Título:
|
A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model
|
Autor/a:
|
Lian, Yijun; Gómez Muntané, Gerard; Masdemont Soler, Josep; Tang, Guojian
|
Otros autores:
|
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
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. |
Materia(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística -Celestial mechanics -Solar system -Mecànica celest -Sistema solar |
Derechos:
|
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Tipo de documento:
|
Artículo - Versión publicada Objeto de conferencia |
Compartir:
|
|