The determination of gravity anomalies from geoid heights using the inverse Stokes' formula, Fourier transforms, and least squares collocation
Abstract
A numerical method for the determination of gravity anomalies from geoid heights is described using the inverse Stokes formula. This discrete form of the inverse Stokes formula applies a numerical integration over the azimuth and an integration over a cubic interpolatory spline function which approximates the step function obtained from the numerical integration. The main disadvantage of the procedure is the lack of a reliable error measure. The method was applied on geoid heights derived from GEOS-3 altimeter measurements in the calibration area of the GEOS-3 satellite.
- Publication:
-
Unknown
- Pub Date:
- August 1978
- Bibcode:
- 1978dgag.rept.....R
- Keywords:
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- Gravity Anomalies;
- Numerical Analysis;
- Stokes Theorem (Vector Calculus);
- Fourier Transformation;
- Geos 3 Satellite;
- Least Squares Method;
- Geophysics