Mathematics
Scientific paper
Dec 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phdt........29s&link_type=abstract
Ph.D. Thesis Texas Univ., Austin.
Mathematics
Earth (Planet), Mathematical Models, Planetary Rotation, Equations Of Motion, Gravitational Effects, Tides, Time Dependence
Scientific paper
An investigation is made of the rotational dynamics of a deformable, nonrigid earth and its time-varying gravitational field. The concept of the potential Love number is developed by means of potential equilibrium theory under the assumption of a radial distribution of density. An expression is developed for the sum of the moments of inertia of a deformable body under the influence of disturbing forces. It is shown that this expression is a constant if incompressibility is assumed. Approximate analytic solutions to the Liouville equations of motion are presented along with numerical results pertaining to the solution of the equations of motion, including polar motion with respect to a body-fixed coordinate system and motions with respect to an inertial coordinate system and quantitative results for the time-dependent components of the coefficients of the geopotential.
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