Modeling the Earth

Represent the shape and size of the Earth; represent ellipsoids; convert between parameters

Functions

`geocrs`	Geographic coordinate reference system
`wgs84Ellipsoid`	Reference ellipsoid for World Geodetic System 1984
`egm96geoid`	Geoid height from Earth Gravitational Model 1996 (EGM96)
`earthRadius`	Mean radius of planet Earth
`rcurve`	Ellipsoidal radii of curvature
`rsphere`	Radii of auxiliary spheres

`geocentricLatitude`	Convert geodetic to geocentric latitude
`parametricLatitude`	Convert geodetic to parametric latitude
`geodeticLatitudeFromGeocentric`	Convert geocentric to geodetic latitude
`geodeticLatitudeFromParametric`	Convert parametric to geodetic latitude

`axes2ecc`	Eccentricity of ellipse from axes lengths
`majaxis`	Semimajor axis of ellipse
`minaxis`	Semiminor axis of ellipse
`ecc2flat`	Flattening of ellipse from eccentricity
`flat2ecc`	Eccentricity of ellipse from flattening
`ecc2n`	Third flattening of ellipse from eccentricity
`n2ecc`	Eccentricity of ellipse from third flattening

Classes

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Spheroid Objects

`oblateSpheroid`	Oblate ellipsoid of revolution
`referenceEllipsoid`	Reference ellipsoid
`referenceSphere`	Reference sphere

Latitude Conversion Objects

`AuthalicLatitudeConverter`	Convert between geodetic and authalic latitudes
`ConformalLatitudeConverter`	Convert between geodetic and conformal latitudes
`IsometricLatitudeConverter`	Convert between geodetic and isometric latitudes
`RectifyingLatitudeConverter`	Convert between geodetic and rectifying latitudes

Topics

The Shape of the Earth

The Earth can be modeled with increasing precision as a perfect sphere, an oblate spheroid, an ellipsoid, or a geoid.

Reference Spheroids

A reference spheroid is a model of a roughly-spherical astronomical body with a simplified geometry, such as a sphere with uniform radius or a standard ellipsoid.

Work with Reference Spheroids

Use reference spheroids to create map projections, to calculate curves and areas on the surface of a spheroid, and to transform 3-D geodetic coordinates.

Documentation