we regularise the singularity at one of the primaries by means of Levi-Civita’s transformation in a rotating frame. We solve the variational equations in a neighbourhood of the ejection/collision orbits, giving analytic expressions for the first terms in µ of the convergent expansion for orbits with eccentricity e¿¿¿1. For high enough values of the Jacobi constant C we give analytic expressions for the coefficients of the above expansion in powers of the small parameter and we prove the existence of four families of the so called n-ejection-collision (EC) orbits, that are orbits which eject from the primary and reach n relative maxima in the distance with the primary before finally colliding with it. Moreover, massive numerical explorations extending the analytical result for any value of the mass ratio and bigger ranges of C are also shown and discussed.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherEjection
dc.subject.otherCollision
dc.subject.otherRegularisation
dc.subject.otherManifold
dc.titleAnalytical and numerical results on families of n-ejection-collision orbits in the RTBP
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.identifier.doi10.1016/j.cnsns.2020.105294
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S100757042030126X
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac28894819
dc.description.versionPostprint (author's final draft)
dc.date.lift2022-11
local.citation.authorOlle, M.; Rodriguez, O.; Soler, J.
local.citation.publicationNameCommunications in nonlinear science and numerical simulation
local.citation.volume90
local.citation.numberNovember
local.citation.startingPage105294:1
local.citation.endingPage105294:27


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