Other
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd..10e..35b&link_type=abstract
Progress in Planetary Exploration Missions, 26th meeting of the IAU, Joint Discussion 10, 21-22 August 2006, Prague, Czech Repub
Other
Scientific paper
Constant and periodic tidal variations in the gravitational coefficients of second harmonics of gravitational potential of the Moon, Mercury and Titan caused by the attraction of their external bodies are described analytically. On the base of a plane model of translatory-rotary motion of the above-mentioned elastic bodies on elliptical orbits the main variations in the coefficients C[20], C[22], S[22] with periods multiple to the orbit period have been obtained and evaluated. Dynamical effects in resonant rotation of the Moon, Mercury and Titan considered as an unchangeable non-spherical bodies are studied on the basis of two models: firstly, the plane motion on the unperturbed elliptic orbit; secondly, the rotation on the precessing circular orbit. Peale's hydrostatic values of Titan gravitational field parameters C [20], C[22] (Peale, 1973) and two sets of their model values are used in paper to evaluate the unperturbed, forced and resonant effects in the rotation of Titan. For Mercury we use some average equilibrium model of elastic body rotating in resonance 3:2 with orbital motion. Another model of Mercury bases on the modern radio-location data obtained by Peale grope (2004). For the Moon well known dynamical characteristics are used. Obtained Cassini's positional parameters, amplitudes of periodic librations in longitude, periods of resonant librations and others characteristics of studied celestial bodies are given in mutual comparison. On the base of the mechanism of forced relative dynamics of the shells of celestial bodies (Barkin, 2002) due to gravitational attraction of external celestial bodies and evaluated oblateness the high endogenous activity of Titan has been predicted. This fact has obtained the confirmation in data of Cassini-Huygens mission. Especially we study resonant rotation of considered celestial bodies on the base of their models with the liquid core. The fundamental regularities (generalized Cassini's laws) and new effects in their rotation caused by the liquid core influence have been described and studied.
Barkin Yu V.
Ferrándiz José Manuel
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