The solution of the general geodetic boundary value problem by least squares

Journal of Geodesy

Volumn 75, Issue 1, 2001, Pages 1-11

  Van Gelderen, M ^a   Rummel, R ^b  

^a Tech Universität München ^*  (Netherlands)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Geodetic boundary value problem; Geoid

Indexed keywords

GEOID; GRAVITY ANOMALY; NUMERICAL METHOD;

EID: 0035018889     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001900000146     Document Type: Article

References (18)

1. Grafarend E (1980) The Bruns transformation and a dual setup of geodetic observational equations. Rep NOS 85, NGS 16, National Geodetic Survey, Rockville
2. Heiskanen WA, Moritz H (1967) Physical geodesy. Freeman, San Fransico
3. Jackson J (1967) Classical electrodynamics. John Wiley, New York
4. Krarup T, Tscherning C (1984) Evaluation of isotropic covariance functions of torsion balance observations. Bull Géod 58: 180-192
5. Lanczos C (1961) Linear differential operators. Van Nostrand, London
6. Meier S, Keller W (1990) Geostatistik. Springer, Berlin Heidelberg New York
7. Meissl P (1971) A study of covariance functions related to the earth's disturbing potential. Rep 151, Department of Geodetic Science, The Ohio State University, Columbus
8. Meschkowski H (1962) Hilbertsche Räume mit Kernfunktion. Springer, Berlin Heidelberg New York
9. Molodensky M, Eremeev V, Yurkina M (1962) Methods for study of the external gravitational field and figure of the Earth. Israel program for scientific translations, Jerusalem
10. Moritz H (1980) Advanced physical geodesy. Wichmann, Karlsruhe
11. Rummel R, Teunissen P (1986) Geodetic boundary value problem and linear inference. In: Holota P (ed) Int Symp Figure and Dynamics of the Earth, Moon and Planet, Part 1, Astronomical Institute of the Czechoslovak Academy of Sciences, Prague, pp 227-264
12. Rummel R, van Gelderen M (1992) Spectral analysis of the full gravity tensor. Geophys J Int 111(1): 159-169
13. Rummel R, van Gelderen M (1995) Meissl scheme - spectral characteristics of physical geodesy. J Geod 20: 379-385
14. Rummel R, Teunissen PJG, van Gelderen M (1989) Uniquely and overdetermined geodetic boundary value problems by least squares. Bull Géod 63: 1-33
15. Sacerdote F, Sansò F (1985) Overdetermined boundary value problems in physical geodesy. Manuscr Geod 10: 195-207
16. Sansò F (1988) The wiener integral and the overdetermined bvps of physical geodesy. Manuscr Geod 13: 75-98
17. Thorne K (1980) Multipole expansions of gravitational radiation. Rev Mod Phys 52(2): 299-339
18. Vaníček P, Krakiwsky E (1986) Geodesy: the concepts. Elsevier, Amsterdam