Physical Heights Determination Using Modified Second Boundary Value Problem

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


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.


Physical heights GNSS and gravity measurements Modified second boundary value problem 



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.


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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

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

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