The topographic bias by analytical continuation in physical geodesy

Journal of Geodesy

Volumn 81, Issue 5, 2007, Pages 345-350

  Sjoberg L E ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Analytical continuation; Downward continuation; Stokes's formula; Topographic effects

Indexed keywords

GEODESY; GEOID; GRAVITY; SEA LEVEL; STOKES FORMULA; TOPOGRAPHIC EFFECT;

EID: 34248387308     PISSN: 09497714     EISSN: 14321394     Source Type: Journal    
DOI: 10.1007/s00190-006-0112-2     Document Type: Article

References (16)

1. Ågren J (2004) The analytical continuation bias in geoid determination using potential coefficients and terrestrial gravity data. J Geod 78:314-332
2. Bjerhammar A (1962) Gravity reduction to a spherical surface. The Royal Institute of Technology, Division of Geodesy, Stockholm
3. Bjerhammar A (1974) Discrete approaches to the solution of the boundary value problem of physical geodesy. Paper presented at the International School of Geodesy, Erice
4. Heiskanen WA Moritz H (1967) Physical geodesy. Freeman, San Francisco
5. Krarup T (1969) A contribution to the mathematical foundation of physical geodesy. Geodetisk Institut, Meddelelse no. 48, Copenhagen
6. Landkof NS (1972) Foundations of modern potential theory. Springer, Berlin Heidelberg New York
7. Martinec Z (1998) Boundary value problems for gravimetric determination of a precise geoid. Lecture notes in Earth Sciences, 73, Springer, Berlin Heidelberg New York
8. Sjöberg LE (1977) On the errors of spherical harmonic developments of gravity at the surface of the Earth. Rep 257, Department of Geodetic Science, The Ohio State University, Columbus
9. Sjöberg LE (1996a) The terrain effect in geoid computation from satellite derived geopotential models. Boll Geod Sci 55: 385-392
10. Sjöberg LE (1996b) On the error of analytical continuation in physical geodesy. J Geod 70:724-730
11. Sjöberg LE (2000) Topographic effects by the Stokes-Helmert method of geoid and quasi-geoid determinations. J Geod 74(2):255-268
12. Sjöberg LE (2001) Topographic and atmospheric corrections of gravimetric geoid determination with special emphasis of effects of degrees zero and one. J Geod 75:283-290
13. Sjöberg LE (2003a) A computational scheme to model the geoid by the modified Stokes's formula without gravity reductions. J Geod 77:423-432
14. Sjöberg LE (2003b) A solution to the downward continuation effect on the geoid determination by Stokes's formula. J Geod 77: 94-100
15. Smith DA (2002) Computing components of the gravity field induced by distant topographic masses and condensed masses over the entire Earth using the 1-D FFT approach. J Geod 76:150-168
16. Wang YM (1990) The role of the topography in gravity and gradiometer reductions and in the solutions of the geodetic boundary problem using analytical downward continuation. Rep. No. 405, Dept Geod Sci and Surv, The Ohio State University, Columbus