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Solutions to the direct and inverse navigation problems on the great ellipse
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Geoinformatics.
2012 (English)In: Journal of Geodetic Science, ISSN 2081-9919, E-ISSN 2081-9943, Vol. 2, no 3, 200-205 p.Article in journal (Refereed) Published
Abstract [en]

The Great Ellipse (GE) is the curve of intersection between the surface and a plane through the center of an ellipsoid. For arcs within a few thousands of kilometres it agrees within a few metres with the geodesic. As the direct and indirect navigation problems for the GE can be solved almost entirely by closed formulas (in contrast to the corresponding geodetic problems of the geodesic), navigation on the GE is mostly preferred. Here we take advantage of the Clairaut constant on the GE in solving the navigation problems.

Place, publisher, year, edition, pages
2012. Vol. 2, no 3, 200-205 p.
Keyword [en]
Clairaut constant, ellipsoid, geodesic, great ellipse
National Category
Other Engineering and Technologies not elsewhere specified
URN: urn:nbn:se:kth:diva-166625DOI: 10.2478/v10156-011-0040-9OAI: diva2:811640

QC 20150513

Available from: 2015-05-12 Created: 2015-05-12 Last updated: 2015-05-13Bibliographically approved

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Sjöberg, Lars E.
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