CL_co_car2sph

Description

• Converts cartesian coordinates into spherical coordinates.

  Optionally converts time derivatives of cartesian coordinates into time derivatives of spherical coordinates.

  

• Notes:

  - Longitudes of points along the Z-axis are arbitrarily set to 0.

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

  - Elements of the jacobian that cannot be computed (on the Z-axis) are set to %nan.

  - Beware that the 3rd spherical coordinate is a radius and not an altitude.

  - Input arguments cannot be named.

Parameters

pos_car :

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

vel_car :

(optional) [vx;vy;vz] Velocity vector in cartesian coordinates [m/s] (3xN)

pos_sph :

[lon;lat;r] Position vector in spherical coordinates [rad,m](3xN)

pos_sph_dot :

(optional) [d(lon)/dt;d(lat)/dt;d(r)/dt] Time derivatives of spherical coordinates [rad/s,m/s] (3xN)

pv_car :

[pos_car; vel_car] (6xN)

pv_sph :

[pos_sph; pos_sph_dot] (6xN)

jacob :

(optional) Transformation jacobian (3x3xN) or (6x6xN)

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_car_geoc)

See also

• CL_co_sph2car

Examples

// Example 1 pos_car = [3842403.1; -5057704.6; 577780.5]; [pos_sph] = CL_co_car2sph(pos_car) // Example 2 vel_car = [1000; 1000; 100]; [pos_sph,pos_sph_dot,jacob] = CL_co_car2sph(pos_car,vel_car)