On the period and damping of polar motion

Details On the period and damping of polar motion On the period and damping of polar motion

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jgr....9620241g&link_type=abstract

(Conference on Mathematical Geophysics, 18th, Jerusalem, Israel, June 1990) Journal of Geophysical Research (ISSN 0148-0227), vo

Physics

Geophysics

3

Earth Mantle, Earth Motion, Earth Rotation, Geodetic Surveys, Nutation, Rheology, Elastic Properties, Energy Dissipation, Geodynamics

Scientific paper

The effects of the earth-mantle anelasticity, the earth's liquid core, and oceanic pole tides on the Chandler wobble are examined. It is shown that the solutions of Laplace's tidal equations at low frequencies significantly depend on terms of the order of the ratio of the frequency (sigma) to the angular velocity of the earth's rotation (omega). It is shown that, for the case when sigma = 0, there is an infinite set of solutions satisfying the fixed boundary conditions. In the limit sigma/(omega approaches 0), the solutions become unstable; hence, even very small errors of numerical integration significantly affect the final results. It is suggested that this fact can explain some disagreements arising in the dynamical theory of pole tides.

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