Geodetic Distance Calculator (Vincenty's Formulae)
Calculate geodetic distances with precision using Vincenty's formulae. Perfect for advanced earth science studies and applications.
How to use
Enter both point coordinates in decimal degrees, keeping latitudes between -90° and 90° and longitudes between -180° and 180°. Click Calculate or let the inputs auto-update.
The resulting values reflect the shortest path over the WGS84 ellipsoid, suitable for navigation, surveying, and scientific analysis.
Methodology
This tool uses Vincenty's inverse formula, which iteratively solves the geodesic problem on an oblate ellipsoid. The method accounts for Earth's flattening and converges to sub-meter accuracy.
Full original guide (expanded)
This calculator is designed for scientists and engineers needing precise geodetic distance calculations. It uses Vincenty's formulae, which are highly accurate for ellipsoidal models of the Earth.
Data Source and Methodology: All calculations draw on Vincenty's iteration for the WGS84 ellipsoid, matching the approach documented in NOAA's Geodetic Calculation documentation.
The Formula Explained: Vincenty's inverse solution iteratively computes azimuths and reduces the ellipsoid to an auxiliary sphere to find the true geodesic distance between the two points.
Glossary
- Latitude: North–south angular coordinate of a point.
- Longitude: East–west angular coordinate of a point.
- Distance: Shortest path following the ellipsoidal surface.
Example
Assume Point 1 is at 34.05° N, 118.25° W, and Point 2 is at 40.71° N, 74.01° W. The calculator iteratively converges on the distance by solving Vincenty's inverse equations and returns the geodesic length.
Frequently Asked Questions
What is Vincenty's Formulae?
Vincenty's formulae solve for the distance between two points on a spheroid using iterative methods.
How accurate is this calculator?
It delivers sub-meter accuracy for most distances by modeling Earth as an ellipsoid.
Can this calculator be used for air navigation?
Yes, the precision is suitable for flight planning where accurate great-circle distances are required.
How do I convert geographic coordinates to decimal?
Use Degrees + (Minutes/60) + (Seconds/3600) to convert from DMS to decimal degrees.
Why are ellipsoids used instead of spheres?
Ellipsoids account for Earth's flattening and provide more accurate measurements than simple spherical models.