Gravity of the normal earth given in the form of a nonlevelled ellipsoid of rotation.
Abstract
A formula is obtained for the gravity of a standard earth represented as a uniform nonlevel ellipsoid of revolution with a geocentric constant equal to that of the real earth. Expressions are derived for the gravity at the equator and the poles. A formula is given which expresses the exact distribution of gravity at the surface of a standard earth given in the form of a nonlevel ellipsoid of revolution. Numerical results are compared for level and nonlevel ellipsoids with equal geocentric constants. These results show that the gravity field of a standard earth represented as a nonlevel ellipsoid of revolution is clearly asymmetric relative to that calculated for an ellipsoid of revolution with a level surface.
 Publication:

Akademiia Nauk Gruzii Soobshcheniia
 Pub Date:
 October 1977
 Bibcode:
 1977SoGru..88...65K
 Keywords:

 Bodies Of Revolution;
 Earth (Planet);
 Earth Gravitation;
 Ellipsoids;
 Gravimetry;
 Gravitational Fields;
 Geopotential;
 Gravity Anomalies;
 Numerical Analysis;
 Geophysics;
 Earth:Gravitation