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Accurate Geoid Height Differences Computation from GNSS Data and Modern Astrogeodetic Observations

  • Conference paper
Gravity, Geoid and Height Systems

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 141))

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Abstract

This work presents the revival of the astrogeodetic observation procedure by means of modern instrumentation and processing. The determination of astronomical coordinates Φ, Λ and the components ξ and η of the deflection of the vertical is achieved with an accuracy that reaches ±0.01.

The used method brings to the fore the classical geodetic astronomy actually aided by modern technology. The system of NTUA is used [Lambrou (Development of a methodology for astrogeodetic determinations, using digital geodetic instruments. Ph.D. Thesis, 2003)]. This system consists of a first order total station connected with a GNSS receiver in order to register time with 1 ms.

The same method is applied by changing the instrumentation. An advanced “imaging” total station is used, providing a direct connection to the internet, to a world time server, in order to obtain the necessary accurate time information. This total station runs windows CE and moreover it allows carrying out the observations on a digital screen, as the telescope is not deemed essential anymore. The sightings may be also carried out remotely via a PC’s screen situated anywhere and connected to the internet.

Alternatively, in order to bypass the need of accurate time information, the Laplace equation can be used. Thus the determination of η is achieved. As a limitation, this procedure requires visibility between the points.

By using the corresponding geodetic coordinates φ, λ and azimuth, which are all provided by the GNSS measurements, the deflection of the vertical components (ξ and η) are computed. Thereinafter the geoid undulation differences ΔN are calculated, with few mm accuracy.

By following this procedure, the results are independent from the definition of the local height datum. For this reason, it can improve the global geoid models as it enriches their data in areas characterized by large geoid variations due to rough topography. Finally, this procedure could be used for the unification or the definition of a unified height datum, for a country.

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References

  • Baarda W (1968) A testing procedure for use in geodetic networks. New Series, vol 2, No 5. Netherlands Geodetic Commission, Delft

    Google Scholar 

  • Balodimos DD, Korakitis R, Lambrou E, Pantazis G (2003) Fast and accurate determination of astronomical coordinates Φ, Λ and Azimuth, using a total station and GPS receiver. Surv Rev 37(290):269–275

    Article  Google Scholar 

  • Bomford G (1971) Geodesy, 3rd edn. Oxford University Press/Clarendon, Oxford. ISBN 0198519192 9780198519195

    Google Scholar 

  • Ceylan A (2009) Determination of the deflection of vertical components, via GPS and leveling measurement: a case study of a GPS test network in Konya Turkey. Sci Res Essay 4(12):1438–1444

    Google Scholar 

  • Ceylan A, Inal C, Sanlioglu I (2005) Modern height determination techniques and comparison of accuracies. From Pharaohs to Geoinformatics FIG Working Week 2005 and GSDI-8 Cairo, Egypt

    Google Scholar 

  • ESA (1997) The Hipparcos and Tycho catalogues. ESA SP-1200, France

    Google Scholar 

  • Hirt C (2012) Anomalous atmospheric refraction and comments on “fast and accurate determination of astronomical coordinates …” (Balodimos et al. 2003, Survey Review 37(290):269–275). Surv Rev 44, 327. doi:10.1179/1752270612Y.0000000006

  • Hirt C, Flury J (2008) Astronomical-topographic levelling using high-precision astrogeodetic vertical deflections and digital terrain model data. J Geod 82:231–248

    Article  Google Scholar 

  • Hirt C, Reese B, Enslin H (2005) On the accuracy of vertical deflection measurements using the high-precision digital zenith camera system TZK2-D. Gravity, geoid and space missions. Int Assoc Geodes Symp 129(3):197–201. doi:10.1007/3-540-26932-0_34

    Article  Google Scholar 

  • Kakoliris D (2006) Software development for the best selection of stars’ pairs for meridian transit observations. Diploma thesis (In Greek), School of Rural and Surveying Engineers of NTUA

    Google Scholar 

  • Kotsakis C, Katsabalos K, Ampatzidis D, Gianniou M (2008) Evaluation of EGM08 using GPS and leveling heights in Greece. In: IAG international symposium gravity, geoid and earth observation 2008, Chania, Crete, Greece

    Google Scholar 

  • Lambrou E (2003) Development of a methodology for astrogeodetic determinations, using digital geodetic instruments. Ph.D. Thesis, School of Rural and Surveying Engineering, NTUA (In Greek)

    Google Scholar 

  • Lambrou E (2014) Remote survey. An alternative method for capturing data. J Surv Eng 140(1):60–64

    Article  Google Scholar 

  • Lambrou E, Pantazis G (2008) Astronomical azimuth determination by the hour angle of Polaris using ordinary total stations. Surv Rev 40(308):164–172

    Article  Google Scholar 

  • Lambrou E, Pantazis G, Balodimos DD (2003) Accurate determination of the geoidal undulation N. EGS–AGU–EUG Joint Assembly, Nice. Reports on Geodesy, Institute of Geodesy and Geodetic Astronomy, Warsaw University of Technology, vol 1 (64), pp. 165–172

    Google Scholar 

  • Mackie JB (1971) The elements of astronomy for surveyors, 7th edn. Charles Griffin, London

    Google Scholar 

  • Mueller I (1969) Spherical and practical astronomy as applied to geodesy. Frederick Ungar, New York, NY

    Google Scholar 

  • Panou G (2009) Astronomical latitude determination by using the autocalibration method. Diploma Thesis (In Greek), School of Rural and Surveying Engineers of NTUA

    Google Scholar 

  • Pavlis NK, Holmes SA, Kenyon SC and Factor JK (2008) An Earth gravitational model to degree 2160: EGM2008. In: Presented at the 2008 general assembly of the European geosciences union, Vienna, Austria

    Google Scholar 

  • Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2012) The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). J Geophys Res 117(B4), CiteID B04406. doi:10.1029/2011JB008916

  • Soycan M, Soycan A (2005) Geoid heights computation from GPS data and classical terrestrial zenith angle observations. From Pharaohs to Geoinformatics, FIG Working Week 2005 and GSDI-8 Cairo, Egypt

    Google Scholar 

  • Torge W (1980) Geodesy. Walter de Gruyter, Berlin. ISBN 3110170728

    Google Scholar 

  • Tsonakas N (2007) Metrological tests, analysis, development and evaluation of the capabilities of the imaging total station Topcon GPT – 7000i. Diploma Thesis (In Greek), School of Rural and Surveying Engineers of NTUA

    Google Scholar 

  • Tzoumaka V (2007) Hypsometric connection of the sea opening between Chios and Innouses islands (Aegean Sea) by using modern total stations. Diploma Thesis (In Greek), School of Rural and Surveying Engineers of NTUA

    Google Scholar 

  • Vondrak J, Machotka R, Podstavek J (2003) Testing of mathematical models for astronomical refraction elimination. Electronic Journal of Polish Agricultural Universities, Geodesy and Cartography 6(2). http://www.ejpau.media.pl

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Correspondence to Evangelia Lambrou .

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Lambrou, E. (2014). Accurate Geoid Height Differences Computation from GNSS Data and Modern Astrogeodetic Observations. In: Marti, U. (eds) Gravity, Geoid and Height Systems. International Association of Geodesy Symposia, vol 141. Springer, Cham. https://doi.org/10.1007/978-3-319-10837-7_21

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