Statistics – Computation
Scientific paper
Aug 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997geoji.130..326g&link_type=abstract
Geophysical Journal International, Vol. 130, No. 2, p. 326 - 334
Statistics
Computation
15
Earth Rotation: Nutation, Earth Rotation: Chandler Wobble, Earth Rotation: Earth Core, Earth Rotation: Earth Mantle
Scientific paper
The Hamiltonian formalism was recently applied by Getino (1995) for the study of the rotation of a non-rigid earth with a heterogeneous and stratified liquid core. That earth model is generalized here by including the effect of the dissipation arising from the mantle-core interaction, using a model similar to that of Sasao, Okubo and Saito (1980), which includes both viscous and electromagnetic coupling. First, a solution for the free nutations is obtained following a classical approach, which in the authors' opinion is more familiar to most of the readers than the Hamiltonian treatment. This solution provides a theoretical basis clear enough to study both the qualitative and quantitative effects of the dissipations considered in the hypotheses. The main qualitative features are, besides the delays, that the free core nutation (FCN) suffers and exponential damping, while the Chandler wobble (CW) is not damped at first order by the dissipation considered. The numerical values obtained for the complex compliances agree with the most recent experimental computations. Next, the problem is studied under a Hamuiltonian formalism, and a solution equivalent to the above is obtained. Besides its interest from a theoretical point of view, this formalism is necessary in order to apply canonical perturbation methods in order to obtain analyical nutation series.
Ferándiz J. M.
Getino Juan
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