2026-04-17T05:54:08Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/218062025-07-17T08:09:30Zcom_2072_1033col_2072_452950
RECERCAT
author
Lian, Yijun
author
Gómez Muntané, Gerard
author
Masdemont Soler, Josep
author
Tang, Guojian
2013
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)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain
Àrees temàtiques de la UPC::Matemàtiques i estadística
Celestial mechanics
Solar system
Mecànica celest
Sistema solar
A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model
Conference report