SubOrbVelocity:
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Compute initial velocity and flight time for a sub-orbital trajectory.
Given an initial altitude and flight path angle, compute the required
velocity for it to hit the target. The target is located at a given
altitude and a specified angular distance (around the Earth).
If not outputs are specified it will perform a simulation of the
initial conditions using a 0.5 sec timestep, demonstrating that the
correct trajectory is obtained.
Since version 1.0
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Form:
[V,tF,lambda] = SubOrbVelocity( gamma, h0, hF, angleDist )
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Inputs
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gamma (1,1) Initial flight path angle (rad)
h0 (1,1) Initial altitude (km)
hF (1,1) Final altitude (km)
angleDist (1,1) Angular distance of flight around Earth (rad)
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Outputs
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V (1,1) Initial velocity required (km/s)
tF (1,1) Flight Time (sec)
lambda (1,1)
See also SubOrbDistance, SubOrbLambert
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References: Zarchan, P. (2002) Tactical and Strategic Missile
Guidance, 4th Edition, pp. 239-244.
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Children:
Common: Graphics/Plot2D
LaunchVehicle: Utilities/LaunchConstants
Math: Integration/RK4TI
Math: Linear/Mag