Abstract
Historically in geodesy, the conventional analysis of satellite networks has been carried out in three distinct steps. First, satellite orbits are computed from observations at some ground tracking stations whose coordinates are precisely known. Second, these computed orbits are taken for granted or slightly relaxed and used for the computation of the coordinates of other ground stations which have carried out additional observations to the same satellites. Third, this process is repeated as more observations become available.
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References
Aardoom, L. (1970) Geometry from Simultaneous Satellite Ranging, Tellus, Vol. XXII, No. 5, 572–580.
Aardoom, L. (1971) Geometric Accuracy Obtainable from Simultaneous Range Measurements to Satellites, in The Use of Artificial Satellites for Geodesy, S.W. Henriksen, A. Mancini and B.H. Chovitz (Editors), Geophysical Monograph Series, Vol. 15, American Geophysical Union, Washington, D.C., 9–18.
Arur, M.G. (1977) Experiments for Improved Positioning by Means of Integrated Doppler Satellite Observations and the NNSS Broadcast Ephemerides, Report No. 258, Department of Geodetic Science, The Ohio State University, Columbus, Ohio.
Bjerhammar, A. (1973) Theory of Errors and Generalized Matrix inverses. Eisevier Scientific Publishing Company, Amsterdam, Netherlands.
Blaha, G. (1971a) Inner Adjustment Constraints with Emphasis on Range Observations, Report No. 148, Department of Geodetic Science, The Ohio State University, Columbus, Ohio.
Blaha, G. (1971b) Investigations of Critical Configurations for Fundamental Range Networks, Report No. 150, Department of Geodetic Science, The Ohio State University, Columbus, Ohio.
Bossler, J.D., C.C. Goad and P.L. Bender (1980) - Using the Global Positioning System for geodetic positioning, Bull. Geod 54, pp. 553–563.
Brown, D.C. and J.E. Trotter (1969). SAGA, A Computer Program for Short Arc Geodetic Adjustment of Satellite Observations, AFCRL-69–0080, Air Force Cambridge Research Laboratories, Bedford, Massachussetts.
Councelman, C.C., R.J. Cappallo, S.A. Gourevitch, R.L. Greenspan, T.A. Herring, R.W. King, A.E.E. Rogers, I.I. Shapiro, R.E. Snyder, D.H. Steinbrecker, and A.R. Whitney (1982) Accuracy of relative positioning by interferometry with GPS: double-blind test results, Proc. of the 3rd Inter. Geod. Symp. on Satellite Doppler Positioning, Las Cruces, N.M., pp. 1173–1176.
Davidsonf D., D. Delikaraoglou, R. Langley, B. Nickerson, P. Vanicek and D.E. Wells, (1983). Global Positioning System Differential Positioning Simulations. Dept. of Surveying Engineering Technical Report 90, University of New Brunswick, Fredericton.
Goad, G. and B.W. Ramondi (1983). Initial relative positioning results using Global Positioning System, paper presented at the IUGG XVII General Assembly, Hamburg.
Grafarend, E. and K. Heinz (1978). Rank Defect Analysis of Satellite Geodetic Networks II, Dynamic Mode, Manuscripta Geodetica.
Grafarend, E., A. Kleusberg, H. Kremers, F. Massmann, (1982). The processing of satellite Doppler observations in the free network mode, Allgemeine Vermessungs-Nachrichten (AVN) 89 (1982), pp. 286–296.
Grafarend, E., A. Kleusberg and F. Massman, (1983). An improvement of the free satellite Doppler network adjustment, IUGG XVIII General Assembly, Hamburg.
Grafarend, E., A. Kleusberg, B. Richter, (1979). Free Doppler network adjustment, Proc. 2nd Intern. Geod. Symp. on Satellite Doppler Positioning, Austin 1979, pp. 1053–1069.
Grafarend, E., A. Kleusberg and B. Schaffrin (1980). An introduction to the variance-covariance-component estimation of Helmert type, Z 105, pp. 161–180.
Grafarend, E. and E. Livieratos, (1978). Rank Defect Analyses of Satellite Geodetic Networks I, Geometric and Semi-Dynamic Mode, Manuscripta Geodetica.
Kaula, W.M (1966). Theory of Satellite Geodesy, Blaisdell Publ. Co., Toronto.
Langley, R., G. Beutler, D. Delikaraoglou, B.G. Nickerson, R. Santerre P. Vanicek and D.E. Wells, 1984. Studies in the application of the Global Positioning System to differential positioning, Final Contract Report OSU82–00370 to the Geodetic Survey of Canada, Ottawa.
Meissl, P., (1969). Zusammenfassung und Ausbau der inneren Fehiertheorie eines Punkthaufens, in “Beiträge zur Theorie des geodätischen Netze im Raum”, by K. Rinner, K. Killian and P. Meissl, Deutsche Geodätische Kommission, Reihe A, No. 61.
Pelzer, H. (1974). Zur Behandlung singulärer Ausgleichungsaufgaben, ZFV. 99, pp. 181–194, 479–488.
Rinner, K., (1966). Systematic Investigations of Geodetic Networks in Space, U.S. Army Research and Development Group (Europe).
Spilker, J.J. (1978). GPS signal structure and performance characteristics, Navigation, 25, pp. 121–146.
Tsimis, E., (1973). Critical configurations for range and range-difference satellite networks, Report 191, Department of Geodetic Science, The Ohio State University, Columbus, Ohio.
Van Gelder, B.H.W. (1973). Estimability and simple dynamical analyses of range (range-rate and range-difference) observations to artifical satellites, Report 284, Department of Geodetic Science, The Ohio State University, Columbus, Ohio.
Vanicek, P. and E.J. Krakiwsky, (1982). Geodesy: The Concepts, North-Holland Publ. Co., Amsterdam.
Veis, G., (1960). Geodetic uses of artificial satellites, Smithsonian contributions to Astopgyysis, Vol. 3 (9)
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Delikaraoglou, D. (1985). Estimability Analyses of the Free Networks of Differential Range Observations to GPS Satellites. In: Grafarend, E.W., Sansò, F. (eds) Optimization and Design of Geodetic Networks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70659-2_10
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DOI: https://doi.org/10.1007/978-3-642-70659-2_10
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