A general theory of gravity processing
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Date
1969-05
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Publisher
Ohio State University. Division of Geodetic Science
Abstract
A unified least-squares method permits the estimation of the gravity anomaly field from discrete (terrestrial gravity measurements) or continuous (aerial gravity profiles) data affected by random errors of measurement. This method serves both for predicting the gravity anomaly at points where there are no measurements, and for filtering the data for these random errors. It comprises the usual prediction from errorless data as a special case. The general case of inaccurate data may be reduced to this special case by applying a preparatory least-squares filtering to the data. Details are worked out both for point and profile measurements. The case of n parallel gravity profiles is mathematically reduced to the case of gravity measurements at n points by applying a Fourier transform. Along-track, across-track and combined filtering of aerial gravity measurements and their use for estimating the gravity anomaly field are studied. A method for eliminating systematic errors is given.
Description
Prepared for Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, Bedford, Massachusetts: Contract No. F19628-69-C-0127, Project No. 7600, Task No. 760002, 04