Enter the co-ordinates into the text boxes to try it out. It accepts a variety of formats:

• deg-min-sec suffixed with N/S/E/W (e.g. 40°44′55″N, 73 59 11W), or
• signed decimal degrees without compass direction, where negative indicates west/south (e.g. 40.7486, -73.9864):

Lat 1: Long 1:

Lat 2: Long 2:

Calculation assumes a spherical earth, ignoring ellipsoidal effects, giving an ‘as-the-crow-flies’-distance between points.

This is the initial bearing which if followed in a straight line along a great-circle arc (orthodrome) will take you from the start point to the end point; in general, the bearing you are following will have varied by the time you get to the end point (if you were to go from say 35°N,45°E (Baghdad) to 35°N,135°E (Osaka), you would start on a bearing of 60° and end up on a bearing of 120°!).

For final bearing, take the initial bearing from the end point to the start point and reverse it (using θ = (θ + 180) % 360).

Just as the initial bearing may vary from the final bearing, the midpoint may not be located half-way between latitudes/longitudes; the midpoint between 35°N,45°E and 35°N,135°E is around 45°N,90°E.

Destination point given distance and bearing from start point

Given a start point, initial bearing, and distance, this will calculate the destination point and final bearing travelling along a (shortest distance) great circle arc.

For final bearing, take the initial bearing from the end point to the start point and reverse it.

Rhumb lines

A ‘rhumb line’ (or loxodrome) is a path of constant bearing, which crosses all meridians at the same angle.

Lat 1: Long 1:

Lat 2: Long 2:

Given a start point and a distance d along constant bearing, this will calculate the destination point. If you maintain a constant bearing along a rhumb line, you will gradually spiral in towards one of the poles.

Convert between degrees-minutes-seconds & decimal degrees