Journal of Geodesy

, Volume 73, Issue 12, pp 648–659 | Cite as

Numerical modeling of gravitational field lines – the effect of mass attraction on horizontal coordinates

  • G. Papp
  • J. Benedek
Article

Abstract.

There are two basic types of geodetic projections by which the points located on the Earth's surface can be projected onto a reference ellipsoid. Because of the different principles of Helmert's and Pizzetti's methods two sets of horizontal and vertical coordinates are obtained for the same set of surface points. The difference is investigated in terms of offsets of horizontal coordinates. For an estimation of the offsets the field lines going through topographic masses are determined by three different numerical methods in `flat Earth approximation' using a volume element model of the density distribution of the lithosphere in a part of central Europe. The maximum horizontal offset reaches 20 cm on the investigated area at the level of the geoid.

Key words: Numerical modeling – Field lines – Volume density model 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • G. Papp
    • 1
  • J. Benedek
    • 1
  1. 1.Geodetic and Geophysical Research Institute, H-9401 Sopron, Pf. 5, Hungary e-mail: papp@ggki.hu; Tel.: +36 99 314 290; Fax: +36 99 313 267HU

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