The XYZ to LLA calculator computes the latitude, longitude and altitude associated with the XYZ coordinate in an Earth Centered Fixed coordinate frame.

INSTRUCTIONS: Choose units and enter the following:

• (X) X coordinate
• (Y) Y coordinate
• (Z) Z coordinate

Latitude, Longitude and Altitude (LLA): The calculator returns latitude and longitude in degrees, and altitude in meters.  However, these can be automatically converted to compatible units via the pull-down menu.  Note: the latitude is provided in Geocentric Latitude and Geodetic Latitude (local horizon) values.

The Math / Science

This formula lets the user enter a three dimensional vector with X, Y and Z components of any length in any of vCalc's standard units. Vector in three dimensions This algorithm converts all of the components to a standard unit (meters) and calculates the latitude, longitude and altitude based on the WGS-84 model of the earth as an oblate spheroid.  The primary consideration in that model is the bulge of the Earth along the equator.

Earth Model Calculators

• Slant Range using Position Vectors
• Slant Range from Elevation Angle (α)
• Slant Range using Subtended Angle (β)
• Distance to Horizon
• Angle of Satellite Visibility
• Grazing Angle
• XYZ to Latitude, Longitude, Altitude
• Earth WGS-84 Equatorial radius in meters: 6378137.0 m
• Earth WGS-84 Polar radius in meters: 6356752.31424518 m 
• Earth Flattening Factor (WGS-84): 0.00335281066474748071984552861852
• Ellipse flattening factor: F = (Er - Pr)/Er  
• Geocentric to Geodetic Latitude
• Geodetic to Geocentric Latitude

See Also

• International Gravity Formula