Accession Number : AD0676302

Title :   ON THE USE OF THE TERRAIN CORRECTION IN SOLVING MOLODENSKY'S PROBLEM,

Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE

Personal Author(s) : Moritz,Helmut

Report Date : MAY 1968

Pagination or Media Count : 54

Abstract : An approximate solution of Molodensky's boundary-value problem, provided by adding the terrain correction to the free-air anomaly and using this modified anomaly in Stokes' and Vening Meinesz' formulas, admits of a physical interpretation in terms of Helmert's condensation reduction. The detailed investigation of this topic gives an insight into the interrelation between Molodensky's theory and the conventional method of gravity reduction and into the nature of the linear correlation of the free-air anomalies with elevation. By-products of the investigation are: (1) that the usual Bouguer reduction of gravity does not give Bouguer anomalies in the strict sense, and (2) that a certain approximation, which is usually applied in practical solutions of Molodensky's problem, may lead into difficulties with respect to the deflection of the vertical. (Author)

Descriptors :   (*GEODESICS, BOUNDARY VALUE PROBLEMS), TERRAIN, GRAVITY, ANOMALIES, MOUNTAINS, MATHEMATICAL MODELS

Subject Categories : Geodesy

Distribution Statement : APPROVED FOR PUBLIC RELEASE