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 GEOS3 altimeter measurements in the calibration area of the GEOS3 satellite.
 Publication:

Unknown
 Pub Date:
 August 1978
 Bibcode:
 1978dgag.rept.....R
 Keywords:

 Gravity Anomalies;
 Numerical Analysis;
 Stokes Theorem (Vector Calculus);
 Fourier Transformation;
 Geos 3 Satellite;
 Least Squares Method;
 Geophysics