Abstract
We focus on the dynamics of a small particle near the Lagrangian points of the Sun-Jupiter system. To try to account for the effect of Saturn, we develop a specific model (a restricted four body problem) based on the computation of a true solution of the planar three-body problem for Sun, Jupiter and Saturn. Then, we study the dynamics of this model near the triangular points. The tools are based on computing, up to high order, suitable normal forms and first integrals.
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References
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Celletti, A. and Giorgilli, A.: 1991, On the stability of the Lagrangian points in the spatial Restricted Three Body Problem, Celestial Mech., 50 (1) 31–58.
Gabern F. and Jorba À.: 2001, A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system, Discrete and Continuous Dynamical Systems–series B, 1 (2) 143–182.
Jorba À.: 1999, A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems, Exp. Math., 8 (2) 155–195.
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© 2002 Springer Science+Business Media Dordrecht
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Gabern, F., Jorba, À. (2002). On the Triangular Points of the Sun-Jupiter System. In: Celletti, A., Ferraz-Mello, S., Henrard, J. (eds) Modern Celestial Mechanics: From Theory to Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2304-6_27
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DOI: https://doi.org/10.1007/978-94-017-2304-6_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6078-5
Online ISBN: 978-94-017-2304-6
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