Geodetic point defined by its Earth-centered Cartesian coordinates in meters:

Convert to its {lat,lon,height} form:

Cartesian coordinates of a geographic location:

Current Cartesian coordinates and time for the International Space Station:

Convert Earth-centered coordinates from the default "ITRF00" datum to the "NAD83CORS96" datum:

Convert back to the "ITRF00" datum, with numerical errors smaller than a micrometer:

Use positions on a sphere of 100 kilometers of radius:

Convert to a 3D vector:

The vector components are given in meters:

Use positions on an ellipsoid of given semiaxes:

Convert to a 3D vector:

Transform back to a GeoPosition object on the ellipsoid:

A position on a geo reference model other than the Earth:

Computations are performed with an ellipsoid of these semiaxis lengths:

A hundred random points on the surface of the Earth:

Plot them on a flat map:

Plot them in 3D space:

Take an icosahedron as a GraphicsComplex object:

Express its 12 vertices as a GeoPositionXYZ array on a sphere of appropriate radius:

Convert to a list of {lat,lon} pairs in degrees:

Construct a GeoPath object that contains the geodesic perimeters of the 20 faces of the icosahedron:

Draw the geodesics on a map of the Earth in the "Equirectangular" projection:

Use an azimuthal projection:

Three-dimensional position of the origin of latitude and longitude:

Three-dimensional position of the North and South Poles:

Convert geodetic coordinates to Cartesian coordinates for an ellipsoid of these semiaxes lengths:

Take a point p of geodetic latitude 60°, zero longitude, and geodetic height 0.15:

Convert it to Cartesian coordinates:

Convert back to geodetic coordinates:

Take a point q of the same latitude and longitude, but zero height:

Represent the relation between the coordinates on a vertical cut of the ellipsoid:

The blue line is perpendicular to the tangent at q and forms an angle of 60° with the axis:

The geodetic height of p along the geodetic vertical is the distance between p and q:

GeoPositionXYZ[{}] represents an empty array of geo positions:

It contains zero positions:

GeoPositionXYZ[] is invalid syntax:

GeoPositionXYZ gives Earth's centered position. GeoPositionENU specifies the center to use:

New York is more than eight kilometers below the tangent plane at Washington:

GeoPositionXYZ coincides with GeoPositionENU for this center:

Choose any location on Earth:

The coordinates of the antipode of a GeoPositionXYZ location have opposite sign: