Falcon 9's stability

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Lukasino42

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If you look at the Falcon 9 rocket, it is basically a straight pipe with an enlarged nose. I've been told that the center of gravity of a rocket must be above the center of aerodynamic pressure, so how come the Falcon 9 (or really any other rocket that seems to be breaking this rule) is a stable rocket? The center of aerodynamic pressure must be quite high due to the shape of the rocket's nose, so what's going on here?
 
Compare balancing a broom on your finger tip to a tight-rope walker. For the broom, you must constantly adjust your finger so that the broom is above it. For the tight-rope walker, they have a long balance bar that keeps the center of gravity below the "center of pressure" (not really, but simple example) The broom is like the Falcon-9 which uses active guidance by gimballed motors. The tight-rope walker is like our model rockets that must keep the CP and CG relationships in order to be stable.
 
Also, aerodynamically cylinders generally don't produce lift. The nosecone and transition will contribute to the lift, but the tubes not much at all, if I am remembering an aerodynamic text I read a while back.
 

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