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Error Characteristics of Dynamic Topography Models Derived from Altimetry and GOCE Gravimetry

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Dynamic Planet

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 130))

Abstract

The impact of the GOCE satellite mission on the recovery of the gravity field is analysed for two simulated cases. In the first case the GOCE Level 2 product is used where the gravity field is approximated by spherical harmonic coefficients up to degree and order 200. In the second case synthetic GOCE Level 1B data are used directly in a gravity field determination using least squares collocation. In case two the full spectrum geoid error was improved from 31 cm to 15 cm and the resolution was doubled.

To get reliable errors associated with the mean dynamic topography (MDT) a reliable model for the spectral characteristics of the MDT is needed. Such a model was derived reflecting empirically derived properties such as MDT variance and correlation length. Combining the MDT characteristics with the estimated geoid errors in the spectral domain resulted in a-posteori error estimates. In the two cases the MDT errors were improved from 20 cm to 6 cm and 5 cm respectively. For the geostrophic surface current components the errors were improved from 23 cm/s to 18 cm/s and 16 cm/s.

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References

  • Heiskanen, W. A., and Moritz, H.: Physical Geodesy, W. H. Freeman, San Francisco, 1967.

    Google Scholar 

  • Knudsen, P.: Estimation and Modelling of the Local Empirical Covariance Function using gravity and satellite altimeter data. Bulletin Géodésique, Vol. 61, 145–160, 1987.

    Article  Google Scholar 

  • Knudsen, P.: Simultaneous Estimation of the Gravity Field and Sea Surface Topography From Satellite Altimeter Data by Least Squares Collocation. Geophysical Journal International, Vol. 104, No. 2, 307–317, 1991.

    Article  Google Scholar 

  • Knudsen, P.: Estimation of Sea Surface Topography in the Norwegian Sea Using Gravimetry and Geosat Altimetry. Bulletin Géodésique, Vol. 66, No. 1, 27–40, 1992.

    Article  Google Scholar 

  • Knudsen, P.: Integration of Altimetry and Gravimetry by Optimal Estimation Techniques. In: R. Rummel and F. Sansó (Eds.): Satellite Altimetry in Geodesy and Oceanography, Lecture Notes in Earth Sciences, 50, Springer-Verlag, 453–466, 1993.

    Google Scholar 

  • Knudsen P., R. Forsberg, O. Andersen, D. Solheim, R. Hipkin, K. Haines, J. Johannessen & F. Hernandez. The GOCINA Project-An Overview and Status. Proc. Second International GOCE User Workshop “GOCE, The Geoid and Oceanography”, ESA-ESRIN, March 2004, ESA SP-569, June 2004.

    Google Scholar 

  • Moritz, H.: Advanced Physical Geodesy. Herbert Wichmann Verlag, Karlsruhe, 1980.

    Google Scholar 

  • Sansò, F.: Statistical Methods in Physical Geodesy. In: Sünkel, H.: Mathematical and Numerical Techniques in Physical Geodesy. Lecture Notes in Earth Sciences, Vol. 7, 49–155, Springer-Verlag, 1986.

    Google Scholar 

  • Tscherning, C.C.: Functional Methods for Gravity Field Approximation. In: Sünkel, H.: Mathematical and Numerical Techniques in Physical Geodesy. Lecture Notes in Earth Sciences, Vol. 7, 3–47, Springer-Verlag, 1986.

    Google Scholar 

  • Tscherning, C.C.: Computation of covariances of derivatives of the anomalous gravity potential in a rotated reference frame. Manuscripta Geodaetica, Vol. 18, no. 3, pp. 115–123, 1993.

    Google Scholar 

  • Tscherning, C.C.: Simulation results from combination of GOCE SGG and SST data. 2. Int. GOCE user Workshop, ESRIN, ESA SP-569, March, 2004.

    Google Scholar 

  • Tscherning, C.C., and R.H. Rapp: Closed Covariance Expressions for Gravity Anomalies, Geoid Undulations, and Deflections of the Vertical Implied by Anomaly Degree Variances. Report no. 208, Dept. of Geodetic Science and Surveying, The Ohio State University, Columbus, 1974.

    Google Scholar 

  • Wunsch, C., and V. Zlotnicki: The accuracy of altimetric surfaces. Geophys. J. R. astr. Soc., 78, 795–808, 1984.

    Google Scholar 

  • Zlotnicki, V.: On the Accuracy of Gravimetric Geoids and the Recovery of Oceanographic Signals from Altimetry. Marine Geodesy, Vol. 8, 129–157, 1984.

    Article  Google Scholar 

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Knudsen, P., Tscherning, C.C. (2007). Error Characteristics of Dynamic Topography Models Derived from Altimetry and GOCE Gravimetry. In: Tregoning, P., Rizos, C. (eds) Dynamic Planet. International Association of Geodesy Symposia, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49350-1_2

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