Analytical theory of rotational motion of the Moon and dynamical effects caused by its liquid core

Details Analytical theory of rotational motion of the Moon and dynamical effects caused by its liquid core Analytical theory of rotational motion of the Moon and dynamical effects caused by its liquid core

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008epsc.conf..141b&link_type=abstract

European Planetary Science Congress 2008, Proceedings of the conference held 21-25 September, 2008 in Münster, Germany. Online a

Computer Science

Scientific paper

Abstract. In the work the analytical theory of forced librations of the Moon considered as a celestial body with a liquid core and rigid non -spherical mantle is developed. For the basic variables: Andoyer, Poincare and Eulerian angles, and also for various dynamic characteristics of the Moon the tables for amplitudes and phases of perturbations of the first order have been constructed. Resonant periods of free l ibrations have been estimated. The influence of a liquid core results in decreasing of the period of librations in longitude approximately on 0.316 day, and in change of the period of free wandering a pole of the Moon on 25.8 days. In the first approximati on the liquid core does not render influence on the value of Cassini's inclination and on the period of precession of the angular momentum vector. However it causes an additional "quasi-diurnal" librations with period about 27.165 days. In comparison with model of rigid nonspherical of the Moon the presence of a liquid core should result in increase of amplitudes of the Moon librations on 0.06 %.

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