Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005a%26at...24...61b&link_type=abstract
Astronomical and Astrophysical Transactions, vol. 24, Issue 1, p.61-79
Astronomy and Astrophysics
Astronomy
4
Mercury'S Rotation, Mercury'S Gravitational Field, Moon'S Rotation, Cassini&Ndash, Colombo Motion, Resonant Librations
Scientific paper
Constant and periodic variations in the gravitational coefficients of the second harmonic of the gravitational potential of Mercury caused by the attraction of the Sun and its resonant rotation are studied on the basis of a planar model of translatory rotary motion of Mercury as an elastic body on an elliptical orbit. The main variations in the coefficients C20, C22 and S22 with periods that are a multiple of the orbit period have been obtained and evaluated for Mercury. Dynamic effects in the resonant rotation of Mercury considered as unchangeable non-spherical body (or as body with liquid core) are studied on the basis of two simple models: firstly, the plane motion on the unperturbed elliptical orbit; secondly, the rotation of Mercury on the precessing elliptical orbit. A few sets of possible values of Mercury's gravitational field parameters C20 and C22 are used in the paper for evaluations of the unperturbed, forced and resonant effects in Mercury's rotation (the Cassini positional parameters, amplitudes of periodic librations in longitude, and periods of resonant librations in the vicinity of Cassini Colombo motion). The results are compared with similar characteristics of the resonant rotational motion of the Moon, which have been obtained in parallel on the basis of the same models of motion.
Barkin Yu V.
Ferrándiz José Manuel
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