The use of Stokes's constants of the earth for constructing global mechanical models of the earth
Abstract
Methods of using Stokes's constants of the earth for constructing its worldwide mechanical models are described. The variance of an approximate distribution of the density of the earth's interior is obtained on the basis of the parameters of the earth's gravitational field, its dynamical flattening, the depths of two discontinuous jumps of the density (at the boundary of the core and at the Mohorovicic surface) and the mean values of the crust's density and the density of the upper mantle. The values of the rigidity, incompressibility, gravity and hydrostatic pressure inside the planet are then found. The periods of free oscillations of the described model are calculated. The results obtained are discussed. Certain possibilities of determining the accuracy of the planet's models  constructed by the described method  are indicated.
 Publication:

Studia Geophysica et Geodaetica
 Pub Date:
 1975
 DOI:
 10.1007/BF01614251
 Bibcode:
 1975StGG...19..217M
 Keywords:

 Density Distribution;
 Earth Planetary Structure;
 Mathematical Models;
 Earth Crust;
 Earth Mantle;
 Free Vibration;
 Hydrostatic Pressure;
 Mechanical Properties;
 Sine Waves;
 Tables (Data);
 Geophysics