Great Circle Distance Calculator
Calculate the shortest distance between two points on Earth using the Haversine formula. Includes initial course, final bearing, and midpoint.
Inputs
Results
Distance
747.8 NM
Initial True Course
246°
How to Use This Calculator
- Enter departure and destination coordinates in decimal degrees.
- North latitude and East longitude are positive; South and West are negative.
- Look up airport coordinates on SkyVector or AirNav.
- Results show great circle distance and initial true course.
How the result changes with Destination Longitude
| Destination Longitude | Distance | Initial True Course |
|---|---|---|
| -118.41 | 747.8 NM | 246° |
| -0.45 | 2,991.4 NM | 51° |
| 140.39 | 4,442.3 NM | 303° |
What each input means
- Departure Latitude
- Latitude in decimal degrees. North is positive, South is negative. Example: Denver = 39.8561
- Departure Longitude
- Longitude in decimal degrees. East is positive, West is negative. Example: Denver = −104.6737
- Destination Latitude
- Destination latitude in decimal degrees. Example: LAX = 33.9425
- Destination Longitude
- Destination longitude in decimal degrees. Example: LAX = −118.4081
How this is calculated
Worked example, using the default values
- Great Circle DistanceHaversine: d = R × 2 × atan2(√a, √(1−a))From 39.8561°N, 104.6737°W to 33.9425°N, 118.4081°W = 747.8 NM
- Initial True Courseθ = atan2(sin(Δlon)·cos(lat₂), cos(lat₁)·sin(lat₂) − sin(lat₁)·cos(lat₂)·cos(Δlon))From departure coordinates = 246°
- MidpointCalculated from spherical geometryHalfway along the great circle = 37.0973°N, 111.8085°W
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