Journal of Geodesy

, Volume 74, Issue 7–8, pp 552–560 | Cite as

The gravitational potential and its derivatives for the prism

  • D. Nagy
  • G. Papp
  • J. Benedek

Abstract.

 As a simple building block, the right rectangular parallelepiped (prism) has an important role mostly in local gravity field modelling studies when the so called flat-Earth approximation is sufficient. Its primary (methodological) advantage follows from the simplicity of the rigorous and consistent analytical forms describing the different gravitation-related quantities. The analytical forms provide numerical values for these quantities which satisfy the functional connections existing between these quantities at the level of numerical precision applied. Closed expressions for the gravitational potential of the prism and its derivatives (up to the third order) are listed for easy reference.

Key words: Rectangular parallelepiped – Prism – Gravitational potential – Derivatives 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • D. Nagy
    • 1
  • G. Papp
    • 2
  • J. Benedek
    • 2
  1. 1.Geodetic Survey Division, Geomatics Canada, 615 Booth Street, Ottawa, Canada K1A 0E9, e-mail: nagy@nrcan.gc.caCA
  2. 2.Geodetic and Geophysical Research Institute of the Hungarian Academy of Sciences, POB 5, H-9401 Sopron, HungaryHU

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