Path: Orbit/Glideslope
% A special formulation of the Clohessy-Wiltshire equations.
Returns four Phi matrices which give the position and velocity as a
function of time t when distance x along the orbit circumference
is not necessarily small:
r(t) = Phi.rr*r0 + Phi.rv*v0;
v(t) = Phi.vr*r0 + Phi.vv*v0;
where v has been substituted for rDot for clarity. These matrices
only apply to circular orbits.
--------------------------------------------------------------------------
Form:
Phi = ClohessyWiltshire( w, t )
--------------------------------------------------------------------------
------
Inputs
------
w (1) Orbit rate (rad/sec)
t (1) Time from initial state [r0; v0] (sec)
-------
Outputs
-------
Phi (:) Propagation matrix structure
.rr (3,3)
.rv (3,3)
.vr (3,3)
.vv (3,3)
--------------------------------------------------------------------------
Reference: Hablani, Tapper, Bashian et al. "Guidance algorithms
for Autonomous Rendezvous of Spacecraft with a Target
Vehicle in Circular Orbit," 2001
--------------------------------------------------------------------------
SC: BasicOrbit/OrbRate Common: CommonData/SwooshWatermark Common: General/CellToMat Common: General/MatToCell Common: General/Watermark Common: Graphics/NewFig Common: Graphics/Plot2D Common: Graphics/PltStyle
Back to the Orbit Module page