VLBI observations of nutation, its geophysical excitations and determination of some Earth model parameters

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Very Long-baseline Interferometry (VLBI) has been used to observe nutation for more than 25 years, with ever increasing accuracy. The amplitudes and phases of individual nutation terms are sensitive to some parameters of the geophysical Earth model. Dominant are the resonant period P and quality factor Q of retrograde Free Core Nutation (FCN) that depend on the flattening of the outer fluid core. The period (in celestial frame) is approximately equal to 430 days. In principle, all nutation terms are affected by these resonance effects, but the most affected is the annual retrograde term that is closest to the resonance. Nutation is dominantly driven by external torques, and it contains, as a multiplicative factor, the dynamical ellipticity of the Earth. Relatively small (near-diurnal in terrestrial frame) geophysical excitations are amplified by the resonance, so they also have non-negligible influence on nutation. The aim of the present study is to take these effects into consideration and determine the period and quality factor of the Earth at the FCN frequency. An attempt to derive from them also the dynamical flattening of the whole Earth and its fluid core is made, taking into account other effects, such as electro-magnetic coupling between the core and the mantle.

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