The derivation of gravity anomalies at the surface of the earth from satellite to scatellite tracking or satellite gradiometry observations is a downward continuation problem.nFor a local improvement of our knowledge about the gravity field integral formulas in the parameter domain have to be applied instead of a representation by spherical harmonics. The neglected regions will cause a truncation error. The application of the discrete form of the integral equations connecting the satellite observations with surface gravity anomalies is discussed in comparison with the least squares prediction method.
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