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A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path ...
English: A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v, are also depicted. Two antipodal points, u and v, are also depicted.
Great Circle Map Interactive tool for plotting great circle routes on a sphere. Great Circle Mapper Interactive tool for plotting great circle routes. Great Circle Calculator deriving (initial) course and distance between two points. Great Circle Distance Graphical tool for drawing great circles over maps. Also shows distance and azimuth in a ...
English: A diagram illustrating great-circle distance (drawn in cyan) and the straight-line distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v, are also depicted.
A diagram illustrating the great-circle distance (in cyan) and the straight-line distance (in red) between two points P and Q on a sphere. To see the utility of different notions of distance, consider the surface of the Earth as a set of points.
Its arc length is the great-circle distance between the points (the intrinsic distance on a sphere), and is proportional to the measure of the central angle formed by the two points and the center of the sphere. A great circle is the largest circle that can be drawn on any given sphere. Any diameter of any great circle coincides with a diameter ...
The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes.Important in navigation, it is a special case of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles.
For a spherical Earth, it is a segment of a great circle (see also great-circle distance). The term has since been generalized to more abstract mathematical spaces; for example, in graph theory, one might consider a geodesic between two vertices/nodes of a graph.