Displaying similar documents to “Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II (Erratum).”

Nekhoroshev stability for the D’Alembert problem of Celestial Mechanics

Luca Biasco, Luigi Chierchia (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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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.