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    Ellipsoidal area mean gravity anomalies - precise computation of gravity anomaly reference fields for remove-compute-restore geoid determination

    157159_34748_Hirt2011_SGG_ellipsoidal_area_means_authorversion.pdf (1.641Mb)
    Access Status
    Open access
    Authors
    Hirt, Christian
    Claessens, Sten
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Hirt, Christian and Claessens, Sten. 2011. Ellipsoidal area mean gravity anomalies - precise computation of gravity anomaly reference fields for remove-compute-restore geoid determination. Studia Geophysica and Geodaetica 55 (4): pp. 589-607.
    Source Title
    Studia Geophysica and Geodaetica
    DOI
    10.1007/s11200-010-0070-2
    ISSN
    00393169
    School
    Department of Spatial Sciences
    Remarks

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

    URI
    http://hdl.handle.net/20.500.11937/9541
    Collection
    • Curtin Research Publications
    Abstract

    Gravity anomaly reference fields, required e.g. in remove-compute-restore (RCR) geoid computation, are obtained from global geopotential models (GGM) through harmonic synthesis. Usually, the gravity anomalies are computed as point values or area mean values in spherical approximation, or point values in ellipsoidal approximation. The present study proposes a method for computation of area mean gravity anomalies in ellipsoidal approximation ('ellipsoidal area means') by applying a simple ellipsoidal correction to area means in spherical approximation. Ellipsoidal area means offer better consistency with GGM quasi/geoid heights. The method is numerically validated with ellipsoidal area mean gravity derived from very fine grids of gravity point values in ellipsoidal approximation. Signal strengths of (i) the ellipsoidal effect (i.e., difference ellipsoidal vs. spherical approximation), (ii) the area mean effect (i.e., difference area mean vs. point gravity) and (iii) the ellipsoidal area mean effect (i.e., differences between ellipsoidal area means and point gravity in spherical approximation) are investigated in test areas in New Zealand and the Himalaya mountains. The impact of both the area mean and the ellipsoidal effect on quasigeoid heights is in the order of several centimetres. The proposed new gravity data type not only allows more accurate RCR-based geoid computation, but may also be of some value for the GGM validation using terrestrial gravity anomalies that are available as area mean values.

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