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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 ...
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 ...
The great circle route over the North Pole is 13,000 km (7,000 nmi), or 5 + 1 ⁄ 2 hours less flying time at a typical cruising speed. Some old maps in the Mercator projection have grids composed of lines of latitude and longitude but also show rhumb lines which are oriented directly towards north, at a right angle from the north, or at some ...
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 distance AB along the parallel is (a cos φ) λ. The length of the chord AB is 2(a cos φ) sin λ / 2 . This chord subtends an angle at the centre equal to 2arcsin(cos φ sin λ / 2 ) and the great circle distance between A and B is 2a arcsin(cos φ sin λ / 2 ).) In the extreme case where the longitudinal separation ...
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 ...
The Crimson Route was a planned Great Circle route to ferry aircraft from manufacturing plants in Southern California and Seattle via Montana over Canada to Greenland using Arctic air routes. This route had the advantage of avoiding the poor weather over the North Atlantic by flying over the high latitudes of northern Canada to Greenland, then ...
Pilots use aeronautical charts based on LCC because a straight line drawn on a Lambert conformal conic projection approximates a great-circle route between endpoints for typical flight distances. The US systems of VFR ( visual flight rules ) sectional charts and terminal area charts are drafted on the LCC with standard parallels at 33°N and 45°N.
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