Physics
Scientific paper
Dec 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003agufm.g21c0278f&link_type=abstract
American Geophysical Union, Fall Meeting 2003, abstract #G21C-0278
Physics
1227 Planetary Geodesy And Gravity (5420, 5714, 6019), 1249 Tides: Earth, 1255 Tides: Ocean (4560)
Scientific paper
In 1911, A.E.H. Love published a linear elastic model for the tidal amplitude of a uniform, compressible, self-gravitating body. Recent numerical evaluations of the solution to his governing equations reveal portions of parameter space for which infinitesimal tide raisers can raise tides of arbitrary height. In addition, using a solution technique somewhat different from Love's, investigations have been made into the effect of allowing non-uniform, radially varying material parameters in Love's formulation. The solution depends only on the effective gravitational rigidity, ρ g R / μ , and the ratio of rigidity to Lamé constant, μ / λ . It has been found that the tidal instabilities persist when the body has a radially dependent density profile. However, as the magnitude of the density variation is increased, the singularity can be stabilized for certain fixed nonzero values of the rigidity and compressibility. In the two dimensional projection of the phase space (defined by the two ratios mentioned previously), it can be seen that increasing the magnitude of the density variation tends to move the location of the singularities out of the region of "physically significant" material parameters.
Frey Sarah E.
Greenberg Richard J.
Hurford Terry A.
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