Geodesy & Distance CalcyZone Calculator

Vincenty Distance Calculator

Calculate high-precision ellipsoidal geodesic distance on the WGS-84 ellipsoid using Vincenty inverse algorithm.

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid

Origin Location Preset

Destination Location Preset

Point 1 Coordinates (Origin)

Latitude (°N/S)

Longitude (°E/W)

Point 2 Coordinates (Destination)

Latitude (°N/S)

Longitude (°E/W)

Calculated Geodetic Solution

5,585,233.58 m (5585.234 km)

Ellipsoidal Distance5585.234 km

Meters5585233.58 m

Initial Forward Bearing51.24°

Final Reverse Bearing108.37°

🗺️ Interactive Geographic Map & Geodesic Trajectory

Click anywhere on the map or drag pins to update coordinates live.

Map Data: © OpenStreetMap ContributorsWGS-84 Precision Geodesic Curve

Step-by-Step Mathematical Derivation

1. Given Input Coordinates:

Point 1: (40.7128°, -74.006°)
Point 2: (51.5074°, -0.1278°)

2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km

3. Governing Geodesic Formula:WGS-84 Inverse Vincenty Geodesic Ellipsoidal Model

4. Variable Substitution:Semi-major a = 6,378,137m, Semi-minor b = 6,356,752.3m

5. Interpretation & Practical Application:

High-precision WGS-84 ellipsoidal distance is 5585233.58 meters.

Mathematical Formula

Vincenty Inverse Geodesic Algorithm on WGS-84 Ellipsoid

Overview & Explanation

Provides millimeter-accurate geodesic distance calculations by modeling Earth as an oblate spheroid.

How It Works

Iteratively solves geodesic differential equations on the WGS-84 ellipsoid.

Practical Applications

High-precision surveying.
Geodetic research.
Boundary mapping.

Worked Example: NY to London (WGS-84)

Calculate Vincenty distance.

Iterate Vincenty

s = 5,576,012m

= 5,576.012 km (Accurate to 0.5mm)

Frequently Asked Questions

Why is Vincenty more accurate than Haversine?

Haversine assumes a perfect sphere, while Vincenty accounts for Earth flattening at the poles.

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