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Calcimator

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°

Distance860.5 SM
Distance1,384.8 km
Final Bearing238°
Est. Time at 120 kt374 min
Est. Time at 450 kt100 min
How to Use This Calculator
  1. Enter departure and destination coordinates in decimal degrees.
  2. North latitude and East longitude are positive; South and West are negative.
  3. Look up airport coordinates on SkyVector or AirNav.
  4. Results show great circle distance and initial true course.

How the result changes with Destination Longitude

Destination LongitudeDistanceInitial True Course
-118.41747.8 NM246°
-0.452,991.4 NM51°
140.394,442.3 NM303°

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

  1. Great Circle Distance
    Haversine: d = R × 2 × atan2(√a, √(1−a))
    From 39.8561°N, 104.6737°W to 33.9425°N, 118.4081°W = 747.8 NM
  2. Initial True Course
    θ = atan2(sin(Δlon)·cos(lat₂), cos(lat₁)·sin(lat₂) − sin(lat₁)·cos(lat₂)·cos(Δlon))
    From departure coordinates = 246°
  3. Midpoint
    Calculated from spherical geometry
    Halfway along the great circle = 37.0973°N, 111.8085°W

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