geo-distance Verified Precision Tool

Lat Long Height to ECEF Converter

Convert WGS-84 latitude, longitude, and ellipsoidal height into 3D Earth-Centered, Earth-Fixed (ECEF) X, Y, Z Cartesian coordinates.

📍 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

X: 1334000.54m, Y: -4654052.13m, Z: 4138306.76m

X (Meters)1334000.54 m

Y (Meters)-4654052.13 m

Z (Meters)4138306.76 m

🗺️ 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:

Lat: 40.7128°
Lng: -74.006°
Alt: 10m

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

3. Governing Geodesic Formula:X = (N+h)cos(φ)cos(λ), Y = (N+h)cos(φ)sin(λ), Z = (N(1-e²)+h)sin(φ)

4. Variable Substitution:N = WGS84_A / sqrt(1 - e²sin²φ)

5. Interpretation & Practical Application:

Converted geographic position to 3D Cartesian Earth-Centered Earth-Fixed coordinates.

Mathematical Formula

X = (N+h)cos(φ)cos(λ), Y = (N+h)cos(φ)sin(λ), Z = (N(1-e²)+h)sin(φ)

Overview & Explanation

Transforms geographic spherical coordinates and altitude into 3D Cartesian space.

How It Works

Evaluates prime vertical radius of curvature N and projects to X, Y, Z.

Practical Applications

Satellite positioning.
3D spatial mechanics.

Worked Example: New York (40.7128°, -74.0060°)

Convert to ECEF.

Compute N and XYZ

N = 6,388,435m

= X = 1,333,999m, Y = -4,654,000m, Z = 4,138,000m

Frequently Asked Questions

Is altitude MSL or Ellipsoidal?

Standard ECEF calculations expect ellipsoidal height above the WGS-84 reference ellipsoid.

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