Least-squares estimation in physical geodesy

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1970-03

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Ohio State University. Division of Geodetic Science

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Abstract

A powerful and simple least-squares estimation method for the gravitational field, due to T.Krarup, is presented and applied to such different problems in physical geodesy as the geodetic boundary-value problem according to A. Bjerhammar, the application of aerial gravimetry, the geodetic use of gradiometer measurements, and the combination of gravimetry with satellite harmonics and with astrogeodetic data. The algorithm is formally identical to that of usual least-squares gravity estimation; it is only necessary to interpret the covariances in a different way. The data may be errorless or affected by observational errors.

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Prepared for Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, Bedford, Massachusetts: Contract No. F19628-69-C0127, Project No. 7600, Task No. 760002, 04

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