Statistics – Computation
Scientific paper
Jul 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997geoji.130..137s&link_type=abstract
Geophysical Journal International, Vol. 130, No. 1, p. 137 - 150
Statistics
Computation
22
Earth Rotation: Nutation, Earth: Models
Scientific paper
The frequency-dependent correction coefficients with respect to the forced nutations of a rigid Earth are computed using the complex scalar gravitational motion equations for an Earth model with an anelastic mantle. Oceanic loads and tidal currents enter the model via outer boundary conditions. The ellipticity of the core-mantle boundary and the dynamical ellipticity are adjusted to observations. This requires the behaviour inside the model Earth to be regarded as non-hydrostatic. Some relevant equations for the evaluation of boundary conditions and some terms in the equations of motion are expanded to second order in ellipticity. The computation of the equipotential surface ellipticity profile is carried to second order as well. These second-order expansions lead to increased accuracy of the results in general. Moreover, one achieves a better reliability for the integration at frequencies close to a resonance. This allows the integration of the equations of motion at any relevant nutation period without the need for a normal-mode expansion. A complete new nutation series for a realistic model Earth is presented.
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