2026-04-14T03:54:01Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/218062025-07-17T08:09:30Zcom_2072_1033col_2072_452950

A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model Lian, Yijun Gómez Muntané, Gerard Masdemont Soler, Josep Tang, Guojian Àrees temàtiques de la UPC::Matemàtiques i estadística Celestial mechanics Solar system Mecànica celest Sistema solar 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. Postprint (published version) 2013 Conference report http://www.iac2013.org/ http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain