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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 ...
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 ...
The shortest distance between two geographical points is the great-circle distance. In the example (right), the aircraft travelling westward from North America to Japan is following a great-circle route extending northward towards the Arctic region. The apparent curve of the route is a result of distortion when plotted onto a conventional map ...
Vincenty's formulae are two related iterative methods used in geodesy to calculate the distance between two points on the surface of a spheroid, developed by Thaddeus Vincenty (1975a). They are based on the assumption that the figure of the Earth is an oblate spheroid, and hence are more accurate than methods that assume a spherical Earth, such ...
d is the distance between the two points along a great circle of the sphere (see spherical distance), r is the radius of the sphere. The haversine formula allows the haversine of θ to be computed directly from the latitude (represented by φ) and longitude (represented by λ) of the two points:
The upshot is that the receiver can determine with certainty the exact bearing from the station. Again, a cross-cut is used to pinpoint the location. Many VOR stations also have additional equipment called DME (distance measuring equipment) which will allow a suitable receiver to determine the exact distance from the station. Together with the ...
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 ...
A great circle route would have the shortest ground distance, but is unlikely to have the shortest air distance, due to the effect of head or tail winds. A flight planning system may have to perform significant analysis to determine a good free-flight route.
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