Statistics – Computation
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991azh....68..419b&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 68, Mar.-Apr. 1991, p. 419-430. In Russian.
Statistics
Computation
Celestial Bodies, Celestial Mechanics, Computational Astrophysics, Orbital Resonances (Celestial Mechanics), Rotation, Angular Velocity, Inertia, Moon, Orbital Mechanics, Phobos
Scientific paper
The mean resonant rotational motions of several celestial bodies are studied by constructing conditionally periodic solutions for Hamiltonian systems at complete resonance of the main frequencies. It is shown that some stationary motion which, although being close to the corresponding Cassini's motion, still differs from it, corresponds to the mean resonant rotational motion of a celestial body. The following mechanical phenomena are revealed and described: a discrepancy between the mean value of the angular velocity of the body's rotation and its exact resonant value; splitting of the Cassini node; constant displacement of the pole of the rotation axis of the celestial body with respect to the pole of its polar inertia axis; and constant angular shifts of the body's axes of inertia (with respect to the Cassini positions) at the moments of passage through the pericenter or the orbit node. Quantitative estimates of these effects in the motions of the moon and Phobos are presented.
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