GEOGRAPHY & CARTOGRAPHY CALCULATOR
Vincenty Distance
A precise tool.
What is the Vincenty Distance & How does it work?
The geodesic distance between two points on the Earth’s surface is the length of the shortest path that follows the planet’s ellipsoidal shape. Unlike simple spherical approximations, the Vincenty algorithm accounts for the flattening of the Earth, delivering sub‑millimetre accuracy for most practical distances. Vincenty’s inverse solution works with the widely‑adopted WGS‑84 ellipsoid (semi‑major axis = 6378137 m, flattening f = 1/298.257223563). By iteratively solving for the reduced latitude and the azimuths at both points, the method converges on the true geodesic length even over thousands of kilometres. Because the algorithm is iterative, it may fail to converge for nearly antipodal points, but for the vast majority of everyday mapping tasks it provides the most reliable distance calculation available without resorting to full‑scale geodetic libraries.
\displaystyle s = b,A,(\sigma – \Delta\sigma)
s = geodesic distance (metres)
Parameters
Result
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Frequently Asked Questions
What is the difference between Vincenty's method and spherical approximations?
Vincenty's method accounts for the Earth's ellipsoidal shape, providing more accurate distances compared to simple spherical models.
Which ellipsoid does Vincenty's algorithm use?
Vincenty's inverse solution uses the WGS-84 ellipsoid, which is widely adopted for GPS and mapping applications.
What is the accuracy of Vincenty's distance calculation?
Vincenty's method delivers sub-millimetre accuracy for most practical distances on Earth.
Can I use this calculator for long-distance calculations?
Yes, Vincenty's algorithm is suitable for calculating distances over long routes with high precision.
What are the inputs required for this calculation?
You need to provide the latitude and longitude of both points in decimal degrees.
How does Vincenty's algorithm handle the Earth's flattening?
It iteratively solves for the reduced latitude, accounting for the Earth's oblate spheroid shape.
Is this method suitable for all types of terrain?
While highly accurate, Vincenty's method assumes a smooth ellipsoidal surface and may not account for local topography variations.
Results are for informational purposes only and do not constitute professional advice.