The Spheroidal Stokes Boundary Value Problem (extended abstract)

  • A. Ardalan
  • E. W. Grafarend
  • M. G. Sideris
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 122)


The target of the spheroidal Gauss-Listing geoid determination is presented as a solution of the spheroidal fixed-free two-boundary value problem based on a spheroidal Bruns transformation (spheroidal Bruns formula). The nonlinear spheroidal Bruns transform (nonlinear spheroidal Bruns formula), and the spheroidal fixed part and the spheroidal free part of the two-boundary value problem have been derived. Four different spheroidal gravity models are treated, in particular whether they pass the test to fit to the postulate of a level ellipsoidal gravity field, namely of Somigliana-Pizzetti type. The free part of the fixed-free two-boundary value problem in its linearized version agrees with the spheroidal Stokes boundary value problem.


Gravity Potential Normal Gravity Geoidal Undulation Physical Geodesy Geometry Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • A. Ardalan
    • 1
  • E. W. Grafarend
    • 1
  • M. G. Sideris
    • 2
  1. 1.Department of Geodesy and Geo InformaticStuttgart UniversityGermany
  2. 2.Department of Geomatics EngineeringUniversity of CalgaryAlbertaCanada

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