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Midpoint Coordinate Calculator

Calculate the exact half-way geographic midpoint along the great-circle path between two coordinates.

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid
Point 1 Coordinates (Origin)
Point 2 Coordinates (Destination)
Calculated Geodetic Solution
Midpoint: (52.36844°, -41.290307°)
Midpoint Latitude52.36844°
Midpoint Longitude-41.290307°
🗺️ Interactive Geographic Map & Geodesic Trajectory

Click anywhere on the map or drag pins to update coordinates live.

Map Data: © OpenStreetMap ContributorsWGS-84 Precision Geodesic Curve

Step-by-Step Mathematical Derivation

1. Given Input Coordinates:
  • Point 1: (40.7128°, -74.006°)
  • Point 2: (51.5074°, -0.1278°)
2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km
3. Governing Geodesic Formula:Bx = cos(φ2)cos(Δλ), By = cos(φ2)sin(Δλ), φm = atan2(sin(φ1)+sin(φ2), sqrt((cos(φ1)+Bx)² + By²))
4. Variable Substitution:Spherical geodesic half-way midpoint
5. Interpretation & Practical Application:

The exact geographic midpoint along the great circle is (52.36844°, -41.290307°).

Mathematical Formula

Bx = cos(lat2)cos(Δlng), By = cos(lat2)sin(Δlng), latM = atan2(...)

Overview & Explanation

Calculates the geographic midpoint along the shortest spherical path between two locations.

How It Works

  • Converts to 3D unit vectors, averages components, and converts back to lat/long.

Practical Applications

  • Meeting point selection between cities.
  • Flight refueling stop points.

Worked Example: Halfway between NY and London

Find midpoint.

1

Compute Midpoint

Great circle midpoint

= 47.7801° N, 42.0622° W (North Atlantic Ocean)

Frequently Asked Questions

Is the geographic midpoint the arithmetic mean of lat/long?
No, simple arithmetic mean distorts spherical geometry. This calculator uses true 3D spherical midpointing.

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