Summary
To meet the accuracy requirements of the GOCE mission, the gradiometer has to be calibrated and validated internally as well as externally. An internal quality assessment of the observed GOCE data is possible by comparisons of observations at the same satellite position, i.e. at satellite track cross-overs. Due to the orbit characteristics of the mission, satellite ground track cross-overs have to be used instead of identical repeat positions. Therefore, an appropriate reduction concept has to be applied to consider the differences caused by different satellite altitudes and orientations. It is shown here, that present global gravity field models meet the accuracy and resolution requirements for the reduction concept, and hence for the relative validation of GOCE gradients.
For an external calibration or validation based on regional data sets, terrestrial gravity anomalies are upward continued to gravitational gradients at GOCE altitude. The computations are done with synthetic data in a closed-loop simulation. Two upward continuation methods are considered, namely least-squares collocation and integral formulas based on the spectral combination technique. Both methods are described and the results are compared numerically with the ground-truth data. Finally, the results of a regional calibration experiment with simulated noisy GOCE gradients are described.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Albertella A, Migliaccio F, Sansò F (2000) The space-wise approach-Overall scientific data strategy. In: Sünkel H (ed.), ESA From Eötvös to Milligal Final Report. ESA/ESTEC Contract No. 13392/98/NL/GD, pp. 267–298, Graz
Arabelos D and Tscherning CC (1998) Calibration of Satellite Gradiometer Data Aided by Ground Gravity Data. J. Geod. 72:617–625
Bouman J and Koop R (2003) Calibration of GOCE SGG Data Combining Terrestrial Gravity Data and Global Gravity Field Models. In: Tziavos IN (ed.), Gravity and Geoid 2002, Proc. 3rd Meeting of the International Gravity and Geoid Commission, pp. 275–280, Zeta Publ., Thessaloniki.
Bouman J, Koop R, Tscherning CC and Visser P (2004) Calibration of GOCE SGG Data using High-low SST, Terrestrial Gravity Data and Global Gravity Field Models. J. Geod. 78:124–137
Brenner P, Mehrmann V, Sima V, Van Huffel S and Varga A (1999) SLICOT — A Subroutine Library in Systems and Control Theory. NICONET Technical Report 97-3
Denker H (2003) Computation of Gravity Gradients Over Europe For Calibration/-Validation of GOCE Data. In: Tziavos IN (ed.), Gravity and Geoid 2002, Proc. 3rd Meeting of the International Gravity and Geoid Commission, pp. 287–292, Zeta Publ., Thessaloniki
ESA (1999) Gravity Field and Steady-State Oean Circulation Mission, Reports for mission selection, The Four Candidate Earth Explorer Core Missions, SP-1233(1), ESA Publications Division, Noordwijk
Haagmans R, de Min E and van Gelderen M (1993) Fast Evaluation of Convolution Integrals on the Sphere Using 1D FFT, and a Comparison with Existing Methods for Stokes’ Integral. Man. Geod. 18:227–241
IAG-SC7 (2003) Satellite Gravity Field Missions: Simulation Scenarios, IAG-Special Commission VII (Section II), Satellite Gravity Field Missions, http://www.geod.uni-bonn.de/SC7/index.html, 13.10.2003
Jarecki F and Müller J (2003) Validation of GOCE Gradients Using Cross-Overs, In: GEOTECHNOLOGIEN; Observation of the System Earth from Space, GEOTECHNOLOGIEN Science Report No. 3, pp. 79–84, Potsdam
JPL (2003) GRACE Homepage, Jet Propulsion Laboratory, http://podaac.jpl.nasa.gov/grace/, 15.12.2003
Kern M and Haagmans R (2005) Determination of Gravity Gradients from the Terrestrial Gravity Data for Calibration and Validation of Gradiometric GOCE Data. In: Jekeli C, Bastos L and Fernandes J (eds.), Proc. IAG International Symposium Gravity, Geoid and Space Missions, Porto, Aug. 30–Sept. 3, 2004, International Association of Geodesy Symposia, vol. 129. Springer, Berlin Heidelberg New York (in print)
Koop R, Visser P and Tscherning CC (2001) Aspects of GOCE Calibration. In: Drinkwater MR (ed.), Proc. International GOCE User Workshop. European and national user group activities (Noordwijk), pp. 51–56. ESA/ESTEC, Noordwijk
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, and Olson TR (1998) The Development of the Joint NASA GSFC and NIMA Geopotential Model EGM96. Technical Paper NASA/TP-1998-206861, NASA, Greenbelt, Maryland
Min E de (1995) A Comparison of Stokes’ Numerical Integration and Collocation, and a New Combination Technique. Bull. Géod. 69:223–232
Moritz H (1971) Kinematical Geodesy II. Reports of the Department of Geodetic Science No 165, Department of Geodetic Science, Ohio State University, Columbus, Ohio
Moritz H (1976) Integral Formulas and Collocation. Man. Geod. 1:1–40
Moritz H (1980) Advanced Physical Geodesy. Herbert Wichmann Verlag, Karlsruhe
Müller J (2001) Die Satellitengradiometriemission GOCE, Theorie, technische Realisierung und wissenschaftliche Nutzung, Veröffentlichungen der Deutschen Geodätischen Kommission, Reihe C, Nr. 541, München
Pail R (2002) In-orbit Calibration and Local Gravity Field Continuation Problem, In: Sünkel H (ed.), ESA From Eötvös to Milligal+ Final Report, ESA/ESTEC Contract No. 14287/00/NL/GD, pp. 9–112, Graz
Schrama EJO (2001) External geophysical validation and calibration of an orbiting gravity gradiometer. In: Drinkwater MR (ed.), Proc. International GOCE User Workshop. European and national user group activities (Noordwijk), pp. 57–62. ESA/ESTEC, Noordwijk
Shum CK, Zhang BH, Schutz BE, Tapley BD (1990) Altimeter Crossover Methods for Precision Orbit Determination and the Mapping of Geophysical Parameters, J. Astronaut. Sc. 38:355–368
Smit M, Koop R, Visser P, vd IJssel J, Sneeuw N, Müller J, Oberndorfer H (2000) SID 2000: GOCE End to End Performance Analysis, ESA/ESTEC Contract No. 12735/98/NL/GD, Noordwijk
Tscherning CC (1974) A FORTRAN IV Program for the Determination of the Anomalous Potential Using Stepwise Least-squares Collocation. Reports of the Department of Geodetic Science No 212, Department of Geodetic Science, Ohio State University, Columbus, Ohio
Tscherning CC (1976) Computation of the Second-Order Derivatives of the Normal Potential Based on the Representation by a Legendre Series. Man. Geod. 1:71–92
Tscherning CC and Rapp RH (1974) Closed Covariance Expressions for Gravity Anomalies, Geoid Undulations, and Deflections of the Vertical Implied by Anomaly Degree Variance Models. Reports of the Department of Geodetic Science No 208, Department of Geodetic Science, Ohio State University, Columbus, Ohio
Weber G and Wenzel H-G (1983) Error Covariance Functions of Sea Gravity Data and Implications for Geoid Determination. Marine Geodesy 75(1–4):199–226
Wenzel H-G (1981) Zur Schätzung von Anomalie-Gradvarianzen aus lokalen Kovarianzfunktionen. ZfV 106(5):234–243
Wenzel H-G (1982) Geoid Computation by Least-Squares Spectral Combination Using Integral Kernels. In: Proc. General Meeting of the IAG, pp. 438–453, Tokyo. Springer, Berlin Heidelberg New York
Wenzel H-G (1985) Hochauflösende Kugelfunktionsmodelle für das Gravitationspotential der Erde, Wissenschaftliche Arbeiten der Fachrichtung Vermessungswesen der Universität Hannover, Nr. 137, Hannover
Wenzel H-G (1999) Schwerefeldmodellierung durch ultra hochauflösende Kugelfunktionsmodelle. ZfV 124(5):144–154
Wolf KI (2005) Considering Coloured Noise of Ground Data in an Error Study for External GOCE Calibration / Validation. In: Proc. GOCINA Workshop, April, 13–15, 2005, Cahiers du Centre Europeen de Geodynamics et de Seismologie. Luxembourg. (submitted)
Wolf KI and Denker H (2005) Upward Continuation of Ground Data for GOCE Calibration / Validation Purposes. In: Jekeli C, Bastos L and Fernandes J (eds.), Proc. IAG International Symposium Gravity, Geoid and Space Missions, Porto, Aug. 30 — Sept. 3, 2004, International Association of Geodesy Symposia, vol. 129. Springer, Berlin Heidelberg New York (in print)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Jarecki, F., Wolf, K.I., Denker, H., Müller, J. (2006). Quality Assessment of GOCE Gradients. In: Flury, J., Rummel, R., Reigber, C., Rothacher, M., Boedecker, G., Schreiber, U. (eds) Observation of the Earth System from Space. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-29522-4_19
Download citation
DOI: https://doi.org/10.1007/3-540-29522-4_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29520-4
Online ISBN: 978-3-540-29522-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)