Internal gravitational and magnetic fields in the analysis of polar oscillations of the Earth's inner core

The problem of polar oscillations of the Earth's inner core was solved according to the Slichter-Busse procedure with account taken of the forces induced by the attraction of the asymmetric cover of the Earth and by the presence of a magnetic moment in the inner core. The internal gravitational and magnetic potentials were simulated in the form of the potentials of a single layer located on the spherical surface of the outer core. Two models of the gravitational potential were considered. The first was constructed on the basis of the external gravitational field of the Earth and the second model was based on seismic data. It was found that the choice of the model has no appreciable effect on the frequency of possible oscillations of the inner core and strongly affects the displacement of the Earth's core.