A secondary resonance in Mercury's rotation

Résultats de recherche: Contribution à un journal/une revueArticle

Résumé

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
étatNon publié - 2010

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degrees of freedom
perturbation
Saturn
moments of inertia
Jupiter (planet)
inertia
Jupiter
solar system
planets
planet
formalism
orbits
mercury
freedom

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title = "A secondary resonance in Mercury's rotation",
abstract = "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.",
author = "Sandrine D'Hoedt and Beno{\^i}t Noyelles and Julien Dufey and Anne Lema{\^i}tre",
year = "2010",
language = "English",
journal = "Celest. Mech & Dyn. Astron.",
issn = "0923-2958",
publisher = "Springer Netherlands",

}

A secondary resonance in Mercury's rotation. / D'Hoedt, Sandrine; Noyelles, Benoît; Dufey, Julien; Lemaître, Anne.

Dans: Celestial Mechanics and Dynamical Astronomy, 2010.

Résultats de recherche: Contribution à un journal/une revueArticle

TY - JOUR

T1 - A secondary resonance in Mercury's rotation

AU - D'Hoedt, Sandrine

AU - Noyelles, Benoît

AU - Dufey, Julien

AU - Lemaître, Anne

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Article

JO - Celest. Mech & Dyn. Astron.

JF - Celest. Mech & Dyn. Astron.

SN - 0923-2958

ER -