Great-Circle Distance & Course Calculator
Enter two points in decimal degrees (north and east positive) to get the shortest-path distance, initial course and time. Defaults: Karachi to Dubai.
Formula
Haversine: a = sin²(Δφ/2) + cos φ1 · cos φ2 · sin²(Δλ/2); distance = 2R·asin(√a) with R = 3,440.065 NM. Initial course = atan2(sin Δλ · cos φ2, cos φ1 · sin φ2 − sin φ1 · cos φ2 · cos Δλ).
FAQ
Why is the great-circle route shorter?
On a sphere the shortest path between two points is an arc of a great circle, which looks curved on a flat map.