Physics
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jgr....9821659b&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 98, no. B12, p. 21659-21676
Physics
15
Earth Rotation, Elastic Deformation, Ellipticity, Gravitational Effects, Mathematical Models, Nutation, Spheroids, Asphericity, Lunar Tides, Perturbation, Tides
Scientific paper
We determine the deformation produced by the lunisolar tidal potential in a rotating, spheroidal model Earth. We proceed by decomposing the equations of motion into separate, though coupled, equations for the nutational and deformational parts of the Earth's response. Using this scheme, we derive a simpler set of equations for the deformational displacements, where the driving forces include not only the tidal terms but also inertial forces and gravitational perturbations associated with the nutational motions. We show that the deformations are affected only to a very small extent by the Earth's asphericity and rotation. This fact is exploited to set up a perturbative procedure, whereby the equation governing the deformation is separated into equations of zeroth and first orders in the perturbation.
Buffett Bruce Allen
Herring Thomas A.
Mathews P. M.
Shapiro Irwin I.
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