spherical function

Researching the influence of the mass distribution inhomogeneity of the ellipsoidal planet’s interior on its stokes constants

Purpose. Parameters of Earth’s gravitational field ( ) are determinated by its figure and internal filling (mass distribution) that have a different influence on their formation. Using a well-known representation of the planet masses distribution functions in the biorthogonal series form it is necessary to establish the Stokes constants  presentation through the planet potential expansion coefficients  and liner combinations of ellipsoid geometric parameters.