Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.107...93d&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 107, Issue 1-2, pp. 93-100
Astronomy and Astrophysics
Astronomy
2
Mercury, Planetary Rotation, Hamiltonian Formalism, Resonance, Great Inequality, Kernel Models
Scientific paper
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 into 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.
D'Hoedt Sandrine
Dufey Julien
Lemaître Anne
Noyelles Benoît
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