A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model
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hdl:2117/21806
Tipus de documentText en actes de congrés
Data publicació2013
Condicions d'accésAccés obert
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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.
CitacióLian, 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.
ISBN978-161839805-5
Versió de l'editorhttp://www.iac2013.org/
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