Algorithms for geodesics

Karney, Charles F. F.

doi:10.1007/s00190-012-0578-z

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Published: 26 June 2012

Algorithms for geodesics

Charles F. F. Karney¹

Journal of Geodesy volume 87, pages 43–55 (2013)Cite this article

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Abstract

Algorithms for the computation of geodesics on an ellipsoid of revolution are given. These provide accurate, robust, and fast solutions to the direct and inverse geodesic problems and they allow differential and integral properties of geodesics to be computed.

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Acknowledgments

I would like to thank Rod Deakin, John Nolton, Peter Osborne, and the referees of this paper for their helpful comments.

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SRI International, 201 Washington Rd, Princeton, NJ, 08543-5300, USA
Charles F. F. Karney

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Charles F. F. Karney
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Correspondence to Charles F. F. Karney.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Karney, C.F.F. Algorithms for geodesics. J Geod 87, 43–55 (2013). https://doi.org/10.1007/s00190-012-0578-z

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Received: 21 September 2011
Accepted: 30 May 2012
Published: 26 June 2012
Issue Date: January 2013
DOI: https://doi.org/10.1007/s00190-012-0578-z

Keywords

Geometrical geodesy
Geodesics
Polygonal areas
Gnomonic projection
Numerical methods