GeodesicLineExact.cpp File Reference

Implementation for GeographicLib::GeodesicLineExact class. More...

#include <GeographicLib/GeodesicLineExact.hpp>

Go to the source code of this file.

Namespaces
namespace	GeographicLib
	Namespace for GeographicLib.

Detailed Description

Implementation for GeographicLib::GeodesicLineExact class.

Copyright (c) Charles Karney (2012-2022) 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 GeodesicLineExact.cpp.