Bulletin Géodésique (1946-1975)

, Volume 75, Issue 1, pp 69–89 | Cite as

General non-iterative solution of the inverse and direct geodetic problems

  • E. M. Sodano


Improved practical and theoretical formulas are presented for the calculation of geodetic distances, azimuths, and positions on a spheroid. The formulas are designed for use with either electronic computers or desk calculators. For the latter, the formulas lend themselves to the construction of useful interpolation tables.

The report includes convenient computation forms and auxiliary equations which assure a high degree of accuracy for any geodetic line, no matter how short or long (up to half or fully around the earth) and regardless of its orientation or location. Numerical examples illustrate the complete calculation procedure.


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  1. [1]
    E.M. SODANO: «A Rigorous Non-Iterative Procedure for Rapid Inverse Solution of Very Long Geodesics,»Bulletin Géodésique, Issues 47/48, 1958, pp. 13 to 25.CrossRefGoogle Scholar
  2. [2]
    H. BODEMÜLLER:Beitrag zur Lösung der zweiten geodätischen Hauptaufgabe für lange Linien nach den direkten Verfahren von E. Sodano und H. Moritz sowie nach dem sog. Einschwenkverfahren, Braunschweig, im Juni 1960.Google Scholar

Copyright information

© Springer-Verlag 1965

Authors and Affiliations

  • E. M. Sodano
    • 1
  1. 1.U.S. Army Engineer (G.I.M.R.A.D.A.)Fort Belvoir

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