Fast and accurate computation of spherical harmonic coefficients from satellite gravity gradiometry data

Journal of Geodesy

Volumn 76, Issue 11-12, 2003, Pages 690-705

  Ditmar, P ^a   Klees, R ^a   Kostenko, F ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Gravity field and steady state ocean circulation explorer; Satellite gravity gradiometry; Spherical harmonics earth's gravity field

Indexed keywords

DATA INVERSION; GEODESY; GRAVITY FIELD; SATELLITE DATA; SPHERICAL HARMONICS;

EID: 0037367917     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-002-0298-x     Document Type: Article

References (34)

1. Alenia (2001) Performance requirements and budgets for the gradiometric mission. Tech note GO-TN-AI-0027, Turin
2. Arabelos D, Tscherning CC (1990) Simulation of regional gravity field recovery from satellite gravity gradiometer data using collocation and FFT. Bull Géod 64: 363-382
3. Arabelos D, Tscherning CC (1995) Regional recovery of the gravity field from satellite gravity gradiometer and gravity vector data using collocation. J Geophys Res B 100(B11): 22 009-22 015
4. Arabelos D, Tscherning CC (1999) Gravity field recovery from airborne gradiometer data using collaction and taking into account correlated errors. Phys Chem Earth(A) 24: 19-25
5. Bertsekas DP (1982) Constrained optimization and Lagrange multiplier methods. Academic Press, New York
6. Bouman J (2000) Quality assessment of satellite-based global gravity field models. Ph.D Thesis, Delft University of Technology
7. Colombo CL (1986) Notes on the mapping of the gravity field using satellite data. In: Sünkell H (ed) Mathematical and numerical techniques in physical geodesy. Lecture Notes in Earth Sciences, vol 7. Springer, Berlin Heidelberg New York, pp 261-316
8. Ditmar P, Klees R (2001) Time-wise determination of the Earth gravity field from SGG observations. In: Proc Int GOCE User Workshop, 23-24 April, ESTEC, Noordwijk, The Netherlands. European Space Agency, pp 69-74
9. Ditmar P, Klees R (2002) A method to compute the Earth's gravity field from SGG/SST data to be acquired by the GOCE satellite, Delft University Press, Delft
10. European Space Agency (1999) Gravity field and steady-state ocean circulation missions. Reports for mission selection. The four candidate Earth explorer core missions, SP-1233(1). European Space Agency
11. Space Agency (2000) From Eötvös to mGal. Final report, ESA/ ESTEC contract 13392/98/NL/GD. European Space Agency, Graz, Austria
12. Hestenes MR, Stiefel E (1952) Methods of conjugate gradients for solving linear systems. J Res Nat Bur Stand 49: 409-436
13. Kaula WM (1966) Theory of satellite geodesy. Blaisdell Publishing Company, Waltham, Massachusetts, Toronto, London
14. Klees R (1999) Numerical analysis. Delft University of Technology, Faculty of Geodetic Engineering, Delft
15. Klees R, Broersen P (2002) How to handle colored observation noise in large-scale least-squares problems? - Building the optimal filter. Delft University Press, Delft
16. Klees R, Koop R, Visser P, van den IJssel J (2000) Efficient gravity field recovery from GOCE gravity gradient observations. J Geod 74: 561-571
17. Klees R, Ditmar P, Broersen P (in press) How to handle colored observation noise in large-scale least-square problems? J Geod
18. Koop R (1993) Global gravity field modeling using satellite gravity gradiometry. Publ Geodesy, New series, no. 38. Nederlands Geodetic Commission, Delft
19. Koop R, Visser P, van den IJssel J, Bouman J, van Gelderen M (2000) Simulation of gravity gradients. In: GOCE End-to-end Closed Loop Simulation. Final report. NIVR NRT no. 2703 TU, Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, pp. 25-33
20. Moritz H (1971) Kinematic geodesy II. Rep 165, Department of Geodetic Science, The Ohio State University, Columbus
21. Moritz H (1980) Geodetic reference system 1980. Bull Géod 54: 395-405
22. Overhauser AW (1968) Analytic definition of curves and surfaces by parabolic blending. Tech rep SL68-40, Scientific research staff publication. Ford Motor Company, Detroit
23. Rapp R, Wang Y, Pavlis N (1991) The Ohio state 1991 geopotential and sea surface topography harmonic coefficient models. Rep 410, Department of Geodetic Science and Surveying, The Ohio State University, Columbus
24. Rummel R, van Gelderen M, Koop R, Schrama E, Sansò F, Brovelli M, Miggliaccio F, Sacerdote F (1993) Spherical harmonic analysis of satellite gravity gradiometry. Publ Geodesy, New series, no. 39. Nederlands Geodetic Commission, Delft
25. Schönauer W (2000) Architecture and use of shared and distributed memory parallel computers. Published by Willi Schönauer, Karlstuhe
26. Schrama E (1991) Gravity field error analysis: applications of GPS receivers and gradiometers on low orbiting platforms. J Geophys Res B 96(B12): 20 041-20 051
27. Schuh WD (1996) Tailored numerical solution strategies for the global determination of the Earth's gravity field. Folge 81, Mitteilungen der geodätischen Institute der Technischen Universität Graz, Graz
28. Schuh WD (2000) Scientific data processing algorthms. In: From Eötvös to mGal. Final rep, ESA/ESTEC contract 13392/98/NL/ GD, pp. 105-156. European Space Agency, Graz, Austria
29. Smirnov VI (1961) Linear algebra and group theory. McGraw-Hill, New York
30. Sneeuw N (2000) A semi-analytical approach to gravity field analysis from satellite observations. Reihe C, Heft nr 527, Deutsche Geodätische Kommission, München
31. Sneeuw NJ (1992) Representation coefficients and their use in satellity geodesy. Manuscr Geod 17: 117-123
32. Tscherning CC (1976) Computation of the second-order derivatives of the normal potential based on the representation by a legendre series. Manuscr Geod 1: 71-92
33. Welch PD (1967) The use of Fast Fourier Transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust AU-15(2): 70-73
34. Wessel P, Smith WHF (1991) Free software helps map and display data. EOS Trans. AGU 72: 441, 445-446