Skip to main content
Have a personal or library account? Click to login
Towards Validation of Satellite Gradiometric Data Using Modified Version of 2nd Order Partial Derivatives of Extended Stokes' Formula Cover

Towards Validation of Satellite Gradiometric Data Using Modified Version of 2nd Order Partial Derivatives of Extended Stokes' Formula

By:   
Open Access
|Apr 2010

References

  1. Albertella A., Migliaccio F. and Sansò F. (2002) GOCE: The Earth Field by Space Gradiometry., Vol. 83, 1-15.
  2. Balmino G., Perosanz F., Rummel R., Sneeuw N., Sünkel H. and Woodworth P. (1998) European Views on Dedicated Gravity Field Missions: GRACE and GOCE., ESA, ESD-MAG-REP-CON-001.
  3. Balmino G., Perosanz F., Rummel R., Sneeuw N. and Suenkel H. (2001) CHAMP, GRACE and GOCE: Mission Concepts and Simulations., Vol. 40, No. 3-4, 309-320.
  4. Bouman J. and Koop R. (2003) Error assessment of GOCE SGG data using along track interpolation,, Vol. 1, 27-32.
  5. Bouman J., Koop R., Haagmans R., Mueller J., Sneeuw N. Tscherning C.C. and Visser P. (2003) Calibration and validation of GOCE gravity gradients,, pp. 1-6
  6. Bouman J., Koop R., Tscherning C.C. and Visser P. (2004) Calibration of GOCE SGG data using high-low STT, terrestrial gravity data and global gravity field models,, Vol. 78, 124-137.
  7. Chen J. Y. (1982) Methods for computing deflections of the vertical by modifying Vening-Meinesz' function,, Vol. 56, 9-26.
  8. Denker H. (2002) Computation of gravity gradients for Europe for calibration/validation of GOCE data,, Thessaloniki, Greece, p.287-292.
  9. Ellmann A. (2004), Doctoral thesis in Geodesy, Royal Institute of Technology, Stockholm, Sweden.
  10. Ellmann A. (2005) Computation of three stochastic modification of Stokes' formula for regional geoid determination,, Vol. 31, 742-755.
  11. ESA (1999), ESA SP-1233(1), Report for mission selection of the four candidate earth explorer missions. ESA Publications Division, pp. 217, July 1999.
  12. Eshagh M. (2009a), Doctoral dissertation in Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden
  13. Eshagh M. (2009b) Alternative expressions for gravity gradients in local-north oriented frame and tensor spherical harmonics,, Vol. 58, 215-243.
  14. Eshagh M. (2009c) Least-squares modification of Stokes' formula with EGM08,, Vol. 35, No. 4, 111-117.
  15. Eshagh M. (2009d) Spherical harmonic expansion of the atmospheric gravitational potential based on exponential and power models of atmosphere,, Vol. 43, 25-43.
  16. Eshagh M. (2009e) Contribution of 1st-3rd order terms of a binomial expansion of topographic heights in topographic and atmospheric effects on satellite gravity gradiometric data,, Vol. 44, 21-31.
  17. Eshagh M. (2009f), Postdoctoral report in Geodesy, TRITA-TEC-RR 09-006, Royal Institute of Technology (KTH), Stockholm, Sweden.
  18. Eshagh M. (2010a) Least-squares modification of extended Stokes' formula and its second-order radial derivative for validation of satellite gravity gradiometry data,, Vol. 49, 92-104.
  19. Eshagh M. (2010b) Semi-stochastic modification of second-order radial derivative of Abel-Poisson formula for generating satellite gravity gradiometry data,(Submitted).
  20. Eshagh M. (2010c) On the convergence of spherical harmonic expansion of topographic and atmospheric biases in gradiometry,, Vol. 39, 273-299.
  21. Eshagh M. and Sjöberg L.E. (2008) Impact of topographic and atmospheric masses over Iran on validation and inversion of GOCE gradiometric data,, Vol. 34, 15-30.
  22. Eshagh M. and Sjöberg L.E. (2009a) Topographic and atmospheric effects on GOCE gradiometric data in a local north-oriented frame: A case study in Fennoscandia and Iran,, Vol. 53, 61-80.
  23. Eshagh M. and Sjöberg L.E. (2009b) Atmospheric effect on satellite gravity gradiometry data,, Vol. 47, 9-19.
  24. Haagmans R. Prijatna K. and Omang O. (2002) An alternative concept for validation of GOCE gradiometry results based on regional gravity,, GG2002, August 26-30, Thessaloniki, Greece.
  25. Hagiwara Y. (1972) Truncation error formulas for the geoidal height and the deflection of the vertical,, Vol. 106, 453-466.
  26. Heiskanen W. and Moritz H. (1967)W.H Freeman and company, San Francisco and London.
  27. Hsu H.T. (1984) Kernel function approximation of Stokes' integral,(Ed. Schwarz P.K.), Aug. 21-Sep. 4, 1984, Beijing, China.
  28. Hwang C. (1995) A method for computing the coefficients in the product-sum formula of associated Legendre functions,, Vol. 70, 110-116.
  29. Hwang C. (1998) Inverse Vening Meinesz formula and deflection-geoid formula: application to the prediction of gravity and geoid over the South China Sea,, Vol. 72, 304-312.
  30. Kern M. and Haagmans R. (2004) Determination of gravity gradients from terrestrial gravity data for calibration and validation of gradiometric GOCE data,, IAG International symposium, Portugal, August 30- September 3, pp. 95-100.
  31. Kern M., Preimesberger T., Allesch M., Pail. R., Bouman J. and Koop R. (2005) Outlier detection algorithms and their performance in GOCE gravity field processing,, Vol. 78, 509-519.
  32. Mainville A. (1986), Report No. 373, 203 pp. The Ohio State University, Columbus.
  33. Molodensky M.S., Eremeev V.F. and Yurkina M.I. (1962)Translated from Russian (1960), Israel program for scientific translation, Jerusalem.
  34. Mueller J. (2003) GOCE gradients in various reference frames and their accuracies,, Vol. 1, 33-38.
  35. Mueller J., Denker H., Jarecki F. and Wolf K.I. (2004) Computation of calibration gradients and methods for in-orbit validation of gradiometric GOCE data,, ESA-ESRIN, Frascati, Italy, 8-10 March 2004.
  36. Neyman Yu. M. Li J. and Liu Q. (1996) Modification of Stokes and Vening-Meinesz formulas for the inner zone of arbitrary shape by minimization of upper bound truncation errors,, Vol. 70, 410-418.
  37. Pail R. (2003) Local gravity field continuation for the purpose of in-orbit calibration of GOCE SGG observations,, Vol. 1, 11-18
  38. Paul M.K. (1973) A method of evaluating the truncation error coefficients for geoidal height,, Vol. 110, 413-425.
  39. Pavlis N.K. and Holmes S.A. (2006) A preliminary earth gravitational model to degree 2160,, GGSM2004, Porto, Portugal August 30 - September 3, 2004
  40. Petrovskaya M.S. and Vershkov A.N. (2006) Non-singular expressions for the gravity gradients in the local north-oriented and orbital reference frames,, Vol. 80, 117-127.
  41. Reed G.B. (1973), Ohio state University, Dept. of Geod Science, Rep. No. 201, Columbus, Ohio.
  42. Sjöberg L.E. (1980) Least-squares combination of satellite harmonics and integral formulas in physical geodesy,, Vol. 89, No. 5, 371-377.
  43. Sjöberg L.E. (1981) Least-squares combination of terrestrial and satellite data in physical geodesy,, Vol. 37, 25-30.
  44. Sjöberg L.E. (1984a) Least-Squares modification of Stokes' and Vening-Meinez' formula by accounting for truncation and potential coefficients errors., Vol. 9:209-229.
  45. Sjöberg L.E. (1984b) Least-, Report No. 27, Department of Geodesy, Uppsala.
  46. Sjöberg L.E. (1991) Refined least-squares modification of Stokes' formula,, Vol. 16, 367-375.
  47. Sjöberg L.E. (2003) A general model for modifying Stokes' formula and its leastsquares solution,, Vol. 77, 459-464.
  48. Tóth G., Földváry L., Tziavos I. and Adam J. (2004) Upward/downward continuation of gravity gradients for precise geoid determination,, ESA-ESRIN, Frascati, Italy, 8-10 March 2004.
  49. Tóth G., Földváry L., Tziavos I. and Adam J. (2006) Upward/downward continuation of gravity gradients for precise geoid determination,, Vol. 41, 21-30.
  50. Tóth G., Földváry L. and Tziavos I. N. (2007) Practical aspects of upward/downward continuation of gravity gradients,, ESA-ESRIN, Frascati, Italy, 6-8 Nov. 2006 (ESA SP-627, January 2007).
  51. Tscherning C.C. and Rapp R. (1974)Rep. 355. Dept. Geod. Sci. Ohio State University, Columbus, USA.
  52. Tscherning C.C., Veicherts M. and Arabelos D. (2006) Calibration of GOCE gravity gradient data using smooth ground gravity,, Vol. 25, pp. 63-67, Luxenburg.
  53. Tziavos I.N. and Andritsanos V.D. (1998) Improvement in the computation of deflection of the vertical by FFT,, Vol. 23, 71-75.
  54. Wenzel H.G. (1981) Zur Geoidbestimmung durch kombination von schwereanomalien und einem kugelfuncationsmodell mit hilfe von integralformeln., Vol. 106, No. 3, 102-111.
  55. Wolf K. I. (2007), PhD thesis, University of Hannover, Germany.
  56. Zielinsky J.B. and Petrovskaya M.S. (2003) The possibility of the calibration/validation of the GOCE data with the balloon-borne gradiometer,, Vol. 1, 149-153.
  57. Ågren J. (2004), Numerical investigations using synthetic Earth gravity models, Doctoral thesis in Geodesy, Royal Institute of Technology, Stockholm, Sweden.
DOI: https://doi.org/10.2478/v10018-009-0024-5 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859 (formerly 0208-841X)
Language: English
Page range: 103 - 129
Published on: Apr 26, 2010
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services

© 2010 M. Eshagh, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.