geo-distance Verified Precision Tool

ECEF to Lat Long Height Converter

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

📍 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

Bowring closed-form iterative transformation for WGS-84 ellipsoid

Overview & Explanation

Converts 3D Cartesian coordinates originating from Earth center into geographic coordinates and altitude.

How It Works

Uses Bowring high-precision algorithm for geodetic latitude iteration.

Practical Applications

GPS satellite orbit calculation.
Aerospace tracking.

Worked Example: ECEF (1333999, -4654000, 4138000)

Convert to Lat/Long/Height.

Compute Bowring Iteration

p = 4841315m

= Lat: 40.7128° N, Lng: 74.0060° W, Alt: 10m

Frequently Asked Questions

What is ECEF?

ECEF (Earth-Centered, Earth-Fixed) is a 3D Cartesian coordinate system (X,Y,Z) with origin at Earth center of mass.

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