Reducing the impact of a vertical refraction by a two-regime model

Lipták, M.; Sokol, Š.

doi:10.2478/v10189-011-0009-9

Abstract

This paper deals with the creation of a mathematical model to eliminate or reduce the impact of a vertical refraction from the results of repeated trigonometric measurements of elevations. A multiple regression model with air temperature and pressure as the explanatory variables is proposed and subsequently modified into the form of a two-regime model. The threshold parameter is given by the threshold function, which represents an approximation of the relationship between the atmospheric pressure and temperature. An investigation of the quality of the proposed models and the application of the selected model on the experimental measurement results is also performed.

References

Binnenbruck, B., Deußen, D., Witte, B.: The Influence of Geodetic Refraction and Its Determination Using a Digital Camera. In: INGEO 2002: Proceedings of the 2nd International Conference on Engineering Surveying. [CD-ROM]. Bratislava: Department of Surveying FCE SUT, 2002, pp. 25-36, ISBN 80-227-1792-4.
Search in Google Scholar
Böckem, B.: Development of a Dispersometer for the Implementation into Geodetic High-Accuracy Direction Measurement Systems. Zürrich: Institut fűr Geodäsie und Photogrammetrie ETH Zürrich, 2001, 140 pp., ISBN 3-906467-33-3.
Search in Google Scholar
Brunner, F.K.: Vertical Refraction Angle Derived from the Variance of the Angle-of-Arrival Fluctuations. In: Refractional Influences in Astrometry and Geodesy: Proceedings from IAU Symposium no. 89. [online]. 1979, [cit. 2009-11-20]. Available at: http://adsabs.harvard.edu/full/1979IAUS…89.227B10.1007/978-94-010-9740-6_23
Search in Google Scholar
Flach, P.: Analysis of Refraction Influences in Geodesy Using Image Processing and Turbulence Models. [online]. Zürrich: Institut fűr Geodäsie und Photogrammetrie ETH Zürrich, 2000, [cit. 2009-11-20]. Available at: http://www.geomethdata.ethz.ch/downloads/dissflach.pdf http://www.geomethdata.ethz.ch/downloads/dissflach.pdf
Search in Google Scholar
Gašinec, J., Gašincová, S.: Odhad vertikálnej zložky refrakcie z družicových a terestrických geodetických meraní (Estimation Vertical Components of Refraction from Terrestrial and Satellite Geodetic Measuring). In: Acta Montanistica Slovaca, 2009, Vol. 14, special issue 1, pp. 47-53, ISSN 1335-1788 (in Slovak).
Search in Google Scholar
Hradilek, L.: Vysokohorská geodézie (High Mountain Surveying). Prague: Academia, 1984, 230 pp. (in Czech).
Search in Google Scholar
Ingensand, H.: Concepts and Solutions to Overcome the Refraction Problem in Terrestrial Precision Measurements. In: FIG XXII International Congress. [online], 2002, [cit. 2009-11-20]. Available at: http://fig.net/pub/fig_2002/Js28/JS28_ingensand.pdf http://fig.net/pub/fig_2002/Js28/JS28_ingensand.pdf
Search in Google Scholar
Kubáčková, L.: Metódy spracovania experimentálnych údajov (Methods of Experimental Data Processing). Bratislava: VEDA, 1989, 328 pp. ISBN 80-224-0104-8. (in Slovak).
Search in Google Scholar
Lipták, M., Sokol, Š.: Analýza trigonometricky meraných prevýšení (Analysis of Trigonometrically Measured Elevations). In: Acta Montanistica Slovaca, 2009, Vol. 14, special issue 1, pp. 41-46, ISSN 1335-1788, (in Slovak).
Search in Google Scholar
STN 73 0404-1: Terminológia v geodézii a kartografii. Časť 1: Terminológia geodetických základov a inžinierskej geodézie (Terminology in Geodesy and Cartography. Part 1: Terminology of Geodetic Control and Engineering Surveying). Bratislava: SÚTN, 2009. pp. 7. (in Slovak).
Search in Google Scholar
Štempelová, M.: Tvorba metodiky trigonometrického určovania prevýšení s ohľadom na vplyv prostredia (Creation of the Methodology for the Trigonometric Determination of Elevations with respect to the Influence of Environment). [dissertation]. Bratislava: Department of Theoretical Geodesy FCE SUT, 1993, 79 pp.
Search in Google Scholar
Ramsayer, K.: The Accuracy of the Determination of the Terrestrial Refraction from Reciprocal Zenith Angles. In: Refractional Influences in Astrometry and Geodesy: Proceedings from IAU Symposium no. 89. [online], 1979, [cit. 2009-11-20]. Available at: http://adsabs.harvard.edu/full/1979IAUS…89.203R10.1007/978-94-010-9740-6_21
Search in Google Scholar
Weiss, A.: Determination of Thermal Stratification and Turbulence of the Atmospheric Surface Layer over Various Types of Terrain by Optical Scintillometry. [online]. Zürrich: Institut fűr Geodäsie und Photogrammetrie ETH Zürrich, 2000, [cit. 2009-11-20]. Available at: http://e-collection.ethbib.ethz.ch/eserv/eth:24659/eth-24659-02.pdf http://e-collection.ethbib.ethz.ch/eserv/eth:24659/eth-24659-02.pdf
Search in Google Scholar

Reducing the impact of a vertical refraction by a two-regime model

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