Spherical Distance

The spherical distance between two points P and Q on a sphere is the distance of the shortest path along the surface of the sphere (paths that cut through the interior of the sphere are not allowed) from P to Q, which always lies along a great circle.

For points P and Q on the unit sphere, the spherical distance is given by

 d=cos^(-1)(P·Q),

where P·Q denotes a dot product.

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