AllMyCalculators

Midpoint Between Coordinates Calculator

Finds the point halfway along the shortest route between two coordinates.

Decimal degrees. North is positive, south is negative.

Decimal degrees. East is positive, west is negative.

Decimal degrees. North is positive, south is negative.

Decimal degrees. East is positive, west is negative.

Midpoint
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Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

Latitude — °
Longitude — °
Distance from each end —
Reading this —

The formula

Bx = cos φ₂ × cos Δλ, By = cos φ₂ × sin Δλ φm = atan2(sin φ₁ + sin φ₂, √((cos φ₁ + Bx)² + By²)) λm = λ₁ + atan2(By, cos φ₁ + Bx)

The Earth is treated as a sphere. Longitude is wrapped back to the range ±180°.

What to watch out for

For points close together the plain average of the coordinates is near enough. For long routes, or those close to a pole or the 180° meridian, the average can be far off.

Frequently Asked Questions

Where is the midpoint between London and New York?

About 52.4° N, 41.3° W, in the North Atlantic. Averaging the coordinates would give 46.1° N, 37.1° W, a different spot.

What about a route that crosses the 180° meridian?

It is handled. Halfway between 170° E and 170° W on the equator comes out at 180°, not at 0°.