Geocentric to Geodetic Latitude
Transition from geocentric latitude to geodetic latitude.
Description
The Geocentric to Geodetic Latitude block calculates the geodetic latitude and altitude based on the geocentric latitude and the distance from the centre of the planet to its centre of gravity .
The calculation is performed as follows.
The coordinates of the given point in the polar coordinate system are determined:
Next, the geometric characteristics of the ellipsoid are calculated:
where
-
- is the major semi-axis of the ellipsoid;
-
- compression of the ellipsoid.
-
- minor semi-major axis of an ellipsoid;
-
- first eccentricity;
-
- second eccentricity.
Geodetic latitude is calculated by Bowring’s formula:
where is the auxiliary angle, which is found from the expression:
The method of successive approximations is used to calculate geodetic latitude.
Geodetic height is determined by the formula:
where - is the radius of curvature of the first vertical.
Ports
Input
λ - geocentric latitude
scalar
Geocentric 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
r - distance from the planet centre 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.