Path: FormationFlying/Dynamics
% Continuous-time linear model of Hills equations in the Hills frame.
Valid for circular orbits only.
x - radial, aligned with position vector;
y - in the direction of the velocity vector;
z - normal to the orbit plane.
This frame is consistent with Kaplan's convention.
Note: Previously named "HillsPropagationH". Renamed for clarity.
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Form:
xDot = RelativeOrbitRHS( x, t, w, u )
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Inputs
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x (6,1) [r;v] Spacecraft state in the Hills frame
t (1,1) Current time (unused) (sec)
w (1,1) Orbital Rate (rad/s)
u (3,1) Thrust vector
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Outputs
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xDot (6,1) d[r;v]/dt
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Reference: Vallado, D.A. "Fundamentals of Astrodynamics and
Applications", pp. 372-377, 2nd Edition.
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