Contribution of 1st -3rd Order Terms of a Binomial Expansion of Topographic Heights in Topographic and Atmospheric Effects on Satellite Gravity Gradiometric Data
By: M. Eshagh
Open Access
|Oct 2009References
- Ecker E. and Mittermayer E. (1969) Gravity corrections for the influence of the atmosphere., Vol. 11, 70-80.
- Eshagh M. (2008) Non-singular expression for the vector and gradient tensor in a geocentric spherical frame,, Vol. 32, 1762-1768.
- Eshagh M. (2009a), Doctoral dissertation in Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden
- 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.
- 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.
- 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.
- Eshagh M. and Sjöberg L.E. (2009b) Atmospheric effect on satellite gravity gradiometry data,, Vol. 47, 9-19.
- Heck B. (2003) On Helmert's Methods of Condensation., Vol. 7, 155-170.
- Heiskanen W. and Moritz H. (1967)W.H Freeman and company, San Fransisco and London.
- Koop R. (1993), Publication in Geodesy, New Series, No. 38. Netherlands Geodetic Commission, Delft.
- Lambeck K., (1988)Clarendon, Oxford University Press, New York
- Makhloof A. (2007), Doctoral dissertation, Dept. of Theoretical and Physical Geodesy, Bonn, Germany.
- 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.
- Makhloof A. and Ilk K. H. (2006) Band-limited topography effects in airborne gravimetry using space localizing base functions,, 3 April, 2006
- Martinec Z., Matyska C., Grafarend E.W. and Vaníček P. (1993) On Helmert's 2condensation method,, Vol. 18, 417-421.
- Martinec Z. and Vaníček P. (1994) Direct topographical effect of Helmert's condensation for a spherical geoid., Vol. 19, 257-268.
- Mueller J. (2003) GOCE gradients in various reference frames and their accuracies,, Vol. 1, 33-38.
- Novák P. (2000)Technical Report 207, Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, Canada.
- Nahavandchi J. (2004) A new strategy for the atmospheric gravity effect in gravimetric geoid determination,, Vol. 77, 823-828.
- Novák P. and Grafarend E.W. (2006) The effect of topographical and atmospherical masses on spaceborne gravimetric and gradiometric data,, Vol. 50, 549-582.
- 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.
- Reference Atmosphere Committee (1961)., April 1961. North Holland Publ. Co., Amsterdam.
- Seitz K. and Heck B. (2003) Efficient calculation of topographic reductions by the use of tesseroids., Nice, France, 6-11 April 2003.
- Sjöberg L.E. (1993) Terrain effects in the atmospheric gravity and geoid correction., Vol. 64, 178-184.
- Sjöberg L.E. (1998a) The ellipsoidal corrections to the topographic geoid effects,, Vol. 77, 804-808.
- Sjöberg L.E. (1998b) The atmospheric geoid and gravity corrections,-No.4, 421-435.
- Sjöberg L.E. (1999) The IAG approach to the atmospheric geoid correction in Stokes's formula and a new strategy,, Vol. 73, 362-366.
- Sjöberg L.E. (2000) Topographic effects by the Stokes-Helmert method of geoid and quasigeoid determinations., Vol. 74, 255-268.
- 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.
- Sjöberg Le. E (2006) The effects of Stokes's formula for an ellipsoidal layering of the earth's atmosphere,, Vol. 79, 675-681.
- Sjöberg L.E. (2007) Topographic bias by analytical continuation in physical geodesy., Vol. 81, 345-350.
- Sjöberg L.E. and Nahavandchi H. (1999) On the indirect effect in the Stokes-Helmert method of geoid determination., Vol. 73, 87-93.
- Sjöberg L.E. and Nahavandchi H. (2000) The atmospheric geoid effects in Stokes formula,, Vol. 140, 95-100.
- 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.
- Tenzer R., Novák P., Moore P. and Vajda P. (2006) Atmospheric effects in the derivation of geoid-generated gravity anomalies,, Vol. 50, 583-593.
- Tsoulis D. (2001) Terrain correction computations for a densly sampled DTM in the Bavarian Alps., Vol. 75, 291-307.
- United State Standard Atmosphere (1976), Washington D.C.
- Wieczorek M. A. (2007) The gravity and topography of the terrestrial planets,, Vol. 10, 165-206.
- 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.
- 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
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© 2009 M. Eshagh, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.