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.
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Form:
Phi = ClohessyWiltshire( w, t )
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Inputs
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w (1) Orbit rate (rad/sec)
t (1) Time from initial state [r0; v0] (sec)
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Outputs
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Phi (:) Propagation matrix structure
.rr (3,3)
.rv (3,3)
.vr (3,3)
.vv (3,3)
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Reference: Hablani, Tapper, Bashian et al. "Guidance algorithms
for Autonomous Rendezvous of Spacecraft with a Target
Vehicle in Circular Orbit," 2001
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SC: BasicOrbit/OrbRate
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