We consider the classical D'Alembert Hamiltonian model for a rotationally symmetric planet revolving on Keplerian ellipse around a ¯xed star in an almost exact day/year" resonance and prove that, notwithstanding proper degeneracies, the system is stable for exponentially long times, provided the oblateness and the eccentricity are suitably small.
Biasco, L., Chierchia, L. (2005). Exponential stability for the resonant D'Alembert model of Celestial Mechanics. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 12, 569-594.
Exponential stability for the resonant D'Alembert model of Celestial Mechanics
BIASCO, LUCA;CHIERCHIA, Luigi
2005-01-01
Abstract
We consider the classical D'Alembert Hamiltonian model for a rotationally symmetric planet revolving on Keplerian ellipse around a ¯xed star in an almost exact day/year" resonance and prove that, notwithstanding proper degeneracies, the system is stable for exponentially long times, provided the oblateness and the eccentricity are suitably small.File in questo prodotto:
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