Geopotential coefficient behavior to high degree and Geoid information by wavelength
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Date
1972-08
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Ohio State University. Division of Geodetic Science
Abstract
This report contains two separate papers, one of which uses information developed in the other paper. In the first paper an improved model for representing anomaly degree variance (and consequently potential coefficient) behavior was determined using anomaly degree variances obtained from satellite derived potential coefficients and anomaly variances in 10°, 5°, 2°, 1°, and 5' blocks as estimated from terrestrial gravity information. Of the six models tested one equation was considered best for describing the anomaly degree variance. This equation yields anomaly degree variances that: 1) fit the observed anomaly degree variances better than those implied by the Kaula rule, and 2) whose sum converges to the point anomaly variance of approximately 1200 mgal2, as opposed to a divergent summation of the anomaly degree variances implied by the Kaula rule. The second paper used two models describing potential coefficient behavior to estimate the root mean square geoid undulation by wavelength. Four wavelength types were defined: long wavelengths: ℓ,= 2 to 10; intermediate wavelengths: ℓ,= 11 to 100; short wavelengths: ℓ,= 101 to 1000; and very short wavelengths: ℓ, = 1001 to ∞ . By one representation of potential coefficient behavior the intermediate wavelength geoid information was ± 5.68m, the short wavelength, ± 0.66m, and the very short wavelength ± 0.05m. The procedures of this paper were applied to an actual residual undulation computation using detailed gravity material. [Some mathematical expressions are not fully represented in the metadata. Full text of abstract available in document.]
Description
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. 7600, Task No. 760001