Dynamic role of the liquid core of Mercury in its motion on Cassini's laws and in resonant librations

Details Dynamic role of the liquid core of Mercury in its motion on Cassini's laws and in resonant librations Dynamic role of the liquid core of Mercury in its motion on Cassini's laws and in resonant librations

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007epsc.conf..259b&link_type=abstract

European Planetary Science Congress 2007, Proceedings of a conference held 20-24 August, 2007 in Potsdam, Germany. Online at ht

Physics

Scientific paper

Introduction New approaches to the study of Mercury dynamics and the construction of analytical theory of its resonant rotation are suggested. Within these approaches Mercury is considered as a system of two non-spherical interacting bodies: a core and a mantle. The mantle of Mercury is considered as non-spherical, rigid (or elastic) layer. Inner shell is a liquid core, which occupies a large ellipsoidal cavity of Mercury. This Mercury system moves in the gravitational field of the Sun in resonant traslatoryrotary regime 3n = 2Omega (n is the mean orbital motion and Omega is the rotational angular velocity). In considered model Mercury moves on elliptical precessing orbit with inclination to Laplace plane i = 7`0029 and with eccentricity e = 0.2056. The orbit plane precesses with respect to normal nL to Laplace plane with the small angular velocity n<0, executing the return (regressive) motion. We have n/n = -0.8294·10-6. For the study of Mercury rotation we have been used specially designed author's canonical equations of motion in Andoyer and Poincare variables.

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