GPS Alignment Surveys and Meridian Convergence
Publication: Journal of Surveying Engineering
Volume 126, Issue 3
Abstract
Since the advent of the Global Positioning System (GPS), geodetic azimuths can be accurately computed by simple implementation of well-known 3D concepts. However, when GPS alignment surveys involving azimuths are designed in advance, and later observed and reduced (e.g., during kinematic GPS work), corrections due to the convergence of the meridians should be kept in mind and not ignored. In this study a practical algorithm was used to compare accurately determined “meridian convergence” against the classical formalism available in standard textbooks. The typical approximate formulation available in the open literature was found adequate for GPS engineering surveys such as airport runway profiles, alignment of power lines or conveyor belts, stake positioning in highway construction, etc. A practical GPS survey was used to corroborate the results. Finally, a new 3D alternative to computing meridian convergence, which is equivalent to the rigorous formalism, is presented.
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References
1.
Bowring, B. R. (1985). “The accuracy of geodetic latitude and height equations.” Survey Rev., 28(October), 202–206.
2.
Burkholder, E. F. (1997). “Three-dimensional azimuth of a GPS vector.”J. Surv. Engrg., ASCE, 123(4), 139–146.
3.
Formulas and tables for the computation of geodetic positions. (1933). U.S. Coast and Geodetic Survey Spec. Publ. No. 8. U.S. Government Printing Office, Washington, D.C.
4.
Geodetic glossary. (1986). National Geodetic Survey, Silver Spring, Md.
5.
Heiskanen, W. A., and Moritz, H. (1967). Physical geodesy, W. H. Freeman and Co., San Francisco; Reprinted (1981), Inst. of Phys. Geodesy, Technical University, Graz, Austria.
6.
Moritz, H. (1992). “Geodetic reference system 1980.” Bull. Géodésique, 66(2), 187–192.
7.
Soler, T. (1976). “On differential transformations between Cartesian and curvilinear (geodetic) coordinates.” Rep. No. 236, Dept. of Geod. Sci., Ohio State University, Columbus, Ohio.
8.
Soler, T., Carlson, A. E., Jr. and Evans, A. G. (1989). “Determination of vertical deflections using the global positioning system and geodetic leveling.” Geophys. Res. Letter, 16(7), 695–698.
9.
Soler, T., and Eisemann, D. W. (1994). “Determination of look angles to geostationary communication satellites.”J. Surv. Engrg., ASCE, 120(3), 115–127.
10.
Soler, T., and Hothem, L. D. (1988). “Coordinate systems used in geodesy: Basic definitions and concepts.”J. Surv. Engrg., ASCE, 114(2), 84–97.
11.
Soler, T., and Hothem, L. D. (1989). “Important parameters used in geodetic transformations.”J. Surv. Engrg., ASCE, 115(4), 414–417.
12.
Zakatov, P. S. (1962). A course in higher geodesy, National Technical Information Service, U.S. Department of Commerce, Washington, D.C. (translated from Russian).
Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 126 • Issue 3 • August 2000
Pages: 69 - 82
History
Received: Jun 28, 1999
Published online: Aug 1, 2000
Published in print: Aug 2000
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