DPS Pasadena Meeting 2000, 23-27 October 2000
Session 61. Dynamics Posters
Displayed, 1:00pm, Monday - 1:00pm, Friday, Highlighted Tuesday and Thursday, 3:30-6:30pm, C101-C105, C211

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[61.01] Analytical and numerical results on the stability of a planetary precessional model

G. Della Penna (Observatoire de Nice)

A model for planetary precession is investigated using analytical and numerical techniques. A Hamiltonian function governing the model is derived in terms of action--angle Andoyer--Déprit variables under the assumption of equatorial symmetry. As a first approximation a simplified Hamiltonian with zero--eccentricity is considered and stability estimates are derived using KAM theory. A validation of the analytical results is performed computing Poincaré surfaces of section. We also investigate the role of the eccentricity and its connection with the appearance of resonances.

Special attention is devoted to the particular case of the Earth-Moon system.

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