GeographicLib 2.1.2
GeodesicLine.cpp File Reference

Implementation for GeographicLib::GeodesicLine class. More...

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Namespaces

namespace  GeographicLib
 Namespace for GeographicLib.
 

Detailed Description

Implementation for GeographicLib::GeodesicLine class.

Copyright (c) Charles Karney (2009-2022) charl.nosp@m.es@k.nosp@m.arney.nosp@m..com and licensed under the MIT/X11 License. For more information, see https://geographiclib.sourceforge.io/

This is a reformulation of the geodesic problem. The notation is as follows:

  • at a general point (no suffix or 1 or 2 as suffix)
    • phi = latitude
    • beta = latitude on auxiliary sphere
    • omega = longitude on auxiliary sphere
    • lambda = longitude
    • alpha = azimuth of great circle
    • sigma = arc length along great circle
    • s = distance
    • tau = scaled distance (= sigma at multiples of pi/2)
  • at northwards equator crossing
    • beta = phi = 0
    • omega = lambda = 0
    • alpha = alpha0
    • sigma = s = 0
  • a 12 suffix means a difference, e.g., s12 = s2 - s1.
  • s and c prefixes mean sin and cos

Definition in file GeodesicLine.cpp.