Smoothing the Gradiometric Observations Using Different Topographic–Isostatic Models: A Regional Case Study

  • J. Janák
  • F. Wild-Pfeiffer
  • B. Heck
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 137)


In terrestrial and airborne gravity field determination the formulae for the gravitational potential and its first order derivatives have been used, while the second order derivatives are related to the analysis of upcoming satellite gravity gradiometry missions of GOCE type. Especially there, the reduction of topographic and isostatic effects is important to produce a smooth gravity field suitable for downward continuation. In this paper various isostatic models, namely the models of Airy–Heiskanen (A–H) and Pratt–Hayford (P–H), the combination of the Airy–Heiskanen model (land area) and the Pratt–Hayford model (ocean area), the first (H1) condensation model of Helmert as well as a crust density model are analyzed for a GOCE-like satellite orbit in two selected regions: Japan and central part of Europe. The different topographic–isostatic effects are compared with respect to the degree of smoothing of the measured satellite gradiometric data. The results of this paper can serve as a base for further investigations of the suitability of particular reduction models for downward continuation.


Satellite gravity gradiometry isostatic models (Airy–Heiskanen Pratt–Hayford) first condensation model of Helmert crust density model. 



The research presented in this paper has been partially supported by the Slovak national projects VEGA 1/0775/08 and APVV 0351–07.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Theoretical GeodesySlovak University of TechnologyBratislavaSlovakia
  2. 2.Institute of NavigationUniversity of StuttgartStuttgartGermany
  3. 3.Geodetic Institute, Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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