Determination of surface densities from a combination of gravimetry and satellite altimetry

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1972-12

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Ohio State University. Division of Geodetic Science

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Abstract

The utilization of satellite altimetry by itself, and in combination with existing gravity material is considered for the determination of the gravity field of the earth. This is done by developing equations that relate surface density values defined in discrete blocks to geoid undulations and gravity anomalies. The use of a higher order reference field defined by a set of spherical harmonics is considered and truncation errors are computed when the contribution of an area outside a spherical cap is obtained from a spherical harmonic expansion of the anomaly field. A suggested solution to recover 5° equal area blocks is made with specific recommendations made on the ordering of these blocks so that structured sets of normal equations will result. The determination of a more local field (such as 1°) is discussed using the global 5° field as a basis.

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Prepared for Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, Bedford, Massachusetts: Contract No. F19628-72-C-0120, Project No. 8607, Task No. 860701

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