# Haversine Distance
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- $d = 2r\times arcsin(\sqrt{sin^{2}(\frac{\varphi_{2}-\varphi_{1}}{2})+cos(\varphi_{1})cos(\varphi_{2})sin^{2}(\frac{\lambda_{2}-\lambda_{1}}{2}))}$
- Haversine distance is the distance between two points on a sphere given their longitudes and latitudes
- The main difference is that no straight line is possible since the assumption here is that the two points are on a sphere.
- ssumed the points lie on a sphere
- As you might have expected, Haversine distance is often used in navigation
- calculate the distance between two countries when flying between them
- Note that it is much less suited if the distances by themselves are already not that large. The curvature will not have that large of an impact.