Analytic continuation of gravity using orthogonal functions

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1966-01

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Ohio State University. Division of Geodetic Science

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Abstract

The expediency of orthogonal series development in downward continuation of equidistant airborne gravity profiles is studied. Two computer programs were generated for downward (and upward) continuation of gravity anomaly fields using two different two dimensional trigonometrical series developments. They are modifiable up to any degree N, M of series development. The programs were applied to fitting two free air anomaly fields in Ohio and in Germany, where n, m was ≤ 4. Upward continuation of these fields is considered for elevations 1 km ≤ h ≤ 20 km. Optimal use and spacing of the profiles for downward continuation is discussed.

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Prepared for Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, Bedford, Massachusetts: Contract No. AF19(628)-5701, Project 7600, Task No. 760002, 04

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