Computer Science – Numerical Analysis
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010dps....42.2903n&link_type=abstract
American Astronomical Society, DPS meeting #42, #29.03; Bulletin of the American Astronomical Society, Vol. 42, p.997
Computer Science
Numerical Analysis
Scientific paper
We present an adaptation of the Poincare model of core-mantle interaction (Poincare 1910, Touma & Wisdom 2001) to Mercury, in which the planet is seen as composed of a rigid mantle and an elliptical liquid core. Thanks to a Hamiltonian formulation, we perform extensively both an analytical (Lie transforms) and a numerical analysis of this 4-degree of freedom problem. This allows us to highlight a long-term behavior of the obliquity, the consequences of the proximity of a resonance between the spin frequency of Mercury and the free core nutation, and also the influence of the polar flattening of the core.
Dufey Julien
Lemaître Aristide
Noyelles Benoît
ROMEO Team
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