Bulletin Géodésique (1946-1975)

, Volume 90, Issue 1, pp 427–434 | Cite as

On the integral formulas of Stokes and Vening Meinesz

  • S. Roy Schubert


Recently much work has been done concerning the behavior of the truncation errors of the integral formulas of Stokes and Vening Meinesz. In our paper we examine the theoretical foundations of truncation error behavior.


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  1. [1]
    L. de WITTE: “Truncation Errors in the Stokes and Vening Meinesz Formulae for Different Order Spherical Harmonic Gravity Terms”,Geophy. J.R. Astro. Soc. (1967).Google Scholar
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    G. SANSONE:Orthogonal Functions, Interscience Publishers, New York, 1959.Google Scholar
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    R. COURANT:Differential and Integral Calculus Vol. I, Blackie and Son Ltd. London, 1963.Google Scholar
  4. [14]
    F.A. VENING-MEINESZ: A Formula Expressing the Deflection of the Plumb Line in the Gravity Anomalies and some Formulae for the Gravity Field and the Gravity-Potential Outside the Geoid, Koninklije Akademie, van Wetenschappen te Amsterdam, Proceedings Vol. XXXI No. 3 (1928).Google Scholar
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    A.H. COOK: “The Calculation of Deflections of the Vertical from Gravity Anomalies”, Proc. Roy. Soc. A, 204, pp. 374–375 (1950).CrossRefGoogle Scholar

Copyright information

© Bureau Central de L’Association Internationale de Géodésie 1968

Authors and Affiliations

  • S. Roy Schubert
    • 1
  1. 1.IBM CorporationLos Angeles

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