Effect of the Core Rigidity on the Spectrum Splitting and on the Torsional Frequency of the Earth with Special Reference to the Possibility of Estimating the Core Rigidity

Abstract

To make clear the features of the spectrum splitting due to the introduction of a soft solid core, the frequency and spectral amplitude of torsional oscillations are calculated for the modes with colatitudinal order number n from 2 to 9, assuming GUTENBERG-BULLEN A′ earth model. The only deviation from the G-B model is the assumption that the distribution of rigidity is constant in the core. The possibillity of estimating the rigidity of the core by the use of spectrum splitting was discussed.