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Computes the great circle distance between two points, specified by the latitude and longitude, using the haversine formula. Template parameters [Edit template data] Parameter Description Type Status Latitude 1 lat1 1 Latitude of point 1 in decimal degrees Default 0 Number required Longitude 1 long1 2 Longitude of point 1 in decimal degrees Default 0 Number required Latitude 2 lat2 3 Latitude ...
If a navigator begins at P 1 = (φ 1,λ 1) and plans to travel the great circle to a point at point P 2 = (φ 2,λ 2) (see Fig. 1, φ is the latitude, positive northward, and λ is the longitude, positive eastward), the initial and final courses α 1 and α 2 are given by formulas for solving a spherical triangle
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 ...
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For comparison, dotted lines denote corresponding lengths assuming a spherical Earth of IUGG mean radius (R 1 = 6,371.0088 km). For example, the green arrows show that Donetsk (green circle) at 48°N has a Δ long of 74.63 km/deg, 1.244 km/arcmin, 20.73 m/arcsec etc and a Δ lat of 111.2 km/deg, 1.853
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.
The following other wikis use this file: Usage on bjn.wikipedia.org Kiblat; Usage on de.wikiversity.org Kurs:Differentialgeometrie (Osnabrück 2023)/Vorlesung 1
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.
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