A secondary resonance in Mercury's rotation

Sandrine D'Hoedt, Benoît Noyelles, Julien Dufey, Anne Lemaître

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    The resonant rotation of Mercury can be modelised by a kernel model on which we can add perturbations. Our kernel model is a two-degree of freedom one written in Hamiltonian formalism. For this kernel, we consider that Mercury is solid and rotates on a keplerian orbit. By introducing the perturbations due to the other planets of the Solar System, it appears that, in a particular case, our slow degree of freedom may enter in a 1:1 resonance with the Great Inequality of Jupiter and Saturn. Actually, as the moments of inertia of Mercury are still poorly known, this phenomenon cannot be excluded.
    langue originaleAnglais
    journalCelestial Mechanics and Dynamical Astronomy
    Etat de la publicationNon publié - 2010

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