Re: 375 CHEY TAC twist rate
CMM,
Both excessive, and inadequate, static stability (spin) generate conditions causing dynamic "nose up" instability relative to the trajectory, as traced through the CG, which are exaggerated in high aspect-ratio (6.0+ caliber) projectiles. The actual mechanics between the two situations are quite different however.
The stability issue Augustus experienced, from his 8" twist barrel, has to do with the destabilizing, but ever present, "overturning moment" induced by the center-of-pressure located forward of the center-of-gravity, overcoming the counter-force of gyroscopic resistance to axis change about the CG. All spin stabilized projectiles balance these two forces in a finely tuned dynamic tension which "tracks" the trajectory path in conjunction with the tail configuration's ability to act as the aero-ballistic equivalent of a horizontal stabilizer.
When the gyroscopic force decays more rapidly than the overturning moment, the aerodynamic "lift" is immediately translated into yaw (side angle off-set) as a consequence of ninety degree out-of-phase shift in pertubation force. This is the natural reaction of any gyroscopic axis altered by an outside force. A "coning" precession is initiated at this point affecting projectile accuracy initially, and culminating as a "tumbling" motion in which the bullet flies tail forward in a reverse "coning" orientation. This can take place at any location in a projectile's trajectory depending on the transitional balance of counter-forces.
The dynamic instability induced by "over-revving" occurs only at the far end of a projectile's trajectory. In this situation, static overstability prevents "tracking" resulting in a drag generating, nose-up, attitude which culminates in an abrupt lateral roll in the direction of spin and, once more, a reverse coning orientation.
... and this is the simplistic explanation of what happens
. Other forces are also at play. That is the reason Augustus (correctly) stated that perfecting the 375-408 cartridge is still in process.
Best,
Noel