To the question of an qnalytical estimate 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 is obtained and the linear size of the barispheric is analytically found. A completely adequate estimate of the distance from the center of the Earth to the center of mass of the core is given which does not contradict modern geodetic ideas. It is shown that the proposed model, which is not related to the measurement of the velocities of longitudinal and transverse seismic waves, makes it possible to determine quite satisfactorily all the basic geometric parameters of the barisphere. In addition, the main advantage of this approach is also associated with the possibility of analytically solving the resulting equations, which gives us a completely justified and objective model that allows us to predict a number of geometric parameters relating to the internal structure of the Earth and making it possible to evaluate them numerically. The described approach can be applied to solving individual geophysical problems, one of which can be considered, for example, the molten outer core in the form of a non-Newtonian fluid, the dynamic viscosity of which increases with increasing distance from the center of the Earth.