New Solutions to Classical Geodetic Problems on the Ellipsoid

  • Lars E Sjöberg
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 133)

Abstract

New solutions are provided to the direct and indirect geodetic problems on the ellipsoid. In addition, the area under the geodesic and the problem of intersection of geodesics are treated.

Each solution is composed of a strict solution for the sphere plus a small correction to account for the eccentricity of the ellipsoid. The correction is conveniently determined by numerical integration.

Keywords

Direct geodetic problem Indirect geodetic problem Geodesic ellipsoid Area determination Intersection 
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References

  1. Baeschlin CF (1948) Lehrbuch der Geodäsie. Orell Fuessli Verlag, ZuerichGoogle Scholar
  2. Heck B (2003) Rechenverfahren und Auswertemodelle der Landesvermessung. H Wichmann Verlag, Karlsruhe, GermanyGoogle Scholar
  3. Heitz S (1988) Coordinates in geodesy. Springer, Berlin Heidelberg New YorkGoogle Scholar
  4. Kneissl M (1958) Handbuch der Vermessungskunde, Band IV, JB Metzlersche Verlagsbuchhandlung, StuttgartGoogle Scholar
  5. Schmidt H (1999) Lösung der geodätischen Hauptaufgaben auf dem Rotationsellipsoid mittels numerischer Integration. ZfV124: 121–128Google Scholar
  6. Schmidt H (2006) Note on Lars E. Sjöberg: New solutions to the direct and indirect geodetic problems on the ellipsoid (ZfV 1/2006, pp. 35–39). ZfV 131: 153–154Google Scholar
  7. Sjöberg LE (2002) Intersections on the sphere and ellipsoid. J Geod 76: 115–120CrossRefGoogle Scholar
  8. Sjöberg LE (2006a) Determination of areas on the plane, sphere and ellipsoid. Surv Rev 38: 583–593Google Scholar
  9. Sjöberg LE (2006b) Direct and indirect geodetic problems on the ellipsoid. ZfV 131: 35–39Google Scholar
  10. Sjöberg LE (2006c) Comment to H Schmidt’s Remarks to Sjöberg, (ZfV 1/2006, pp. 35–39). ZfV 131:155Google Scholar
  11. Sjöberg LE (2007a) Precise determination of the Clairaut constant in ellipsoidal geodesy. Surv Rev 39: 81–86CrossRefGoogle Scholar
  12. Sjöberg LE (2007b) Geodetic Intersection on the Ellipsoid. (To appear in J Geod)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Lars E Sjöberg
    • 1
  1. 1.Royal Institute of TechnologyDivision of Geodesy, SE-100 44Stockholm

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