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

Artificial Satellites
Volume 44 (2009): Issue 1 (March 2009)
By: M. Eshagh  
Open Access
|Oct 2009

References

  1. Ecker E. and Mittermayer E. (1969) Gravity corrections for the influence of the atmosphere. Bollettino di Geofisica Teorica ed Applicata, Vol. 11, 70-80.
    Search in Google Scholar
  2. Eshagh M. (2008) Non-singular expression for the vector and gradient tensor in a geocentric spherical frame, Computers & Geosciences, Vol. 32, 1762-1768.
    Search in Google Scholar
  3. Eshagh M. (2009a) On satellite gravity gradiometry, Doctoral dissertation in Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden
    Search in Google Scholar
  4. Eshagh M. (2009b) Spherical harmonic expansion of the atmospheric gravitational potential based on exponential and power models of atmosphere, Artificial Satellites, Vol. 43, No. 1, 25-43.10.2478/v10018-009-0005-8
    Search in Google Scholar
  5. Eshagh M. and Sjöberg L.E. (2008) Impact of topographic and atmospheric masses over Iran on validation and inversion of GOCE gradiometric data, Journal of the Earth and Space Physics, Vol. 4, No. 3, 15-30.
    Search in Google Scholar
  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, Studia Geophysica et Geodaetica, Vol. 53, 61-80.10.1007/s11200-009-0004-z
    Search in Google Scholar
  7. Eshagh M. and Sjöberg L.E. (2009b) Atmospheric effect on satellite gravity gradiometry data, Journal of Geodynamics, Vol. 47, 9-19.10.1016/j.jog.2008.06.001
    Search in Google Scholar
  8. Heck B. (2003) On Helmert's Methods of Condensation. Journal of Geodesy, Vol. 7, 155-170.10.1007/s00190-003-0318-5
    Search in Google Scholar
  9. Heiskanen W. and Moritz H. (1967) Physical Geodesy. W.H Freeman and company, San Fransisco and London.10.1007/BF02525647
    Search in Google Scholar
  10. Koop R. (1993) Global gravity field modeling using satellite gravity radiometry, Publication in Geodesy, New Series, No. 38. Netherlands Geodetic Commission, Delft.10.54419/a6sz3c
    Search in Google Scholar
  11. Lambeck K., (1988) Geophysical geodesy, the slow deformations of the Earth. Clarendon, Oxford University Press, New York
    Search in Google Scholar
  12. Makhloof A. (2007) The use of topographic-isostatic mass information in geodetic applications, Doctoral dissertation, Dept. of Theoretical and Physical Geodesy, Bonn, Germany.
    Search in Google Scholar
  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, proceedings the 3rd minia International conference for advanced trends in Engineering, El-Minia, April 3-5, 2005.
    Search in Google Scholar
  14. Makhloof A. and Ilk K. H. (2006) Band-limited topography effects in airborne gravimetry using space localizing base functions, European geosciences Union, 3 April, 2006
    Search in Google Scholar
  15. Martinec Z., Matyska C., Grafarend E.W. and Vaníček P. (1993) On Helmert's 2nd condensation method, Manuscripta Geodaetica, Vol. 18, 417-421.
    Search in Google Scholar
  16. Martinec Z. and Vaníček P. (1994) Direct topographical effect of Helmert's condensation for a spherical geoid. Manuscripta Geodaetica, Vol. 19, 257-268.
    Search in Google Scholar
  17. Mueller J. (2003) GOCE gradients in various reference frames and their accuracies, Advances in Geosciences, Vol. 1, 33-38.
    Search in Google Scholar
  18. Novák P. (2000) Evaluation of gravity data for the Stokes-Helmert solution to the the geodetic boundary-value problem. Technical Report 207, Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, Canada.
    Search in Google Scholar
  19. Nahavandchi J. (2004) A new strategy for the atmospheric gravity effect in gravimetric geoid determination, Journal of Geodesy, Vol. 77, 823-828.
    Search in Google Scholar
  20. Novák P. and Grafarend E.W. (2006) The effect of topographical and atmospherical masses on spaceborne gravimetric and gradiometric data, Studia Geophysica et Geodaetica, Vol. 50, 549-582.
    Search in Google Scholar
  21. Petrovskaya M.S. and Vershkov A.N. (2006) Non-singular expressions for the gravity gradients in the local north-oriented and orbital frames, Journal of Geodesy, Vol. 80, 117-127.
    Search in Google Scholar
  22. Reference Atmosphere Committee (1961). Report of the preparatory group for an international reference atmosphere accepted at the COSPAR Meeting in Florance, April 1961. North Holland Publ. Co., Amsterdam.
    Search in Google Scholar
  23. Seitz K. and Heck B. (2003) Efficient calculation of topographic reductions by the use of tesseroids. Presentation at the joint assembly of the EGS, AGU and EUG, Nice, France, 6-11 April 2003.
    Search in Google Scholar
  24. Sjöberg L.E. (1993) Terrain effects in the atmospheric gravity and geoid correction. Bulletin Geodesique, Vol. 64, 178-184.10.1007/BF00806256
    Search in Google Scholar
  25. Sjöberg L.E. (1998a) The ellipsoidal corrections to the topographic geoid effects, Journal of Geodesy, Vol. 77, 804-808.10.1007/s00190-004-0377-2
    Search in Google Scholar
  26. Sjöberg L.E. (1998b) The atmospheric geoid and gravity corrections, Bollettino di geodesia e scienze affini-No.4, 421-435.
    Search in Google Scholar
  27. Sjöberg L.E. (1999) The IAG approach to the atmospheric geoid correction in Stokes's formula and a new strategy, Journal of Geodesy, Vol. 73, 362-366.
    Search in Google Scholar
  28. Sjöberg L.E. (2000) Topographic effects by the Stokes-Helmert method of geoid and quasigeoid determinations. Journal of Geodesy, Vol. 74, 255-268.10.1007/s001900050284
    Search in Google Scholar
  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, Journal of Geodesy, Vol. 75, 283-290.10.1007/s001900100174
    Search in Google Scholar
  30. Sjöberg Le. E (2006) The effects of Stokes's formula for an ellipsoidal layering of the earth's atmosphere, Journal of Geodesy, Vol. 79, 675-681.
    Search in Google Scholar
  31. Sjöberg L.E. (2007) Topographic bias by analytical continuation in physical geodesy. Journal of Geodesy, Vol. 81, 345-350.10.1007/s00190-006-0112-2
    Search in Google Scholar
  32. Sjöberg L.E. and Nahavandchi H. (1999) On the indirect effect in the Stokes-Helmert method of geoid determination. Journal of Geodesy, Vol. 73, 87-93.10.1007/s001900050222
    Search in Google Scholar
  33. Sjöberg L.E. and Nahavandchi H. (2000) The atmospheric geoid effects in Stokes formula, Geophysical Journal International, Vol. 140, 95-100.
    Search in Google Scholar
  34. Sun W. and Sjöberg L.E. (2001) Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections, Journal of Geodesy, Vol. 74, 627-636.
    Search in Google Scholar
  35. Tenzer R., Novák P., Moore P. and Vajda P. (2006) Atmospheric effects in the derivation of geoid-generated gravity anomalies, Studia Geophysica et Geodaetica, Vol. 50, 583-593.
    Search in Google Scholar
  36. Tsoulis D. (2001) Terrain correction computations for a densly sampled DTM in the Bavarian Alps. Journal of Geodesy, Vol. 75, 291-307.10.1007/s001900100176
    Search in Google Scholar
  37. United State Standard Atmosphere (1976) Joint model of the National Oceanic and Atmospheric administration, national aeronautics and space administration and United States air force, Washington D.C.
    Search in Google Scholar
  38. Wieczorek M. A. (2007) The gravity and topography of the terrestrial planets, Treatise on Geophysics, Vol. 10, 165-206.
    Search in Google Scholar
  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. IAG International Symposium Porto, Portugal August 30-September 3, 2004.
    Search in Google Scholar
  40. Wild F. and Heck B. (2004b) Effects of topographic and isostatic masses in satellite gravity gradiometry. Proc. Second International GOCE User Workshop GOCE. The Geoid and Oceanography, ESA-ESRIN, Frascati/Italy, March 8-10, 2004 (ESA SP - 569, June 2004), CD-ROM.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10018-009-0016-5 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Journal RSS Feed
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
Publication frequency: 4 issues per year
Keywords:
Spherical harmonics,
potential,
binomial expansion,
atmospheric density model,
global topographic height model
Related subjects:
Geosciences,
Geosciences, other

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

Volume 44 (2009): Issue 1 (March 2009)