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dc.contributor.authorLian, Yijun
dc.contributor.authorGómez Muntané, Gerard
dc.contributor.authorMasdemont Soler, Josep
dc.contributor.authorTang, Guojian
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.identifier.citationLian, Yijun. [et al.]. A note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model. "Celestial mechanics and dynamical astronomy", Febrer 2013, vol. 115, núm. 2, p. 185-211.
dc.description.abstractIn this paper we study the dynamics of a massless particle around the L 1,2 libration points of the Earth–Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi-periodic solutions around the two collinear equilibrium points. For the analysis and computation of the quasi-periodic orbits, a new iterative algorithm is introduced which is a combination of a multiple shooting method with a refined Fourier analysis of the orbits computed with the multiple shooting. Using as initial seeds for the algorithm the libration point orbits of Circular Restricted Three Body Problem, determined by Lindstedt-Poincaré methods, the procedure is able to refine them in the Solar System force-field model for large time-spans, that cover most of the relevant Sun–Earth–Moon periods.
dc.format.extent27 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshThree-body problem
dc.subject.lcshCelestial mechanics
dc.subject.otherCollinear libration point
dc.subject.otherEarth-Moon system
dc.subject.otherFourier analysis
dc.subject.otherMultiple shooting
dc.subject.otherQuasi-periodic orbit
dc.subject.otherSolar System restricted n-body problem
dc.titleA note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model
dc.subject.lemacProblema dels tres cossos
dc.subject.lemacMecànica celest
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
local.citation.authorLian, Yijun.; Gómez Muntané, G.; Masdemont, J.J.; Tang, Guojian
local.citation.publicationNameCelestial mechanics and dynamical astronomy

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