Mathematics – Logic
Scientific paper
Jun 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005kfnts...5..355l&link_type=abstract
Kinematika i Fizika Nebesnykh Tel, Suppl, v. 5, p. 355-358
Mathematics
Logic
Scientific paper
Based on the variational finite element method was carried out evaluation of the effects of visco-elastic mantle on luni-solar nutations. The finite element approach permits to take into account inhomogeneities as of the geometrical, so rheological characters in the Earth mantle. It makes possible to evaluate influence of the mantle visco-elasticity on the forced nutations by more accurate models of the shear quality factor of mantle distribution. One of such models is modificated model ``M_{1}'' of Dorofeev and Zharkov (1978). The resulting corrections of mantle visco-elasticity on the forced nutations were obtained for such models of shear quality factor of mantle distribution as: ``QMU'' of Sailor and Dziewonski (1978); ``B'' of Sipkin and Jordan (1980); ``PREM'' of Dziewonski and Anderson (1980); ``M_{1}'' of Dorofeev and Zharkov (1978). The comparison of the obtained data shows that results detecting for ``QMU'' and ``PREM'' models are very close, while calculation of absorption bands in the low mantle zone and D''-zone based on ``M_{1}'' model leads to increasing the corrections of mantle visco-elasticity about 10 percents for in-phase nutation components and about 40 percents for out-of phase components in comparison with ``QMU'' model.
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