Gravity of the normal earth given in the form of a non-levelled 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