Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976azh....53..170g&link_type=abstract
Astronomicheskii Zhurnal, vol. 53, no. 1, 1976, p. 170-177. In Russian.
Physics
Condensed Matter
Statistical Mechanics
Earth-Moon System, Lunar Rotation, Lunar Tides, Ellipsoids, Euler Equations Of Motion, Integral Equations, Librational Motion, Liouville Equations, Lunar Figure, Matrices (Mathematics), Moments Of Inertia, Selenography, Statistical Mechanics
Scientific paper
The inertial tensors of tides in an elastic compressible moon and of the moon as a whole are calculated relative to the axes of the moon's shape. It is noted that when the selenographic latitude and longitude of earth differ from zero, there are always products of lunar inertia relative to the axes of the moon's shape, implying turns of the ellipsoid of inertia relative to the ellipsoid of shape. It is shown that the amplitude of these turns is defined by a combination of Love numbers and is commensurate with the amplitude of physical libration. It is concluded that the Liouville equations should be employed in lunar-rotation theory and that use of the dynamic Euler equations is incorrect.
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