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We model the effects of mantle anelasticity on luni-solar nutations, on tidal deformation, on tidal variations in rotation rate, and on the eigenfrequency of the free core nutation. Our results can be used to invert observations to solve for the anelastic contributions to the shear and bulk moduli of the upper and lower mantle. We use specific anelastic models to numerically estimate the effects of anelasticity on these geodetic observables. We compare our nutation estimates with observational results. Among our conclusions: (1) mantle anelasticity is likely to be the most important source of damping for the free core nutation; (2) present VLBI nutation results are, in principle, accurate enough to usefully bound anelasticity at diurnal periods. But, the discrepancy between the VLBI observed nutations and the 1984 IAU nutation model cannot be explained by anelasticity, and is not yet well enough understood to allow anelasticity to be determined from the data.
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Wahr et al. (1986) studied this question.
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