Relaxation and free modes of a self-gravitating planet

Details Relaxation and free modes of a self-gravitating planet Relaxation and free modes of a self-gravitating planet

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984geoj...77..789c&link_type=abstract

Geophysical Journal (ISSN 0016-8009), vol. 77, June 1984, p. 789-808.

Mathematics

Logic

3

Earth (Planet), Free Vibration, Geodynamics, Planetary Gravitation, Prestressing, Vibration Mode, Earth Crust, Relaxation, Rheology, Stress-Strain Relationships

Scientific paper

The relaxation and purely radial free modes of a planet subject to a nonhydrostatic prestress caused by gravity and evidenced by the presence of high mountain ranges and deep abyssal plains are studied. It is shown that there is an infinite set of rheological models of the same type for the planet which have the same relaxation time. Additional information on the behavior of the material is needed to better specify the model. The prestress is shown to shift the period of each purely radial free mode of the planet.

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