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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 between the two points on the surface of the sphere.
Learn what is a great circle, the largest circle on a sphere, and how to calculate its length using the great circle formula. See two examples of using the formula with different radius, latitude and longitude values.
In mathematics, a great circle or orthodrome is the circular intersection of a sphere and a plane passing through the sphere's center point. Any arc of a great circle is a geodesic of the sphere, so that great circles in spherical geometry are the natural analog of straight lines in Euclidean space.
2 dni temu · A great circle is a section of a sphere that contains a diameter of the sphere (Kern and Bland 1948, p. 87). Sections of the sphere that do not contain a diameter are called small circles. A great circle becomes a straight line in a gnomonic projection (Steinhaus 1999, pp. 220-221).
Distance. This uses the ‘ haversine ’ formula to calculate the great-circle distance between two points – that is, the shortest distance over the earth’s surface – giving an ‘as-the-crow-flies’ distance between the points (ignoring any hills they fly over, of course!).
The great circle distance, \(d\), is the shorter arc joining two points on a great circle. We can also consider the chord (straight line) joining the two points, and we let its length be \(C\).
To calculate the great circle distance (D) between two coordinates, the following formula is used: Cos (D) = (Sin a Sin b) + (Cos a Cos b Cos |c|) Where a and b are the latitudes (in degrees) of the respective coordinates, and |c| is the absolute value of the difference in longitude between the respective coordinates.
