An integral for geodesic length

Author: Rollins, Craig

Source: Survey Review, Volume 42, Number 315, January 2010 , pp. 20-26(7)

Publisher: Maney Publishing

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Abstract:

Using a change of variable suggested by P. D. Thomas (1952), the arclength of a segment of a geodesic curve on an ellipsoid becomes an integral having the same form as arclength on an ellipse, a simpler problem. This leads to a succinct theoretical solution to the Direct and Indirect Problems of geodesics. With modern mathematical software, it is also a practical solution.

Keywords: ELLIPSOID; ARC LENGTH; GEODESIC CURVE

Document Type: Research Article

DOI: http://dx.doi.org/10.1179/003962609X451663

Affiliations: National Geospatial-Intelligence Agency

Publication date: 2010-01-01

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