Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II.
Francois Lalonde, Dusa McDuff (1995)
Inventiones mathematicae
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Francois Lalonde, Dusa McDuff (1995)
Inventiones mathematicae
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Francois Lalonde, Dusa McDuff (1995)
Inventiones mathematicae
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The classical D’Alembert Hamiltonian model for a rotational oblate planet revolving near a «day-year» resonance around a fixed star on a Keplerian ellipse is considered. Notwithstanding the strong degeneracies of the model, stability results a là Nekhoroshev (i.e. for times which are exponentially long in the perturbative parameters) for the angular momentum of the planet hold.