On the problem of stability for near to integrable Hamiltonian systems.
Giorgilli, Antonio (1998)
Documenta Mathematica
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Displaying similar documents to “Dynamical systems -- past and present.”
On the problem of stability for near to integrable Hamiltonian systems.
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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.