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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. de WITTE: Truncation Errors in the Stokes, and Vening Meinesz Formulae for Different Order Spherical Harmonic Gravity Terms. Geop. Jour. Roy. Astr. Soc. 12, 449, 1967.
W.A. HEISKANEN and H. MORITZ: Physical Geodesy, Freeman, 1967.
M.S. MOLODENSKII, V.F. EREMEEV and M.I. URKINA: Methods for Study of the External Gravitational Field and Figure of the Earth. Translated From the Russian by the Israel Prog. for Sc. Transl. Jerusalem, 1962.
Y. HAGIWARA: Truncation Error Formulas for Geoidal Height and the Deflection of the Vertical. Bull. Geodesique, 106, 453, 1973.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02521951