Engee documentation

LLA to ECEF Position

The transition from the geodetic coordinate system to the Greenwich coordinate system.

blockType: SubSystem

Path in the library:

/Aerospace/Axes Transformations/LLA to ECEF Position

Description

Block LLA to ECEF Position implements the transition from the geodetic coordinate system to the Greenwich rectangular coordinate system according to the formulas:

Where

  • — radius of curvature of the first vertical;

  • — the semi-major axis of the ellipsoid;

  • — eccentricity;

  • — ellipsoid compression.

An ellipsoid of rotation is used as an approximation to the actual shape of the planet. To use a spherical planet model, set the value of the Flattening parameter to zero.

The Greenwich coordinate system is associated with a rotating planet. The origin of coordinates is in the center of mass of the planet. Axis It is directed to the intersection point of the Greenwich meridian with the equator, the axis coincides with the axis of rotation of the planet and is directed to the North Pole, the axis complements the system to the right.

Ports

Entrance

µ l — geodetic latitude and longitude
vector 2 by 1

Geodetic latitude and longitude, deg.

Data types: Float64

h — height above the ellipsoid
scalar

Height above the ellipsoid. It is measured in units of length.

Data types: Float64

Output

Xf — coordinates of the pass position:q[<br>] vector 3 by 1

Position in the Greenwich rectangular coordinate system. It is measured in the same units of measurement as the signal at the input of the h port.

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

The equatorial radius of the planet. It is set in the same units of measurement as the signal at the input of port h.

Dependencies

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