CL_cw_propagate

Description

• Propagates using clohessy-Whiltshire equations (including a constant relative acceleration).

  The reference frame used is the target's LVLH local frame (origin = target).

  The reference altitude alt is the altitude of the target = semi major axis of target's (circular) orbit minus equatorial radius.

  acc is a (constant) differential inertial acceleration between t0 and t with components in the reference frame.

Parameters

t0:

Initial time [days] (1x1 or 1xN)

pv0:

Initial (relative) position and velocity vectors in reference frame [m,m/s] (6x1 or 6xN)

t:

Final time [days] (1xN or 1x1)

alt:

Reference altitude (= altitude of target) [m] (1x1 or 1xN)

acc:

(optional) Differential (constant) acceleration in reference frame (m/s^2). Default is []. (3x1 or 3xN)

er:

(optional) Equatorial radius [m]. Default is %CL_eqRad

mu:

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

pv:

Relative position and velocity vectors at time t in reference frame [m,m/s] (6xN)

Authors

• CNES - DCT/SB

See also

• CL_cw_Mmatrix

• CL_cw_Nmatrix

Bibliography

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

Examples

alt = 450.e3; t0 = 0; pv0 = [1;0;0;1;0;0]; t = (100:100:500)/86400; pv = CL_cw_propagate(t0, pv0, t, alt)