An Integrated Global/Regional Gravity Field Determination Approach based on GOCE Observations

  • Annette Eicker
  • Torsten Mayer-Gürr
  • Karl Heinz Ilk


GOCE (Gravity Field and Steady-State Ocean Circulation Explorer) is a dedicated satellite gravity field mission to be launched in the year 2006. The payload of GOCE will consist of a GPS receiver for a precise orbit determination and for recovering the long and medium spectral part of the gravity field. The high resolution spectral part of the gravity field will be derived by in-orbit gravity gradients in three spatial directions measured by a gravity gradiometer consisting of six three-axis accelerometers. In this article an integrated gravity field recovery procedure is presented that allows to determine a global gravity field solution with high long and medium wavelength accuracy and to improve this global solution in regions with characteristic gravity field features by an adapted regional recovery procedure. If necessary, several regional solutions with global coverage can be merged by means of quadrature methods to obtain an improved global solution. Simulation results are presented to demonstrate this approach. Due to the improved regionally adapted gravity field solutions this technique provides better global gravity field recovery results than calculating a spherical harmonics solution by recovering the potential coefficients directly.

Key words

GOCE SGG GRACE SST regional gravity field zoom-in global gravity field recovery space localizing base functions 


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  1. Eicker A, Mayer-Gürr T, Ilk KH (2004) Global Gravity Field Solutions Based on a Simulation Scenario of GRACE SST Data and Regional Refinements by GOCE SGG Observations, Proceedings of the Intern. Conference Gravity, Geoid and Space Missions-GGSM2004, 2004 August 30–Sept. 3, Porto, PortugalGoogle Scholar
  2. European Space Agency (1999) Gravity Field and Steady-State Ocean Circulation Explorer Mission (GOCE), Report for mission selection, in The four canditate Earth explorer core missions, SP-1233 (1), Nordwijk, The NetherlandsGoogle Scholar
  3. Freeden W, Gervens T, Schreiner M (1998) Constructive Approximatiuon on the Sphere, Oxford University Press, OxfordGoogle Scholar
  4. Ilk KH, Feuchtinger M, Mayer-Gürr T, (2003) Gravity Field Recovery and Validation by Analysis of Short Arcs of a Satellite-to-Satellite Tracking Experiment as CHAMP and GRACE, Proceedings of the IAG Symposium G02, IUGG General Assembly 2003, Sapporo, JapanGoogle Scholar
  5. Koch KR, Kusche J (2003) Regularization of geopotential determination from satellite data by variance components, Journal of Geodesy 76(5):259–268CrossRefGoogle Scholar
  6. Lemoine FG, Kenyon SC, Factor JK, Trimmer RG, Pavlis NK, Chinn DS, Cox CM, Klosko SM, Luthcke SB, Torrence MH, Wang YM, Williamson RG, Pavlis EC, Rapp RH, Olson TR (1998) The development of the joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) geopotential model EGM96, NASA/TP-1998-206861, Goddard Space Flight Center, Grenbelt, MDGoogle Scholar
  7. Mayer-Gürr T, Ilk KH, Eicker A (2003) Regional Gravity Field Recovery From GOCE Gradiometer Measurements and SST-High-Low Observations-A Simulation Study, Proceedings of the „1st Workshop on International Gravity Field Research”, May 8–9, 2003, Graz, AustriaGoogle Scholar
  8. Mayer-Gürr T, Ilk KH, Eicker A, Feuchtinger M (2005a) ITG-CHAMP01: A CHAMP Gravity Field Model from Short Kinematical Arcs of a One-Year Observation Period, Journal of Geodesy (2005a) 78:462–480, DOI 10.1007/s00190-0004-0413-2, Springer-VerlagCrossRefGoogle Scholar
  9. Mayer-Gürr T, Eicker A, Ilk KH (2005b) Gravity field recovery from GRACE-SST data of short arcs, this volumeGoogle Scholar
  10. Reigber C, Schwintzer P, Lühr H (1999) The CHAMP geopotential mission, Boll. Geof. Teor. Appl., 40:285–289Google Scholar
  11. Sneeuw N (1994) Global Spherical Harmonic Analysis by Least Squares and Numerical Quadrature Methods in Historical Perspective, Geophys. J. Int., 118:707–716Google Scholar
  12. Stroud AH, Secrest D (1966) Gaussian Quadrature Formulas, Prentice-Hall, Englewood Cliffs, N.J.Google Scholar
  13. Tapley BD, Bettadpur S, Watkins M, Reigber Ch (2004) The gravity recovery and climate experiment: mission overview and early results. Geophys Res Lett 31, L09607: doi10.1029/2004GL019920CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Annette Eicker
    • 1
  • Torsten Mayer-Gürr
    • 1
  • Karl Heinz Ilk
    • 1
  1. 1.Institute of Theoretical GeodesyUniversity of BonnBonnGermany

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