Abstract
A recurrence relation has been derived to obtain the derivatives required for the Taylor expansion of the theoretical gravity formula in powers of latitude. The computations using the relationship derived can provide easily all required derivatives for any reference ellipsoid.
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References
Geodetic Reference System 1967, International Association of Geodesy, Publication Spéciale No. 3, Paris.
D. NAGY, 1978: Direct Gravity Formula for the Geodetic Reference System 1967, Bulletin Geodesique,52, 2, pp. 159–164.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02522277.
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Nagy, U. Taylor expansion of the theoretical gravity formula. Bull. Geodesique 53, 179–184 (1979). https://doi.org/10.1007/BF02521088
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DOI: https://doi.org/10.1007/BF02521088