CL_cw_Mmatrix

Description

• Computes the Clohessy-Wiltshire M transformation matrix.

  The local orbital reference frame tied to the target is LVLH (See CL_fr_lvlhMat).

  

  Notes:

  In the above formula:

  - theta is the phase angle of the target (= "reference") satellite = omega * delta_t, where omega is the target (= "reference") mean motion.

Parameters

alt:

Target altitude (semi-major axis minus equatorial radius) [m] (1xN or 1x1)

delta_t:

Time step [s] (1xN or 1x1)

er:

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

mu:

(optional) Gravitational constant [m^3/s^2] (default is %CL_mu)

M:

Clohessy-Wiltshire "M" transformation matrix (6x6xN)

Authors

• CNES - DCT/SB

See also

• CL_cw_Nmatrix

• CL_cw_propagate

Bibliography

• 1) Mecanique spatiale, CNES - Cepadues 1995, Tome II, chapter 16

Examples

alt = [350.e3 550.e3]; delta_t = [100 150]; [M]=CL_cw_Mmatrix(alt,delta_t)