Geodetic to Geocentric Latitude

The transition from geodetic latitude to geocentric.

blockType: SubSystem

Path in the library:

/Aerospace/Axes Transformations/Geodetic to Geocentric Latitude

Description

Block Geodetic to Geocentric Latitude calculates the geocentric latitude and the distance from the center of the planet to its center of gravity based on geodetic latitudes and heights according to the formulas:

Where

— radius of curvature of the first vertical;
— eccentricity;
— ellipsoid compression.

Restrictions

The values of the geocentric latitude are in the range [-90°, +90°].

Ports

Entrance

µ — geodetic latitude
scalar

Geodetic latitude, deg. The latitude values can be any, however, at values of -90° and +90°, the block may generate incorrect values of the output signals.

Data types: Float64

h — geodetic pass height:q[<br>] scalar

Geodetic height, m.

Data types: Float64

Output

λ — geocentric latitude
scalar

Geocentric latitude, deg.

Data types: Float64

r is the distance from the center of the planet to the center of gravity
scalar

Distance from the center of the planet to the center of gravity, m.

Data types: Float64

Parameters

Planet model — Planet
Earth (WGS84) (by default) | Custom

Geodesic parameters of the planet. The WGS 84 system is used for the Earth.

Dependencies

The Flattening and Equatorial radius of planet parameters are available only when the Custom option is selected.

Flattening — compression
1/298.257223563 (by default) | scalar

Compression of the ellipsoid of the planet.

Dependencies

To use this parameter, set the Planet model parameter to Custom.

Equatorial radius of planet — equatorial radius of planet
6378137.0 (by default) | scalar

Equatorial radius of the planet, m.

Dependencies

To use this parameter, set the Planet model parameter to Custom.