Physics
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufm.g43a0805f&link_type=abstract
American Geophysical Union, Fall Meeting 2004, abstract #G43A-0805
Physics
1227 Planetary Geodesy And Gravity (5420, 5714, 6019), 1249 Tides: Earth
Scientific paper
In 1911, A.E.H. Love published a linear elastic model for the tidal amplitude of a uniform, compressible, self-gravitating body. Our recent numerical evaluations of the solution to Love's governing equations reveal portions of parameter space for which an infinitesimal tide raiser can raise a tide of arbitrary height. In addition, using a solution technique different from Love's, investigations have been made into the effect of allowing non-uniform, radially varying density and elasticity in Love's formulation. It has been found that the tidal instabilities persist when the body initially has a radially varying density profile. To further investigate the nature of the tidal instabilities, an exact elastic formulation of the self-gravitational collapse of a uniform sphere is considered. Analysis reveals that the instability curves observed in Love's tidal solution for a uniform sphere and in the tidal solution for a sphere with radially varying density and elasticity correspond to various unstable modes of self-gravitation.
Frey Sarah E.
Greenberg Richard
Hurford Terry
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