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A note on the dynamics around the Lagrange 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 | 2014-02-28T10:59:44Z |
dc.date.available | 2014-02-28T10:59:44Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Lian, Yijun [et al.]. A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model. A: International Astronautical Congress. "64rd International Astronautical Congress". 2013, p. 1-13. |
dc.identifier.isbn | 978-161839805-5 |
dc.identifier.uri | http://hdl.handle.net/2117/21806 |
dc.description.abstract | This paper studies the dynamics of a massless particle around the 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 equilibrium points. For the analysis and computation of the quasi - periodic orbits, a novel iterative algorithm is introduced which is a combination of the multiple shooti ng method and a refined Fourier analysis of the orbits computed with the multiple shooting. Using as initial seeds the libration point orbits of Circular Restricted Three Body Problem, determined by Lindstedt - Poincar é methods, the procedure is able to refi ne them in a complete Solar System model for large time - spans covering most of the relevant Sun - Earth - Moon periods. For the collinear points, the developed approach works well and reveals the strong relevance of the phase space around the equilibrium point s in both models. For the triangular points, difficulties appear and an intermediate model (bicircular model, BCM) is introduced to aid the refinement. |
dc.format.extent | 13 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 | Celestial mechanics |
dc.subject.lcsh | Solar system |
dc.title | A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model |
dc.type | Conference report |
dc.subject.lemac | Mecànica celest |
dc.subject.lemac | Sistema solar |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.relation.publisherversion | http://www.iac2013.org/ |
dc.rights.access | Open Access |
local.identifier.drac | 13043339 |
dc.description.version | Postprint (published version) |
local.citation.author | Lian, Yijun; Gómez Muntané, G.; Masdemont, J.J.; Tang, Guojian |
local.citation.contributor | International Astronautical Congress |
local.citation.publicationName | 64rd International Astronautical Congress |
local.citation.startingPage | 1 |
local.citation.endingPage | 13 |