Geocentric to Geodetic Latitude
The transition from geocentric latitude to geodetic.
blockType: SubSystem
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Path in the library: |
Description
Block Geocentric to Geodetic Latitude calculates geodetic latitude and height based on geocentric latitude and the distance from the center of the planet to its center of gravity .
The calculation is performed as follows.
The coordinates of a given point in the polar coordinate system are determined:
Next, the geometric characteristics of the ellipsoid are calculated:
Where
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— the semi-major axis of the ellipsoid;
-
— ellipsoid compression;
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— the minor semi-axis of the ellipsoid;
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— the first eccentricity;
-
— the second eccentricity.
Geodetic latitude is calculated by the Bowring formula:
Where — the auxiliary angle, which is from the expression:
The method of successive approximations is used to calculate the geodetic latitude.
The geodetic height is determined by the formula:
Where — radius of curvature of the first vertical.
Ports
Entrance
λ — geocentric latitude
scalar
Geocentric latitude, deg. The latitude values can be any, however, at the values of -90° and +90°, the block may generate incorrect values of the output signals.
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.