Skip to main content
SpringerLink
Log in

A consideration of Hayford's best fitting ellipsoid data using the differential change equations of Vening Meinesz

  • Published:
Geofisica pura e applicata Aims and scope Submit manuscript

Summary

The relations of the defining parameters of a geodetic system to the deflections of the vertical in this system given byVening Meinesz have been used in the computation of a best fitting ellipsoid. The data was that used byHayford in the computation of the resulting International Ellipsoid. Assuming the undulation (N 0) at Meades Ranch to be zero, the results are: a=6,378,194 m and l/f=299.9. This a is much nearer to modern values than that of the Internaitonal Ellipsoid. If a flattening of 1/298.24 is fixed andN 0=+3m,a=6,378,164 m which differs by one meter from a recent determination given byKaula.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Hayford J. F.:The figure of the earth and isostasy, from measurements in the United States. USCGS, 1909.

  • Hayford J. F.:Supplementary investigation in 1909 of the figiure of the earth and isostasy. USCGS, 1910.

  • Kaula W. M.:A geoid and world geodetic system based on a combination of gravimetric, astrogeodetic, and satellite data. J. Geophys. Research, 66, 1799–1811 (1961).

    Google Scholar 

  • O'Keefe J. A.:Zonal harmonics of the earth's gravitational field and the basic hypothesis of geodesy. J. Geophys. Research, 64, 2389–2392 (1959).

    Google Scholar 

  • Vening Meinesz F. A.:New formulas for systems of deflections of the plumb-line and Laplace's theorem. Bull. Geod., N. S., No. 15, 1950.

  • Vening Meinesz F. A.:Changes of deflections of the plumb-line brought about by a change of reference ellipsoid. Bull. Geod., N. S., No. 15 (1950).

Download references

Author information

Authors and Affiliations

  1. Department of Geodetic Science, The Ohio State University, Columbus 12, Ohio, USA

    Richard H. Rapp

Authors
  1. Richard H. Rapp
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rapp, R.H. A consideration of Hayford's best fitting ellipsoid data using the differential change equations of Vening Meinesz. Geofisica Pura e Applicata 54, 1–5 (1963). https://doi.org/10.1007/BF01988250

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01988250

Keywords

Search

Navigation