Abstract
Neglecting distant zones in the computation of geoidal height using Stokes' formula gives rise to some truncation error. This truncation error is expressible as a weighted summation of the zonal harmonic components of the gravity anomaly. Making use of the well-known properties of Legendre polynomials, a compact method of computing these theoretical coefficients has been developed in this paper.
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References
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Y. HAGIWARA: Truncation Error Formulas for Geoidal Height and the Deflection of the Vertical. Bull. Geodesique, 106, 453, 1973.
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Paul, M.K. A method of evaluating the truncation error coefficients for geoidal height. Bull. Geodesique 110, 413–425 (1973). https://doi.org/10.1007/BF02521951
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DOI: https://doi.org/10.1007/BF02521951