Skip to main content
Have a personal or library account? Click to login
Contribution of 1st -3rd Order Terms of a Binomial Expansion of Topographic Heights in Topographic and Atmospheric Effects on Satellite Gravity Gradiometric Data Cover

Contribution of 1st -3rd Order Terms of a Binomial Expansion of Topographic Heights in Topographic and Atmospheric Effects on Satellite Gravity Gradiometric Data

By:   
Open Access
|Oct 2009

References

  1. Ecker E. and Mittermayer E. (1969) Gravity corrections for the influence of the atmosphere., Vol. 11, 70-80.
  2. Eshagh M. (2008) Non-singular expression for the vector and gradient tensor in a geocentric spherical frame,, Vol. 32, 1762-1768.
  3. Eshagh M. (2009a), Doctoral dissertation in Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden
  4. Eshagh M. (2009b) Spherical harmonic expansion of the atmospheric gravitational potential based on exponential and power models of atmosphere,, Vol. 43, No. 1, 25-43.
  5. Eshagh M. and Sjöberg L.E. (2008) Impact of topographic and atmospheric masses over Iran on validation and inversion of GOCE gradiometric data,, Vol. 4, No. 3, 15-30.
  6. 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.
  7. Eshagh M. and Sjöberg L.E. (2009b) Atmospheric effect on satellite gravity gradiometry data,, Vol. 47, 9-19.
  8. Heck B. (2003) On Helmert's Methods of Condensation., Vol. 7, 155-170.
  9. Heiskanen W. and Moritz H. (1967)W.H Freeman and company, San Fransisco and London.
  10. Koop R. (1993), Publication in Geodesy, New Series, No. 38. Netherlands Geodetic Commission, Delft.
  11. Lambeck K., (1988)Clarendon, Oxford University Press, New York
  12. Makhloof A. (2007), Doctoral dissertation, Dept. of Theoretical and Physical Geodesy, Bonn, Germany.
  13. Makhloof A. and Ilk K.H. (2005) Far-zone topography effects on gravity and geoid heights according to Helmert's methods of condensation and based on Airy-Heiskanen model,, El-Minia, April 3-5, 2005.
  14. Makhloof A. and Ilk K. H. (2006) Band-limited topography effects in airborne gravimetry using space localizing base functions,, 3 April, 2006
  15. Martinec Z., Matyska C., Grafarend E.W. and Vaníček P. (1993) On Helmert's 2condensation method,, Vol. 18, 417-421.
  16. Martinec Z. and Vaníček P. (1994) Direct topographical effect of Helmert's condensation for a spherical geoid., Vol. 19, 257-268.
  17. Mueller J. (2003) GOCE gradients in various reference frames and their accuracies,, Vol. 1, 33-38.
  18. Novák P. (2000)Technical Report 207, Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, Canada.
  19. Nahavandchi J. (2004) A new strategy for the atmospheric gravity effect in gravimetric geoid determination,, Vol. 77, 823-828.
  20. Novák P. and Grafarend E.W. (2006) The effect of topographical and atmospherical masses on spaceborne gravimetric and gradiometric data,, Vol. 50, 549-582.
  21. Petrovskaya M.S. and Vershkov A.N. (2006) Non-singular expressions for the gravity gradients in the local north-oriented and orbital frames,, Vol. 80, 117-127.
  22. Reference Atmosphere Committee (1961)., April 1961. North Holland Publ. Co., Amsterdam.
  23. Seitz K. and Heck B. (2003) Efficient calculation of topographic reductions by the use of tesseroids., Nice, France, 6-11 April 2003.
  24. Sjöberg L.E. (1993) Terrain effects in the atmospheric gravity and geoid correction., Vol. 64, 178-184.
  25. Sjöberg L.E. (1998a) The ellipsoidal corrections to the topographic geoid effects,, Vol. 77, 804-808.
  26. Sjöberg L.E. (1998b) The atmospheric geoid and gravity corrections,-No.4, 421-435.
  27. Sjöberg L.E. (1999) The IAG approach to the atmospheric geoid correction in Stokes's formula and a new strategy,, Vol. 73, 362-366.
  28. Sjöberg L.E. (2000) Topographic effects by the Stokes-Helmert method of geoid and quasigeoid determinations., Vol. 74, 255-268.
  29. Sjöberg L.E. (2001) Topographic and atmospheric corrections of gravimetric geoid determination with special emphasis on the effects of harmonics of degrees zero and one,, Vol. 75, 283-290.
  30. Sjöberg Le. E (2006) The effects of Stokes's formula for an ellipsoidal layering of the earth's atmosphere,, Vol. 79, 675-681.
  31. Sjöberg L.E. (2007) Topographic bias by analytical continuation in physical geodesy., Vol. 81, 345-350.
  32. Sjöberg L.E. and Nahavandchi H. (1999) On the indirect effect in the Stokes-Helmert method of geoid determination., Vol. 73, 87-93.
  33. Sjöberg L.E. and Nahavandchi H. (2000) The atmospheric geoid effects in Stokes formula,, Vol. 140, 95-100.
  34. Sun W. and Sjöberg L.E. (2001) Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections,, Vol. 74, 627-636.
  35. Tenzer R., Novák P., Moore P. and Vajda P. (2006) Atmospheric effects in the derivation of geoid-generated gravity anomalies,, Vol. 50, 583-593.
  36. Tsoulis D. (2001) Terrain correction computations for a densly sampled DTM in the Bavarian Alps., Vol. 75, 291-307.
  37. United State Standard Atmosphere (1976), Washington D.C.
  38. Wieczorek M. A. (2007) The gravity and topography of the terrestrial planets,, Vol. 10, 165-206.
  39. Wild F. and Heck B. (2004a) A comparison of different isostatic models applied to satellite gravity gradiometry, Gravity, Geoid and Space Missions GGSM 2004.Porto, Portugal August 30-September 3, 2004.
  40. Wild F. and Heck B. (2004b) Effects of topographic and isostatic masses in satellite gravity gradiometry., Frascati/Italy, March 8-10, 2004 (ESA SP - 569, June 2004), CD-ROM.
DOI: https://doi.org/10.2478/v10018-009-0016-5 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859 (formerly 0208-841X)
Language: English
Page range: 21 - 31
Published on: Oct 9, 2009
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services

© 2009 M. Eshagh, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.