Ellipsoidal Vertical Deflections: Regional, Continental, Global Maps of the Horizontal Derivative of the Incremental Gravity Potential

  • G. Finn
  • E. W. Grafarend
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 127)


A gravity potential field of ellipsoidal type is required for high resolution computation of the deflection of the vertical. With respect to the gravity potential model Spheroidal Earth Gravity Normal (SEGEN) a new theory is given for the prediction of long wave (global) portions of vertical deflections. The vertical deflections are developed into a series of ellipsoidal harmonics up to degree/ order 360/360, parameterised in Jacobi spheroidal coordinates, which result in an improvement of accuracy of two orders of magnitude compared with a spherical definition based on a spherical reference gravity potential field. Test computations are presented in regional, continental and global maps with respect to World Geodetic Datum 2000.


Ellipsoidal Vertical Deflections Ellipsoidal Harmonics Somigliana-Pizzetti Field SEGEN 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • G. Finn
    • 1
  • E. W. Grafarend
    • 1
  1. 1.Department of Geodesy and GeoinformaticsStuttgart UniversityStuttgartGermany

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