An Error Model for the GOCE Space-Wise Solution by Monte Carlo Methods

International Association of Geodesy Symposia

Volumn 133, Issue , 2009, Pages 337-344

  Migliaccio, F ^a   Reguzzoni, M ^a   Sanso F ^a   Tselfes, N ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

GOCE mission; Monte Carlo methods; Satellite gradiometry; Space wise approach

Indexed keywords

CORRESPONDING SOLUTIONS; ERROR COVARIANCE MATRIX; GOCE MISSION; GRAVITATIONAL POTENTIAL; SATELLITE GRADIOMETRY; SPACE-WISE APPROACH; SPHERICAL HARMONIC COEFFICIENT; STOCHASTIC SIMULATIONS;

COVARIANCE MATRIX; STOCHASTIC MODELS;

MONTE CARLO METHODS;

EID: 84884379011     PISSN: 09399585     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-85426-5_40     Document Type: Conference Paper

References (18)

1. Alkhatib, H., and W.D. Schuh (2007). Integration of the Monte Carlo covariance estimation strategy into tailored solution procedures for large-scale least squares problems, Journal of Geodesy, 81, pp. 53-66.
2. ESA (1999). Gravity Field and Steady-State Ocean Circulation Mission. ESA SP-1233 (1). ESA Publication Division, c/o ESTEC, Noordwijk, The Netherlands.
3. Förste, Ch., F. Flechtner, R. Schmidt, R. König, U. Meyer, R. Stubenvoll, M. Rothacher, F. Barthelmes, H. Neumayer, R. Biancale, S. Bruinsma, J.M. Lemoine and S. Loyer (2007). Global mean gravity field models from combination of satellite mission and altimetry/gravimetry surface data. In: Proc. of the 3rd International GOCE User Workshop, 6-8 November 2006, Frascati, Rome, Italy, pp. 163-167. ISBN 92-9092-938-3, ISSN 1609-042X.
4. Gamerman, D. (1997). Markov Chain Monte Carlo-Stochastic Simulation for Bayesian Inference. Chapman & Hall, London.
5. Heiskanen, W.A., and H. Moritz (1967). Physical Geodesy. W.H. Freeman and Company, San Francisco.
6. Jekeli, C. (1999). The determination of gravitational potential differences from satellite-to-satellite tracking Celestial Mechanics and Dynamical Astronomy, 75, pp. 85-101.
7. Lemoine, F.G., S.C. Kenyon, J.K. Factor, R.G. Trimmer, N.K. Pavlis, D.S. Chinn, C.M. Cox, S.M. Klosko, S.B. Luthcke, M.H. Torrence, Y.M. Wang, R.G. Williamson, E.C. Pavlis, R.H. Rapp and T.R. Olson (1998). The development of the joint NASA GSFC and NIMA geopotential model EGM96. NASA/TP-1998-206861, Goddard Space Flight Center, Greenbelt, Maryland.
8. Migliaccio, F., and F. Sansò (1989). Data processing for the Aristoteles mission. In: Proc. of the Italian Workshop on the European Solid-Earth Mission Aristoteles. Trevi, Italy, May 30-31 1989, pp. 91-123.
9. Migliaccio, F., M. Reguzzoni and F. Sansò (2004). Space-wise approach to satellite gravity field determination in the presence of coloured noise. Journal of Geodesy, 78, pp. 304-313.
10. Migliaccio, F., M. Reguzzoni and N. Tselfes (2006). GOCE a full-gradient simulated solution in the space-wise approach. In: International Association of Geodesy Symposia, 'Dynamic Planet-Monitoring and Understanding a Dynamic Planet with Geodetic and Oceanographic Tools', P. Tregoning and C. Rizos (eds), Vol. 130, Springer-Verlag, Berline, pp. 383-390.
11. Migliaccio, F., M. Reguzzoni, F. Sansò and N. Tselfes (2007a). On the use of gridded data to estimate potential coefficients. In: Proc. of the 3rd International GOCE User Workshop, 6-8 November 2006, Frascati, Rome, Italy, pp. 311-318. ISBN 92-9092-938-3, ISSN 1609-042X.
12. Migliaccio, F., M. Reguzzoni, F. Sansò, N. Tselfes, C.C. Tscherning and M. Veicherts (2007b). The latest test of the spacewise approach for GOCE data analysis. In: Proc. of the 3rd International GOCE User Workshop, 6-8 November 2006, Frascati, Rome, Italy, pp. 241-248. ISBN 92-9092-938-3, ISSN 1609-042X.
13. Papoulis, A. (1984). Signal Analysis. McGraw Hill, New York.
14. Reguzzoni, M., and N. Tselfes (submitted). Optimal multistep collocation: application to the space-wise approach for GOCE data analysis. Submitted to Journal of Geodesy. Robert, C.P., and G. Casella (1999). Monte Carlo Statistical Methods. Springer-Verlag, New York.
15. Rummel, R., M. van Gelderen, R. Koop, E. Schrama, F. Sansò, M. Brovelli, F. Migliaccio and F. Sacerdote (1993). Spherical harmonic analysis of satellite gradiometry. Netherlands Geodetic Commission Publications on Geodesy, NewSeries, N. 39.
16. Sneeuw, N., and M. van Gelderen (1997). The polar gap, In: Geodetic Boundary Value Problems in View of the One Centimeter Geoid, Lecture Notes in Earth Sciences, F. Sansò and R. Rummel (eds), Vol. 65, Springer Verlag, Berlin, pp. 559-568.
17. Tscherning, C.C. (2005). Testing frame transformation, gridding and filtering of GOCE gradiometer data by Least-Squares Collocation using simulated data. In: International Association of Geodesy Symposia, 'A Window on the Future of Geodesy', F. Sansò (ed), Vol. 128, Springer-Verlag, Berlin, pp. 277-282.
18. Visser, P.N.A. M, N. Sneeuw and C. Gerlach (2003). Energy integral method for gravity field determination from satellite orbit coordinates. Journal of Geodesy, 77, pp. 207-216.