LysanderXIII I am confused. (Happens a lot) Did I mis-understand or did you state that on over-stabilized bullet will experience a yawing at the nose but the base will remain true in flight?
How can this happen? It would seem that the instant that the nose of the bullet deviates from its flight path that the bullet would take off in that direction. I can understand how the bullet could fly true if the nose of the bullet stays pointed at the target and the rear end dances around a little, but.... I can't understand how the opposite could result in a bullet flying true toward the target.
I await further education.
In that post each sentence was its own paragraph independent of the others.
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The 4th paragraph was in reference to your statement that the nose follows the trajectory and the base wobbles. The opposite is true for all bullets.
Any object's trajectory will be defined by the path of the CG, and any rotation or tumbling motion will be centered on the CG. A tumbling bullet's CG will still follow an arcing trajectory just like a stabilized bullet, just much abbreviated, due to the increased drag.
The nose of the bullet produces lift, this lift creates an 'overturning moment' that tries to flip the nose over and have the bullet fly base first. If the bullet where not spun, this is exactly what would happen*. However, with the bullet spinning, there are gyroscopic forces that tend to force the nose back in line with the flight path, if the gyroscopic stability factor (SG) is 1.00 or greater.
The CG of a spitzer bullet is nearer the base than the nose, since all rotation, both yaw and roll are about the CG, the base moves very little and the nose yaws in a helix through the air.
This is the path of the nose of a bullet (specifically, a M193 Ball), the path of the CG is a straight line through the center of the box.
(The M193 bullet from a 1-12 twist has a neutral dynamic stability, note that the large precessions do not damp out.)
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*Then as the base heads to the front you get all sorts of turbulence and the rotation become unpredictable.
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Next subject: over stabilization. This is an over stabilized bullet:
It is normally only a problem at high angles of departure (howitzers and the like). You can calculate the rpm necessary for this, and for a .75" long .224" diameter bullet, 1-7 twist will not do it. And even if you did "over-stabilize" a rifle bullet, the angles of departure are usually low enough that it will not cause problems.