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    The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights

    21006_21006.pdf (275.7Kb)
    Access Status
    Open access
    Authors
    Santos, M.
    Vanek, P.
    Featherstone, Will
    Kingdon, R.
    Ellmann, A.
    Martin, B.-A.
    Kuhn, Michael
    Tenzer, R.
    Date
    2006
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Santos, M. C. and Vanek, P. and Featherstone, W. E. and Kingdon, R. and Ellmann, A. and Martin, B.-A. and Kuhn, M. and Tenzer, R. 2006. The Relation Between Rigorous and Helmert's Definitions of Orthometric Heights. Journal of Geodesy. 80 (12): 691-704.
    Source Title
    Journal of Geodesy
    DOI
    10.1007/s00190-006-0086-0
    Faculty
    Division of Resources and Environment
    Department of Spatial Sciences
    Remarks

    The final publication is available at Springer via http://link.springer.com/

    URI
    http://hdl.handle.net/20.500.11937/7510
    Collection
    • Curtin Research Publications
    Abstract

    Following our earlier definition of the rigorous orthometric height [J Geod 79(1-3):82?92 (2005)] we present the derivation and calculation of the differences between this and the Helmert orthometric height, which is embedded in the vertical datums used in numerous countries. By way of comparison, we also consider Mader and Niethammer?s refinements to the Helmert orthometric height. For a profile across the Canadian Rocky Mountains (maximum height of ~2,800 m), the rigorous correction toHelmert?s height reaches~13 cm, whereas the Mader and Niethammer corrections only reach ~3 cm. The discrepancy is due mostly to the rigorous correction?s consideration of the geoid-generated gravity disturbance. We also point out that several of the terms derived here are the same as those used in regional gravimetric geoidmodels, thus simplifying their implementation. This will enable those who currently use Helmert orthometric heights to upgrade them to a more rigorous height system based on the Earth?s gravity field and one that is more compatible with a regional geoid model.

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