Abstract
Integral formulas are derived for the determination of geopotential coefficients from gravity anomalies and gravity disturbances over the surface of the Earth. First order topographic corrections to spherical formulas are presented. In addition new integral formulas are derived for the determination of the external gravity field from surface gravity.
Taking advantage of modern satellite positioning techniques, it is suggested that, in general, the external gravity field as well as individual coefficients are better determined from gravity disturbances than from gravity anomalies.
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Sjöberg, L.E. Integral formulas for geopotential coefficient determination from gravity anomalies versus gravity disturbances. Bull. Geodesique 63, 213–221 (1989). https://doi.org/10.1007/BF02519152
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DOI: https://doi.org/10.1007/BF02519152