CL_co_ell2car

Description

• Converts elliptical ("geodetic") coordinates into cartesian coordinates.

  Elliptical coordinates are longitude, latitude and altitude with respect to some reference ellipsoid.

  The reference ellipsoid is an ellipsoid of revolution around the Z axis. It is then characterized by 2 parameters:

  - semi-major axis of the ellipse obtained as the intersection of the ellipsoid with any plane containing the Z axis,

  - oblateness (or flattening) of this ellipse.

  

• Notes:

  - The transformation jacobian is computed if the corresponding output argument exists.

  - Be careful that the 3rd elliptical coordinate is an altitude and not the distance to the planet center.

Parameters

pos_ell :

[lon;lat;alt] Position vector in elliptical ("geodetic") coordinates [rad,m] (3xN)

er :

(optional) Equatorial radius of reference ellipsoid [m] (default is %CL_eqRad)

obla :

(optional) Oblateness of reference ellipsoid (default is %CL_obla)

pos_car :

[x;y;z] Position vector in cartesian coordinates [m] (3xN)

jacob :

(optional) Transformation jacobian (3x3xN)

Authors

• CNES - DCT/SB

Bibliography

• 1) Mecanique Spatiale, Cnes - Cepadues Editions, Tome I, section 3.2.3 (Les reperes de l'espace et du temps, Relations entre les coordonnees)

• 2) CNES - MSLIB FORTRAN 90, Volume T (mt_geod_car)

See also

• CL_co_car2ell

• CL_co_car2sph

Examples

// Example 1 : pos_ell = [CL_deg2rad(12.125); CL_deg2rad(108.2); 110.0]; [pos_car,jacob1] = CL_co_ell2car(pos_ell);