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Bulletin géodésique

, 66:355 | Cite as

Theory of the local scale parameter method for EDM

  • F. K. Brunner
  • J. M. Rüeger
Article

Abstract

The determination of a representative refractive index for the wave path is the main limitation of the attainable accuracy in electronic distance measurement. To overcome this limitation the length ratio method was initially proposed and later developed into the local scale parameter (LSP) method. In this paper, the mathematical model of the LSP method is derived for electro-optical distance measurement from first principles based on the physics of the atmospheric boundary layer. The model does not rely on ‘standard atmospheres’. It is shown that atmospheric temperatures and pressures must be observed at instrument stations but not at reflector stations. Appropriate LSP field procedures and the results of some field experiments are summarized. The method consistently produces accuracies of better than ±1 ppm. Use of the method is recommended for high precision (trilateration) networks, which need to be measured repeatedly and where absolute scale is not relevant.

Keywords

Atmospheric Boundary Layer Adiabatic Condition Atmospheric Surface Layer Instrument Station Velocity Correction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Angus-Leppan P V (1979) Network Adjustment by the Ratio Method and its Meteorological Basis. Aust. J Geod Photogram Surv, 31: 15–26Google Scholar
  2. Brunner F K (1983) Modelling of Atmospheric Effects on Geodetic Observations. Abstracts, XIIIth General Assembly of IAG, Hamburg, Germany.Google Scholar
  3. Brunner F K (1984) Modelling of Atmospheric Effects on Terrestrial Geodetic Measurements. In: Brunner, F K (ed.), Geodetic Refraction Springer, Berlin-Heidelberg-New York, pp 143–162Google Scholar
  4. Brunner F K, Fraser C S (1977) An Atmospheric Turbulent Transfer Model for EDM Reduction. Proc Int Symp on Electronic Distance Measurement and the Influence of Atmospheric Refraction, Wageningen, The Netherlands, 1977, pp 304–315Google Scholar
  5. Cooper M A R (1987) Control Surveys in Civil Engineering. Collins, LondonGoogle Scholar
  6. Dutton J A (1986) The Ceaseless Wind. Dover Publ.Google Scholar
  7. Owens J C (1967) Optical Refractive Index of Air: Dependence on Pressure, Temperature and Composition. Applied Optics, 6: 51–59CrossRefGoogle Scholar
  8. Rüeger J M (1990) Electronic Distance Measurement — An Introduction, 3rd ed., Springer, Berlin-Heidelberg-New YorkGoogle Scholar
  9. Rüeger J M, Dupraz H (1992) Anwendung der Methode der lokalen Maßstabsparameter im Testnetz Turtmann. In: Proc XI. Internationaler Kurs für Ingenieurvermessung, Dümmler Verlag, pp I 9/1-I 9/14Google Scholar
  10. Rüeger J M, Brunner F K, Becek K (1989) EDM Monitoring Surveys using a Local Scale Parameter Model. In: Proc Symp on Surveillance and Monitoring Surveys, Dept of Surveying and Land Information, University of Melbourne, Australia, pp 183–194Google Scholar
  11. Vincenty T (1979) Methods of Adjusting Relative Lateration Networks. Survey Review, 25 (193): 103–117Google Scholar
  12. White L A (1973) Least Squares Model for Differential Scale Factor Adjustment. Survey Review, 22 (169): 115–124Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • F. K. Brunner
    • 1
  • J. M. Rüeger
    • 1
  1. 1.School of SurveyingUniversity of New South WalesSydneyAustralia

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