Earth Section Paths

Charles P. Gilbertson

3 citations0/0 files storedNAVIGATION Journal of the Institute of Navigation

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Historical Geography and Cartography Mathematics and Applications Geodetic Measurements and Engineering Structures

Abstract

The shortest path between two points on a surface are called geodesics. Geodesics on oblate spheroids are rather complex curves described by differential geometry. While these Geodesics have non-zero torsion, there are plane curves that are good approximations for guidance purposes in aviation and sailing. This paper offers a unified approach to Earth section paths, offering good approximate solutions to both the direct and indirect problems of geodesy. Common examples of Earth section paths include normal sections and great ellipses. Copyright © 2012 Institute of Navigation.

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References

1985THE ACCURACY OF GEODETIC LATITUDE AND HEIGHT EQUATIONS 1991Geometric Geodesy Part I 2001‘A Vector Solution for Navigation on a Great Ellipse’2000A Vector Solution for Navigation on a Great Ellipse 1984The direct and inverse solutions for the great elliptic line on the reference ellipsoid 2010NAVIGATION ON A GREAT ELLIPSE

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