Outdoors & maps

Coordinate from distance & bearing

Find a spherical destination from a starting point and initial bearing.

Coordinate from distance & bearing
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A clear answer. Here’s how.

Moves along a great-circle arc on a 6,371 km sphere. Normalises the initial bearing and resulting longitude; distance is limited to less than half the circumference. Starting exactly at a pole is rejected because its north-reference bearing is ambiguous. No map, obstacles, terrain, magnetic declination or route guidance is supplied.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Latitude (degrees)
51.5074
Longitude (degrees)
-0.1278
Initial true bearing (degrees clockwise from north)
90
Surface distance (km)
100

Example result

Destination latitude
51.498525658
Destination longitude
1.31690640919
Latitude DMS
51° 29′ 54.692″ N
Longitude DMS
1° 19′ 0.863″ E