D K 1 D ϕ 2 K 2 D l 2 displaystyle D sqrt K_ 1Delta phi 2 K_ 2Delta lambda 2 where. Mathematical Formula The Great-Circle Distance. Haversine formula is also another formula to calculate distance of two locations on a sphere using.
In the haversine formula d is the distance between two points along a great circle r is the radius of the sphere ϕ 1 and ϕ 2 are the latitudes of the two points and l 1 and l 2 are the longitudes of the two points all in radians.
The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudesImportant 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. D ϕ displaystyle Delta phi and. Displaystyle R_ 1 frac 1 3 2abapprox 6371009mathrm km for the WGS84 ellipsoid means that in the limit of small flattening the mean square relative error in the estimates for distance is minimized. The one which uses haversine formula and the another one which uses Vincenty formula.