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    Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid

    Access Status
    Fulltext not available
    Authors
    Claessens, Sten
    Featherstone, Will
    Date
    2005
    Type
    Conference Paper
    
    Metadata
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    Citation
    Claessens, Sten and Featherstone, Will. 2005. Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid, in Fernando Sanso (ed), IAG General Assembly, Jun 30 2003, pp. 459-464. Sapporo, Japan: Springer.
    Source Title
    A Window on the Future of Geodesy: Proceedings of the International Association of Geodesy
    Source Conference
    IAG General Assembly
    ISBN
    3-540-24055-1
    Faculty
    Department of Spatial Sciences
    Faculty of Science and Engineering
    WA School of Mines
    Remarks

    The original publication is available at : http://www.springerlink.com

    URI
    http://hdl.handle.net/20.500.11937/26541
    Collection
    • Curtin Research Publications
    Abstract

    One of the most important stages in the computation of a global geopotential model is the computation of the spherical harmonic coefficients from gravity anomalies on the normal ellipsoid. None of the existing methods provides an exact solution, and all show severe shortcomings in the high degrees of the spectrum. In this paper, a new, theoretically exact method is proposed, which is moreover easily applicable up to very high degree and order (2160 and beyond). The solution of the geopotential coefficients is presented as a weighted sum over 'spherically approximated' coefficients of equal order, where the gravity anomalies are presumed to reside on a sphere.The weights depend solely upon the degree and order of the coefficient and the definition of the normal ellipsoid and its gravity field. Numerical comparisons with existing methods show substantial differences, especially in the high degrees, which can be explained by the fact that all previous methods are of limited accuracy.

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