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Exponential stability for the resonant D'Alembert model of celestial mechanics

机译:Exponential stability for the resonant D'Alembert model of celestial mechanics

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摘要

We consider the classical D'Alembert Hamiltonian model for a rotationally symmetric planet revolving on Keplerian ellipse around a fixed 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.

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