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.
Titolo: | Exponential stability for the resonant D'Alembert model of Celestial Mechanics | |
Autori: | ||
Data di pubblicazione: | 2005 | |
Rivista: | ||
Citazione: | BIASCO L., & CHIERCHIA L (2005). Exponential stability for the resonant D'Alembert model of Celestial Mechanics. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 12, 569-594. | |
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. | |
Handle: | http://hdl.handle.net/11590/119204 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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