Accession Number : AD0772709

Title :   Investigations on the Downward Continuation of Aerial Gravity Data,

Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE

Personal Author(s) : Schwarz,Klaus-Peter

Report Date : SEP 1973

Pagination or Media Count : 86

Abstract : The subject of the report is downward continuation of gravity from flying altitudes to a reference surface. This is done by a numerical inversion of the upward continuation integral, which leads to the inversion of an ill-conditioned matrix. The first part considers computational and numerical problems such as the discretization of the upward continuation integral, the improvement of convergence of the iterative inversion by using the knowledge of the spectrum to obtain convergence factors, and the improvement of the conditioning of the matrix. In the second part, downward continuation of gravity is discussed theoretically as an improperly posed problem using Tykhonov's regularization, and various solutions proposed in the literature are compared. (Author)

Descriptors :   *Gravity, Gravimetry, Airborne, Geodesy, Numerical analysis

Subject Categories : Geodesy

Distribution Statement : APPROVED FOR PUBLIC RELEASE