Skip to main content

A Global Geoid Computation by a Solution of the Bipotential Equation

  • Conference paper
Determination of the Geoid

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 106))

  • 239 Accesses

Abstract

Several authors (e.g. Zhouwen Zhu 1987) have proposed solving the bipotential equation in order to determine the disturbing potential in the interior of the earth. The boundary value problem with given disturbing potential values and given radial derivatives on a known topography is considered; it is solved by means of an expansion of the disturbing potential in global base functions (spherical harmonics).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • E. Almansi (1897): Sull integrazione dell equazione differentiale Δ2n.Annali di matematia pura et applicata, series III 2, (1897) 1–51.

    Google Scholar 

  • G. Balmino(1978): On the Product of Legendre Functions as encounted in Geodynamics. Studia geoph. et. geod. 22, (1978), 107–118.

    Article  Google Scholar 

  • A. Dziewonski, D. Anderson (1981) Phys. Earth Planet. Inter. 25 (1981) 297–356

    Google Scholar 

  • J.A. Gaunt (1929): The Triplets of Helium. Phil. Trans. R. Soc., London A228, 151–196

    Google Scholar 

  • E. Grafarend (1989): The Geoid and the Gravimetric Boundary Value Problem. The Royal Institute of Technology— Stockholm TRITA GEODseries, Report No 18, 1989.

    Google Scholar 

  • G. Racah (1942): Theory of Complex Spectra I, II. Phys. Rev. 61 (1942), 186–197, 62, 438–462.

    Google Scholar 

  • F. Sanso, R. Barzaghi, C.C. Tscherning (1986): Choice of Norm for the Density Distribution of the Earth Geophys. J. R. astr.Soc. (1986) 87, 123–141.

    Google Scholar 

  • Z. Zhu (1987): Theory of unified representations of the Gravitational Field. Proceedings of the XIX General Assembly of IUGG, Vancouver, 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag New York Inc.

About this paper

Cite this paper

Engels, J. (1991). A Global Geoid Computation by a Solution of the Bipotential Equation. In: Rapp, R.H., Sansò, F. (eds) Determination of the Geoid. International Association of Geodesy Symposia, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3104-2_37

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-3104-2_37

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97470-5

  • Online ISBN: 978-1-4612-3104-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics