модель PREM

The gradient construction approach analysis of the three-dimensional mass distribution function of the ellipsoidal planet

Purpose. To investigate the features of the algorithm implementation for finding the derivatives of the spatial distribution function of the planet's masses with the use of high-order Stokes constants and, on the basis of this, to find its analytical expression. According to the given methodology, to carry out calculations with the help of which to carry on the study of dynamic phenomena occurring inside an ellipsoidal planet.

The analysis of Impact of Earth's figure ellipticity on Its internal structure in imitation of PREM model

The methods of calculation of gravity potential V and potential energy E for ellipsoidal planet for existing one-dimensional mass distribution were not worked out. That’s why now the derivation of formulas for simultaneous calculation of density mass’s distribution and potential and energy for the ellipsoidal body is actual.