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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
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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.
Àrees temàtiques de la UPC::Matemàtiques i estadística
Celestial mechanics
Solar system
Mecànica celest
Sistema solar
Attribution-NonCommercial-NoDerivs 3.0 Spain

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