HR: 1340h
AN: G43A-0805    [Abstracts]
TI: Characterization of Instabilities in the Tidal Deformation of a Plaetary Body
AU: * Frey, S E
EM: sfrey@math.arizona.edu
AF: California State University, Hayward, Department of Mathematics and Computer Science 25800 Carlos Bee Blvd., Hayward, CA 94542 United States
AU: Hurford, T
EM: hurfordt@lpl.arizona.edu
AF: University of Arizona, Lunar and Planetary Lab 1629 University Ave., Tucson, AZ 85721 United States
AU: Greenberg, R
EM: greenberg@lpl.arizona.edu
AF: University of Arizona, Lunar and Planetary Lab 1629 University Ave., Tucson, AZ 85721 United States
AB: 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.
DE: 1227 Planetary geodesy and gravity (5420, 5714, 6019)
DE: 1249 Tides--Earth
SC: Geodesy [G]
MN: 2004 AGU Fall Meeting