MATH CALCULATOR
Great Circle Calculator
Calculate distances and angles on the Earth’s surface using our Great Circle Calculator.
What is the Great Circle Calculator & How does it work?
The Great Circle Calculator is a tool that computes the shortest distance between two points on the Earth’s surface, known as the great-circle distance. This calculation is essential in navigation and aviation to determine the most efficient routes.
The formula used for calculating the great-circle distance is based on the Haversine formula, which accounts for the spherical shape of the Earth. The formula is:The distance is then calculated using:
The formula used for calculating the great-circle distance is based on the Haversine formula, which accounts for the spherical shape of the Earth. The formula is:
a = sin^2left(frac{Deltaphi}{2}right) + cos(phi_1) cdot cos(phi_2) cdot sin^2left(frac{Deltalambda}{2}right)
a = intermediate calculation
ΞΟ = difference in latitude
Ο1, Ο2 = latitudes of the two points
ΞΞ» = difference in longitude
ΞΟ = difference in latitude
Ο1, Ο2 = latitudes of the two points
ΞΞ» = difference in longitude
c = 2 cdot text{atan2}left(sqrt{a}, sqrt{1-a}right)
c = angular distance in radians
atan2 = arctangent function with two arguments
atan2 = arctangent function with two arguments
Parameters
Distance (km)β
Frequently Asked Questions
What is a great-circle distance?
The great-circle distance is the shortest path between two points on the Earth’s surface, following the curvature of the planet.
How does the Great Circle Calculator work?
It uses the Haversine formula to calculate the distance based on the spherical shape of the Earth, providing the most efficient route for navigation.
Can I use this calculator for aviation planning?
Yes, it’s ideal for determining the shortest and most efficient routes in aviation and maritime navigation.
What are the inputs required for the calculation?
You need to provide the latitude and longitude of both points between which you want to calculate the distance.
Is this calculator accurate for long distances?
Yes, it is highly accurate for calculating distances over long routes on Earth’s surface.
Can I use this tool for hiking or road trips?
While primarily used for navigation and aviation, it can also be useful for planning long-distance hikes or road trips.
Does the calculator account for elevation changes?
No, the Great Circle Calculator assumes a spherical Earth model and does not account for elevation changes.
Results are for informational purposes only and do not constitute professional advice.