On the error of analytical continuation in physical geodesy

Journal of Geodesy

Volumn 70, Issue 11, 1996, Pages 724-730

  Sjöberg, Lars E ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; GEODESY; GEOID; GRAVITY; HEIGHT;

EID: 0030440806     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00867150     Document Type: Article

References (17)

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2. Bjerhammar, A. (1963): A new theory of gravimetric geodesy. Royal Institute of Technology, Division of Geodesy, Stockholm.
3. Bjerhammar, A. (1964): A new theory of geodetic gravity. Royal Institute of Technology, Division of Geodesy, Stockholm.
4. Bjerhammar, A. (1969): On the boundary value problem of physical geodesy. Tellus XXI, 4.
5. Bjerhammar, A. (1975): Discrete approaches to the solution of the boundary value problem in physical geodesy. Boll. Geod. Sci. Affini, Vol. 34, pp. 185-240.
6. Bjerhammar, A. and L. Svensson (1979): The convergence of harmonic reduction to an internal sphere. Bull. Géod., Vol, 53, pp. 247-257.
7. Helmert, F.R. (1884): Die mathematischen und physikalischen Theorien der höheren Geodäsie, Vol. 2, B.G. Teubner, Leipzig.
8. Heiskanen, W. and H. Moritz (1967): Physical Geodesy. W.H Freeman and Company, San Fransisco and London.
9. Krarup, T. (1969): A contribution to the Mathematical Foundation of Physical Geodesy, Meddelelse No. 44, Geodaetisk Institut, Copenhagen.
10. Moritz, H. (1966 a): Methods for downward continuation of gravity. DGK, Series A, Vol. no. 50, Munich.
11. Moritz, H. (1966 b): Linear solutions of the geodetic boundary value problem. The Department of Geodetic Science Report, No. 79, The Ohio State University, Columbus, Ohio.
12. Moritz, H. (1980): Advanced Physical Geodesy. Herbert Wichmann Verlag, Karlsruhe
13. Sjöberg, L. E. (1994): On the terrain effects in geoid and quasigeoid determinations using Helmert's second condensation method. Division of Geodesy Report No. 36, (TRITA-GEOD 1036), KTH, Stockholm.
14. Sjöberg, L.E. (1995 a): On the quasigeoid to geoid separation. Manuscripta Geodaetica, Vol. 20, pp. 182-192.
15. Sjöberg, L.E. (1995 b): On the downward continuation error at the Earth's surface and the geoid of satellite derived geopotential models. Submitted to Manuscripta Geodaetica.
16. Wang, Y. M. (1990): The effect of topography on the determination of the geoid using analytical down-ward continuation. Bull. Géod., Vol. 64, pp. 231-246.
17. Wang, Y. M. (1995): On the error of analytical downward continuation under planar approximation. Manuscripta Geodaetica, Vol. 20, pp. 34-45.