Solving the Topographic Potential Bias as an Initial Value Problem

L. Sjöberg

doi:10.2478/v10018-009-0021-8

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Solving the Topographic Potential Bias as an Initial Value Problem

Artificial Satellites

Volume 44 (2009): Issue 3 (September 2009)

By: L. Sjöberg

Open Access

|Feb 2010

Ågren J. (2004), Doctoral dissertation in Geodesy, Royal Institute of Technology, TRITA-INFRA 04-033, Stockholm.
Search in Google Scholar
Bjerhammar A. (1962)Royal Institute of Technology, Division of Geodesy, Stockholm
Search in Google Scholar
Bjerhammar A (1974) Discrete approaches to the solution of the boundary value problem of physical geodesy.
Search in Google Scholar
Cook A. H. (1967) The determination of the external gravity field of the Earth from observation of artificial satellites., Vol. 13.
Open DOI Search in Google Scholar
Heiskanen W. A. and H. Moritz (1967).W H Freeman and Co., San Francisco and London
Open DOI Search in Google Scholar
Holota P. (1994) Two branches of the Newton potential and geoid. In H Suenkel and I Marson (eds.): Gravity and Geoid.No. 113, Graz, Springer, 205-214
Search in Google Scholar
Holota P. (1996) Geoid, Cauchy's problem and displacement. In J Segawa, H Fujimoto and S Okubo (eds.): Gravity, Geoid and Marin Geodesy.No. 117, Tokyo, Springer, 368-375
Search in Google Scholar
Kellog O. D.(1953), Dover Publ., Inc., New York
Search in Google Scholar
Krarup T. (1969) A contribution to the mathematical foundation of physical geodesy. Geodaetisk Institut, Meddelelse no. 48, Copenhagen
Search in Google Scholar
Landkof N. S. (1972), Springer, Berlin, Heidelberg, New York
Open DOI Search in Google Scholar
Moritz H. (1980)Herbert Wichmann Verlag, Karlsruhe.
Search in Google Scholar
Rapp R. H. (1997) Use of potential coefficient models for geoid undulation determinations using a spherical harmonic representation of the height anomaly/geoid undulation difference,, Vol. 71, 282-289.
Open DOI Search in Google Scholar
Sjöberg L. E. (1977), Depth Geod Sci Rep No. 257, The OSU, Columbus, OH
Open DOI Search in Google Scholar
Sjöberg L. E. (2003a) A solution to the downward continuation effect on the geoid determined by Stokes's formula,, Vol. 77, 94-100
Open DOI Search in Google Scholar
Sjöberg L. E. (2003b) A computational scheme to model the geoid by the modified Stokes's formula without gravity reductions,, Vol. 77, 423-432
Open DOI Search in Google Scholar
Sjöberg L. E. (2007) The topographic bias by analytical continuation in physical geodesy,, Vol. 81, 345-350
Search in Google Scholar
Sjöberg L. E.(2008) Answers to the comments by M. Vermeer on L. E. Sjöberg (2007) "The topographic bias by analytical continuation in physical geodesy" J Geod 81:345-350,, Vol. 82, 451-452
Open DOI Search in Google Scholar
Sjöberg L. E. (2009a) The terrain correction in gravimetric geoid computation - is it needed?, Vol. 176, 14-18.
Open DOI Search in Google Scholar
Sjöberg L. E. (2009b) On the topographic bias in geoid determination by the external gravity field,, Vol. 83, 967-972.
Open DOI Search in Google Scholar
Vermeer M. (2008) Comment on Sjöberg (2007) "The topographic bias by analytical continuation in physical geodesy "J Geod 81(5),345-350,, Vol. 82, 445-450.
Search in Google Scholar