On the Question of an Analytical Estimate of Some Internal Sizes of the Earth

Using a model representation of the motion of the Earth’s core in a viscous continuum, its equation of motion has been obtained and the linear size of the barysphere has been analytically found. A completely adequate estimate of the distance from the Earth’s center to the center of mass of the core has been given, which does not contradict modern geodetic concepts. It has been shown that the proposed model, which is not related to measuring the velocities of longitudinal and transverse seismic waves, makes it possible to determine quite satisfactorily all the basic geometric parameters of the barysphere.