GEOGRAPHY & CARTOGRAPHY CALCULATOR
Kmflight Great Circle
A precise tool.
What is the Kmflight Great Circle & How does it work?
The greatβcircle route is the shortest path between two points on the surface of a sphere. It follows the intersection of the sphere with a plane that passes through the sphereβs centre and the two points, producing an arc known as a great circle. Because the Earth is approximately spherical, aviation and maritime navigation use the greatβcircle distance to estimate fuel consumption and flight time. The calculation requires the geographic coordinates (latitudeβ―Ο and longitudeβ―Ξ») of the departure and arrival locations. Mathematically, the central angle between the two points can be found with the spherical law of cosines, and the actual distance is obtained by multiplying this angle by the Earthβs radius. The formula is shown below.
d = R arccosleft(sinphi_{1}sinphi_{2} + cosphi_{1}cosphi_{2}cosDeltalambdaright)
d = greatβcircle distance, R = mean Earth radius (β6371β―km), phi = latitude, lambda = longitude, Deltalambda = difference in longitude
Parameters
Result
β
Frequently Asked Questions
What is a great-circle route?
A great-circle route is the shortest path between two points on the Earth’s surface, following an arc known as a great circle.
Why do aviation and maritime navigation use great-circle distances?
Great-circle distances are used to estimate fuel consumption and flight time accurately because they follow the shortest path on a spherical model of the Earth.
How do I input geographic coordinates into this calculator?
Enter the latitude (Ο) and longitude (Ξ») for both the departure and arrival points in decimal degrees format.
Can this calculator handle different units of measurement?
Yes, the calculator can convert between kilometers and miles based on your preference.
What is the difference between a great circle and a small circle?
A great circle is the largest possible circle that can be drawn on a sphere, passing through both poles. A small circle does not pass through the poles and has a smaller circumference.
Is this calculator suitable for long-haul flights?
Yes, it is particularly useful for long-haul flights as it provides the most accurate distance between two points on the globe.
How does the Earth’s shape affect great-circle calculations?
While the Earth is slightly ellipsoidal, great-circle calculations assume a spherical model to simplify the mathematics and provide a close approximation of actual distances.
Results are for informational purposes only and do not constitute professional advice.