Abstract
The paper has two main targets: to prove by numerical experiment on simulated data (exact solution a priori known) that the integrated approach gives superior results that can’t be achieved neither by pure (“incorrect”) λ.s. adjustment nor by a λ.s. adjustment of observations corrected by some a priori long wave length gravity model; to find among many strategies for approximate solutions, one which preserves most of the features of the exact one, although with a much simpler numerical structure.
Similar content being viewed by others
References
R. BARZAGHI, B. BETTI, F. SANSÒ: Integrated Geodesy: A Purely Local Approach. Atti del 30 Convegno del GNGTS-CNR, Rome, Nov. 14–16 1984, Rome, (1984).
B. BENCIOLINI, B. BETTI, M. MUSSIO, F. SANSÒ: Experience of Integrated Geodesy and Related Sciences at the I.T.M. Minutes of the Joint Workshop on Combined Adjustment of Heterogeneous Geodetic and Photogrammetric Data. University FAF, Munich, Sept. 22–24 1986, Munich. (1986).
B. BETTI: Compensazione di una Rete Geodetica con introduzione di Misure Spaziali. Doctorate Thesis in Geodetic and Surveying Sciences, Milan. (1987).
A. DERMANIS: Adjustment of geodetic observations in the presence of signals. ZfV, No. 11-1979.
J. EEG, T. KRARUP: Integrated Geodesy. In B. Brosowsky and E. Martensen (Eds.) Methoden und Verfahren der mathematischen Physik, Band 13, Wissenschaftsverlag Bibliographisches Institut, Mannheim, Wien-Zurich. (1975).
R. FORSBERG: A Study on Terrain Reductions, Density Anomalies and Geophysical in Gravity Field Modelling. OSU Report of Dept. of Geodetic Science, No. 355. (1984).
E.W. GRAFAREND: Operational Geodesy. Approximation Methods in Geodesy. H. Wichmann Verlag, Karlsruhe. (1978).
G.W. HEIN: A Contribution to 3D Operational Geodesy; part 1 and part 2. Proc. of the IAG Symposium on Geodetic Networks and Computations. Munich Aug. 31–Sept. 5, 1981, Dt. Geod. Komm. Reihe B N258/VII. (1982).
G.W. HEIN: Integrated Geodesy—State of the Art 1986 Reference Text. Mathematical and Numerical Techniques in Physical Geodesy. Springer Verlag, Berlin. (1986).
G.W. HEIN, H. LANDAU, J. KAKKURI, M. VERMEER: Integrated 3D adjustment of the SW Finland test net with the FAF-Munich Opera 2.3 software. XIX Gen. Assembly of the IUGG, Vancouver. (1987).
W. HEISKANEN, H. MORITZ: Physical Geodesy. W.H. Freeman and Company, San Francisco. (1967).
H. LANDAU, G.W. HEIN, B. EISSFELLER: A stepwise approach for the integrated geodesy adjustment model. (1988).
W.D. MacMILLAN: The Theory of the Potential. Dover Publications Inc., New York. (1958).
H. MORITZ: Advanced Least Squares Methods. Rep. No. 175, Dept. of Geodetic Sciences, The Ohio State University, Columbus. (1972).
H. MORITZ: Advanced Physical Geodesy. H. Wichmann Verlag-Abacus Press, Karlsruhe-Timbridge Wells Kent. (1980).
H. SÜNKEL: Manual of the general surface representation module designed for Geodesy (GSPP). OSU Internal Report of Dept. of Geodetic Science. (1980).
C.C. TSCHERNING, R.H. RAPP: Closed Covariance Expressions for Gravity Anomalies, Geoid Undulation and Deflections of the Vertical Implied by Anomaly Degree Variance Models. OSU Report of the Dept. of Geodetic Science, No. 208. (1974).
C.C. TSCHERNING: Local Approximation of the gravity potential by least-squares collocation. In K.P. Schwarz (Ed.) Proceedings Local Gravity Field Approximation, Beijing, China, Aug. 21–Sept. 4, 1984, Calgary. (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Barzaghi, R., Benciolini, B., Betti, B. et al. A numerical experiment of integrated geodesy. Bull. Geodesique 64, 259–282 (1990). https://doi.org/10.1007/BF02519180
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02519180