Journal of Geodesy

, Volume 81, Issue 1, pp 17–38

Regional gravity modeling in terms of spherical base functions


    • Deutsches Geodätisches Forschungsinstitut (DGFI)
  • Martin Fengler
    • Geomathematics GroupTechnical University of Kaiserslautern
  • Torsten Mayer-Gürr
    • Institute of Theoretical GeodesyUniversity of Bonn
  • Annette Eicker
    • Institute of Theoretical GeodesyUniversity of Bonn
  • Jürgen Kusche
    • Delft Institute of Earth Observation and Space Systems (DEOS)Delft University of Technology
  • Laura Sánchez
    • Deutsches Geodätisches Forschungsinstitut (DGFI)
  • Shin-Chan Han
    • Geodetic Science, Department of Geological SciencesOhio State University
Original Article

DOI: 10.1007/s00190-006-0101-5

Cite this article as:
Schmidt, M., Fengler, M., Mayer-Gürr, T. et al. J Geod (2007) 81: 17. doi:10.1007/s00190-006-0101-5


This article provides a survey on modern methods of regional gravity field modeling on the sphere. Starting with the classical theory of spherical harmonics, we outline the transition towards space-localizing methods such as spherical splines and wavelets. Special emphasis is given to the relations among these methods, which all involve radial base functions. Moreover, we provide extensive applications of these methods and numerical results from real space-borne data of recent satellite gravity missions, namely the Challenging Minisatellite Payload (CHAMP) and the Gravity Recovery and Climate Experiment (GRACE). We also derive high-resolution gravity field models by effectively combining space-borne and surface measurements using a new weighted level-combination concept. In addition, we outline and apply a strategy for constructing spatio-temporal fields from regional data sets spanning different observation periods.


Regional gravity modelingSpherical radial base functionsMulti-resolution representationSpherical waveletsChallenging Minisatellite Payload (CHAMP) and Gravity Recovery and Climate Experiment (GRACE)
Download to read the full article text

Copyright information

© Springer-Verlag 2006