Concerning the equations of gravity force

Details Concerning the equations of gravity force Concerning the equations of gravity force

May 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981sogru.102..345l&link_type=abstract

Akademiia Nauk Gruzinskoi SSR, Soobshcheniia, vol. 102, May 1981, p. 345-348. In Russian.

Physics

Coordinate Transformations, Ellipsoids, Gravitation Theory, Laplace Equation, Bodies Of Revolution, Gravity Anomalies, Planetary Gravitation

Scientific paper

The general equation based on changes in the direction of the gravitational force is linearized, yielding equations for the modulus of gravity under the following assumptions: (1) gravity is directed normal to the ellipsoid of revolution drawn across a given point and confocal to the prescribed ellipsoid of revolution; and (2) gravity is directed along normal gravity corresponding to the attraction of a prescribed homogeneous ellipsoid of revolution. It is noted that these equations may be used to derive reductions and transformations of gravitational force which are stricter than those that have been made earlier; for the problems connected with calculations of local anomalies in the gravitational force, they cannot, however, take into account a significant change in the direction of gravitational force in relatively small areas.

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