Geodetic to Geocentric Latitude - Convert geodetic latitude to geocentric latitude

Library

Utilities/Axes Transformations

Description

The Geodetic to Geocentric Latitude block converts a geodetic latitude (μ) into geocentric latitude (λ). Geocentric latitude at the planet surface is defined by flattening (f), and geodetic latitude in the following relationship.

Geocentric latitude is defined by mean sea-level altitude (h), geodetic latitude, radius of the planet and geocentric latitude at the planet surface in the following relationship.

Dialog Box

Units

Specifies the parameter and output units:

Units	Altitude	Equatorial Radius
`Metric (MKS)`	Meters	Meters
`English`	Feet	Feet

This option is only available when Planet model is set to Earth (WGS84).

Planet model

Specifies the planet model to use: Custom or Earth (WGS84).

Flattening

Specifies the flattening of the planet. This option is only available with Planet model set to Custom.

Equatorial radius of planet: Specifies the radius of the planet at its equator. The units of the equatorial radius parameter should be the same as the units for altitude. This option is only available with Planet model set to Custom.

Inputs and Outputs

Input	Dimension Type	Description
First	Scalar	Contains the geocentric latitude, in degrees.
Second	Scalar	Contains the mean sea-level altitude (MSL).

Output	Dimension Type	Description
First	Scalar	Contains the geodetic latitude, in degrees.

Assumptions and Limitations

This implementation generates a geocentric latitude that lies between ±90 degrees.

Reference

Stevens, B. L., and F. L. Lewis, Aircraft Control and Simulation, John Wiley & Sons, New York, 1992.