B
bsl135
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Frankly, the effects of lead level in the nose on bullet stability related to yaw, center of gravity and such characteristics is Bryan's realm so I will leave it to him to share his thoughts on the subject.
You asked for it...
I'll offer thoughts from two perspectives:
1. The physical effects of a longer core that's made perfectly (meaning perfectly balanced). This is the 'textbook' answer.
2. The relative potential for dispersion for short vs. long core in light of the inevitable imperfections.
First, the textbook effects...
As Eric stated, a thicker jacket forces the core to be longer. A longer core (all else being equal) results in a lower stability factor for the bullet. Now this is tricky. At first glance, it would seem that the longer core would act to shift the Center of Gravity (CG) forward (which it does). Anyone who's familiar with the mechanics of flight knows that moving the CG forward (in relation to the Center of Pressure (CP)) increases stability. However, bullets are different creatures because they're statically unstable (meaning their CP is ahead of their CG). Bullets overcome their static instability by spinning, which creates gyroscopic stability, which must be strong enough to overcome the static instability. The level of gyroscopic stability that the bullet generates at a given rate of spin is largely dependent on it's mass properties, in particular, the moments of inertia about it's principal axis (spin axis and yaw axis). Making the core longer moves the CG forward which helps stability a little, but more importantly, the longer core increases the moment of inertial about the pitch/yaw axis, and this has a very strong adverse affect on stability. The net effect is a lower stability factor for longer cores. Those interested can refer to the mathematical condition for static stability.
To put this in perspective, I think the cores on the thick jackets are only a few hundredths (~0.020"-0.030") longer than the cores in the thin jackets (Eric please correct me if that's off). This is enough to reduce the stability factor by only a very small amount. Such a small amount that there's no need to recalculate the twist requirements for thick vs thin jackets. We're talking a couple % on something that's got a ~40% safety factor to begin with.
To summarize the 'textbook' considerations; the thicker jackets make for slightly less stable bullets, BUT it's not worth worrying about (don't let me hear about someone ordering a faster twist barrel for their 'thicks' ) A +/- 10 degree change in air temp would have about the same effect on stability as the long vs short core.
It may not be a surprise to some that in this case, consideration of the 'textbook' answer yields no actionable information, but at least that rock's been turned.
Now for part 2: practical considerations related to dispersion...
The front of the core is a place that's not physically confined, and can sometimes take on an 'irregular' surface, or there may be some lead 'flash' residue from the core seating operation...
Eric touched on this already. When the lead extends farther into the nose, any imbalance at the front of the core has less of an effect on the bullets balance (and dispersion) than if the imperfection were farther from the bullet's spin axis. In other words, think of the top of the lead core as an ugly source of imbalance. The wider the top of that lead core is, the more potential it has to throw off the balance of the bullet and cause trouble. By this logic, longer cores (thick jackets) would stand to lead to more precise bullets.
However...
IF, during the act of forming the bullet with the longer core, it leads to a greater amount of imbalance, then it's a toss-up. The 'good' effect of the narrower ugly area may be offset by the fact that it's twice as ugly. Clear as mud, right?
I don't have any certain answers on this one, but these are some things to think about.
There are certainly examples of inherently precise bullets that have very short cores (like the 155.5 Palma's, thick and thin, being discussed currently) and there are also examples of some inherently precise bullets with long cores (like the 210 VLD).
In summary, I can't think of anything that will certainly give one jacket/core type an advantage over the other (in theory or otherwise). Time will have to tell on this one.
Well, now that I've thoroughly confused things, I'm gonna go out and shoot my long-bow for the last hour before dark
Cheers,
-Bryan
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