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A note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model
dc.contributor.author | Lian, Yijun |
dc.contributor.author | Gómez Muntané, Gerard |
dc.contributor.author | Masdemont Soler, Josep |
dc.contributor.author | Tang, Guojian |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2013-12-03T12:00:25Z |
dc.date.created | 2013-02 |
dc.date.issued | 2013-02 |
dc.identifier.citation | Lian, 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.identifier.issn | 0923-2958 |
dc.identifier.uri | http://hdl.handle.net/2117/20896 |
dc.description.abstract | In 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.extent | 27 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Three-body problem |
dc.subject.lcsh | Celestial mechanics |
dc.subject.other | Collinear libration point |
dc.subject.other | Earth-Moon system |
dc.subject.other | Fourier analysis |
dc.subject.other | Multiple shooting |
dc.subject.other | Quasi-periodic orbit |
dc.subject.other | Solar System restricted n-body problem |
dc.title | A note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model |
dc.type | Article |
dc.subject.lemac | Problema dels tres cossos |
dc.subject.lemac | Mecànica celest |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1007/s10569-012-9459-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs10569-012-9459-2 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 12365478 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Lian, Yijun.; Gómez Muntané, G.; Masdemont, J.J.; Tang, Guojian |
local.citation.publicationName | Celestial mechanics and dynamical astronomy |
local.citation.volume | 115 |
local.citation.number | 2 |
local.citation.startingPage | 185 |
local.citation.endingPage | 211 |
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