Clohessy-Wiltshire N transformation Matrix
N = CL_cw_Nmatrix(alt,delta_t [,er,mu])
Computes the Clohessy-Wiltshire N 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.
- delta gamma = difference of acceleration between the chaser and the target (gamma chaser minus gamma target) relative to LVLH local frame (of the target).
Target altitude (semi-major axis minus equatorial radius) [m] (1xN or 1x1)
Time step [s] (1xN or 1x1)
(optional) Equatorial radius [m] (default is %CL_eqRad)
(optional) Gravitational constant [m^3/s^2] (default is %CL_mu)
Clohessy-Wiltshire "N" transformation matrix (6x6xN)
CNES - DCT/SB
1) Mecanique spatiale, CNES - Cepadues 1995, Tome II, chapter 16 (Le rendez-vous orbital)