Journal of Geodesy

, Volume 81, Issue 1, pp 17–38

Regional gravity modeling in terms of spherical base functions

  • Michael Schmidt
  • Martin Fengler
  • Torsten Mayer-Gürr
  • Annette Eicker
  • Jürgen Kusche
  • Laura Sánchez
  • Shin-Chan Han
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

Abstract

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.

Keywords

Regional gravity modelingSpherical radial base functionsMulti-resolution representationSpherical waveletsChallenging Minisatellite Payload (CHAMP) and Gravity Recovery and Climate Experiment (GRACE)

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Michael Schmidt
    • 1
  • Martin Fengler
    • 2
  • Torsten Mayer-Gürr
    • 3
  • Annette Eicker
    • 3
  • Jürgen Kusche
    • 4
  • Laura Sánchez
    • 1
  • Shin-Chan Han
    • 5
  1. 1.Deutsches Geodätisches Forschungsinstitut (DGFI)MunichGermany
  2. 2.Geomathematics GroupTechnical University of KaiserslauternKaiserslauternGermany
  3. 3.Institute of Theoretical GeodesyUniversity of BonnBonnGermany
  4. 4.Delft Institute of Earth Observation and Space Systems (DEOS)Delft University of TechnologyDelftThe Netherlands
  5. 5.Geodetic Science, Department of Geological SciencesOhio State UniversityColumbusUSA