Skip to main content
Log in

Accuracy analysis of vertical deflection data observed with the Hannover Digital Zenith Camera System TZK2-D

  • Original Article
  • Published:
Journal of Geodesy Aims and scope Submit manuscript

Abstract

This paper analyses the accuracy of vertical deflection measurements carried out with the Digital Zenith Camera System TZK2-D, an astrogeodetic state-of-the-art instrumentation developed at the University of Hannover. During 107 nights over a period of 3.5 years, the system was used for repeated vertical deflection observations at a selected station in Hannover. The acquired data set consists of about 27,300 single measurements and covers 276 h of observation time, respectively. For the data collected at an earlier stage of development (2003 to 2004), the accuracy of the nightly mean values has been found to be about 0′′.10−0′′.12. Due to applying a refined observation strategy since 2005, the accuracy of the vertical deflection measurements was enhanced into the unprecedented range of 0′′.05 − 0′′.08. Accessing the accuracy level of 0′′.05 requires usually 1 h of observational data, while the 0′′.08 accuracy level is attained after 20 min measurement time. In comparison to the analogue era of geodetic astronomy, the accuracy of vertical deflection observations is significantly improved by about one order of magnitude.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brockmann E, Becker M, Bürki B, Gurtner W, Haefele P, Hirt C, Marti U, Müller A, Richard P, Schlatter A, Schneider D, Wiget A (2004) Realization of a Swiss Combined Geodetic Network (CH-CGN). EUREF’04 Symposium of the IAG Commission 1—Reference Frames, Subcommission 1-3a Europe (EUREF), Bratislava

  2. Bürki B (1989) Integrale Schwerefeldbestimmung in der Ivrea-Zone und deren geophysikalische Interpretation. Geodätisch-geophysikalische Arbeiten in der Schweiz, Nr. 40. Schweizerische Geodätische Kommission

  3. Bürki B, Müller A, Kahle H-G (2004) DIADEM: the new digital astronomical deflection measuring system for high-precision measurements of deflections of the vertical at ETH Zurich. Electronic Proc. IAG GGSM2004 Meeting in Porto, Portugal. Published also in: CHGeoid 2003, Report 03-33 A (ed. U. Marti et al.), Bundesamt für Landestopographie (swisstopo), Wabern, Schweiz

  4. Heiskanen WA and Moritz H (1967). Physical geodesy. W.H. Freeman, San Francisco

    Google Scholar 

  5. Hirt C (2001) Automatic determination of vertical deflections in real-time by combining GPS and digital zenith camera for solving the GPS-height-problem. In: Proceeding 14th international technical meeting of the satellite division of the institute of navigation, Alexandria, pp 2540–2551

  6. Hirt C (2004) Entwicklung und Erprobung eines digitalen Zenitkamerasystems für die hochpräzise Lotabweichungsbestimmung. Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik an der Universität Hannover Nr. 253. URL:http://edok01.tib.uni-hannover.de/edoks/e01dh04/393223965.pdf

  7. Hirt C (2006). Monitoring and analysis of anomalous refraction using a digital zenith camera system. Astron Astrophy 459: 283–290 doi:10.1051/0004-6361:20065485

    Article  Google Scholar 

  8. Hirt C, Bürki B (2002) The digital zenith camera—a new high-precision and economic astrogeodetic observation system for real-time measurement of deflections of the vertical. In: Tziavos I (ed) Proceeding of the 3rd meeting of the international gravity and geoid commission of the international association of geodesy, Thessaloniki, pp 161–166

  9. Hirt C, Flury J (2007) Astronomical-topographic levelling using high-precision astrogeodetic vertical deflections and digital terrain model data. J Geod doi:10.1007/s00190-007-0173

  10. Hirt C, Seeber G (2006) High-resolution local gravity field determination at the sub-millimeter level using a digital zenith camera system. In: Tregoning P, Rizos C (ed) Dynamic Planet, Cairns 2005 IAG Symposia 130:316–321

  11. Hirt C, Reese B, Enslin H (2004) On the accuracy of vertical deflection measurements using the high-precision digital zenith camera system TZK2-D. In: Jekeli C et al (ed) GGSM 2004 IAG international symposium porto, Portugal, Springer, Heidelberg, pp 197–201

  12. Hirt C, Denker H, Flury J, Lindau A, Seeber G (2006) Astrogeodetic validation of gravimetric quasigeoid models in the German Alps—first results. Accepted Paper presented at 1. Meeting of the International Gravity Field Service, Istanbul

  13. Høg E, Fabricius C, Makarov VV, Urban S, Corbin T, Wycoff G, Bastian U, Schwekendiek P and Wicenec A (2000). The Tycho-2 catalogue of the 2.5 million brightest stars. Astron Astrophy 355: L27–L30

    Google Scholar 

  14. Höpcke W (1980). Fehlerlehre und Ausgleichsrechnung. W. de Gruyter, Berlin, New York

    Google Scholar 

  15. Kovalevsky J (1998) Environmental disturbances of astronomical observations. In: Isobe S, Hirayama T. (ed) Astronomical Society of the Pacific (ASP) Conference Series 139:89–96

  16. Marti U (1997) Geoid der Schweiz 1997. Geodätisch-geophysikalische Arbeiten in der Schweiz Nr. 56. Schweizerische Geodätische Kommission

  17. Müller A, Bürki B, Kahle H-G, Hirt C, Marti U (2004) First results from new high-precision measurements of deflections of the vertical in Switzerland. In: Jekeli C et al (ed) GGSM 2004 IAG International Symposium Porto, Portugal, Springer, Heidelberg, pp 143–148

  18. Müller A, Bürki B, Limpach P, Kahle H-G, Grigoriadis VN, Vergos~GS, Tziavos IN (2006) Validation of marine geoid models in the North Aegean Sea using satellite altimetry, marine GPS data and astrogeodetic measurements. Paper presented at 1. Meeting of the International Gravity Field Service, Istanbul

  19. Ramsayer K (1970). Handbuch der Vermessungskunde Band IIa—Geodätische Astronomie. Metzlersche Verlagsbuchhandlung, Stuttgart

    Google Scholar 

  20. Torge W (2001). Geodesy, 3rd edn. W. de Gruyter, Berlin

    Google Scholar 

  21. Wissel H (1982) Zur Leistungsfähigkeit von transportablen Zenitkameras bei der Lotabweichungsbestimmung. Wissen. Arb. Fach. Vermessungswesen Univ. Hannover Nr. 107

  22. Zacharias N, Zacharias MI, Urban SE and Høg E (2000). Comparing Tycho-2 astrometry with UCAC1. Astron J 120: 1148–1152

    Article  Google Scholar 

  23. Zacharias N, Urban SE, Zacharias MI, Wycoff GL, Hall DM, Monet DG and Rafferty TJ (2004). The Second US Naval Observatory CCD Astrograph Catalog (UCAC2). Astron J 127: 3043–3059

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christian Hirt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hirt, C., Seeber, G. Accuracy analysis of vertical deflection data observed with the Hannover Digital Zenith Camera System TZK2-D. J Geod 82, 347–356 (2008). https://doi.org/10.1007/s00190-007-0184-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00190-007-0184-7

Keywords

Navigation