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Physical Heights Determination Using Modified Second Boundary Value Problem

  • M. MojzesEmail author
  • M. Valko
Conference paper
  • 2k Downloads
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 135)

Abstract

The realization of the physical height system involves information related to a certain positioning system, a vertical datum, and a gravity reference system. The reference systems reflect the accuracy of a specified epoch characterized by the measurement techniques and by the adopted models of disrupting influences. If we use able to find a solution where the need for at least one reference system disappears, then the accuracy of the estimated function will naturally increase. In this paper, we would like to point out that it is possible to realize the physical heights based on the solution to the modified second geodetic boundary value problem, using only the Earth Gravity Model (EGM), the Global Navigation Satellite System (GNSS) and gravity measurements. The solution does not require any information about the local physical heights and it is therefore independent of a local vertical datum. The theoretical principle of such a solution and its practical application in Slovakia is presented.

Keywords

Physical heights GNSS and gravity measurements Modified second boundary value problem 

Notes

Acknowledgements

This study was funded by the Commission of Slovak Grant Agency, Registration number 1/0882/08. We gratefully thank to Commission of Slovak Grant Agency for financial supporting of the Project.

References

  1. Burša, M., J. Kouba, K. Raděj, S.A. True, V. Vatrt, and M. Vojtíšková (1998). Monitoring geoidal potential on the basis of TOPEX/POSEIDON altimeter data and EGM96. Presented at the 5th Common Seminar PfP. Torun, September, 21–23.Google Scholar
  2. Burša, M., J. Kouba, K. Raděj, V. Vatrt, and M. Vojtíšková (2000). Geopotential at tide guage stations usedf for specifying a Word Height System. In: The contributions of participants to the workshop “The way forward to come to an improved World Height System”. Geographic Service of the Czech Armed Foces. Prague, November 8–9.Google Scholar
  3. Denker, H. and W. Torge (1998). The European gravimetric quasigeoid EGG97. In: Proceedings of International Association of Geodesy Symposia “Geodesy in the Move”. Springer, Berlin, pp. 249–254.Google Scholar
  4. Heck, B. and R. Rummel (1989). Strategies for Solving the Vertical Datum Problem Using Terrestrial and Satelite Geodetic Data. In: Proceedings of International Association of Geodesy Symposia “Sea Surface Topography and the Geoid”. International Association of Geodesy Symposia 104. Springer-Verlag, New York.Google Scholar
  5. Hofmann-Wellenhof, B. and H. Moritz (2005). Physical geodesy. Springer, Wien, New York.Google Scholar
  6. Ihde, J. (2007). IAG In: Inter-Commission Project “Conventions for the Definition and Realization of a Conventional Vertical Refrence System”, Draft 3.0.Google Scholar
  7. Janák, J. and M. Šprlák (2006). A new software for gravity field modelling using spherical harmonics. Geodetický a kartografický obzor, 52(94), 1–8 (in Slovak).Google Scholar
  8. Klobušiak, M. and J. Pecár (2004). Model and algorithm of efective processing of gravity measurement realized with a group of both absolute and relative gravimeters. Geodetický a kartografický obzor, 50(92), 99–110 (in Slovak).Google Scholar
  9. Kouba, J. (2001). International GPS service (IGS) and world height system. Acta geodaetica 1/2001. Geographic Service of the Army of the Czech Republic.Google Scholar
  10. Lemoine, F.G., et al. (1998). The development of the joint NASA GSFC and the national imagery and mapping agency (NIMA) Geopotential Model EGM96 NASA/TP-1998-206861, 575 p. Goddard Space Flight Center, NASA Greenbelt Maryland 20771, USA.Google Scholar
  11. Mojzeš, M. (1997). Transformation of coordinate system by multiregresion polynomials. Kartografické listy, 5, 12–15 (in Slovak).Google Scholar
  12. Molodensky, M.S., V.F. Eremeev, and M.I. Yurkina (1962). Methods for study of the external gravity field and figure of the earth. Israel Program of Scientific Translations, Jerusalem (Russian original 1960).Google Scholar
  13. Rummel, R. (2000). Global unification of height systems and GOCE. In: International Association of Geodesy Symposia “Gravity, Geoid and Geodynamics 2000” 123. Springer-Verlag, New York, pp. 13–20.Google Scholar
  14. Vaľko, M., M. Mojzeš, J. Janák, and J. Papčo (2008). Comparison of two different solutions to Molodensky’s G1 term. Studia Geophysica et Geodaetica,52, 71–86.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of Theoretical GeodesySlovak University of Technology in BratislavaBratislavaSlovak Republic

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