Geodetic to Geocentric Latitude

The transition from geodetic latitude to geocentric latitude.

geodetic to geocentric latitude

Description

Block Geodetic to Geocentric Latitude calculates the geocentric latitude and the distance from the centre of the planet to its centre of gravity based on the geodetic latitude and altitude using the formulas:

where

- is the radius of curvature of the first vertical;
- eccentricity;
- ellipsoid compression.

Limitations

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

Ports

Input

μ - geodetic latitude
scalar

Geodetic latitude, deg. Latitude values can be any, but at values -90° and +90° the unit can form incorrect values of output signals.

Data types: Float64

h - geodetic height
scalar

Geodetic height, m.

Data types: Float64

Output

λ - geocentric latitude
scalar

Geocentric latitude, deg.

Data types: Float64

r - distance from the centre of the planet to the centre of gravity
scalar

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

Data types: Float64

Parameters

Planet model - planet
Earth (WGS84) (by default) | Custom

Geodetic parameters of the planet. For the Earth the system WGS 84 is used.

Dependencies

Parameters Flattening and Equatorial radius of planet are available only when Custom option is selected.

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

Compression of the planet ellipsoid.

Dependencies

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

Equatorial radius of planet - equatorial radius of planet
6378137.0 (By default) | scalar.

Equatorial radius of planet, m.

Dependencies

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