Jeff Siewert

All right.

Okay.

Gyroscopic stability equation.

So there's a few things in here that, you know, folks might think about when they're going to load bullets and whatnot and, or think about what I got to do to get my bullet quote unquote stable.

So in the, and this is not Miller's stability equation.

This is the gyroscopic stability equation.

This is how, how the professionals compute the stability.

Okay.

So in the numerator, there's a two-factor in there, and then there's the polar moment of inertia squared, I sub X, and then the spin squared.

So if you increase the twist of the gun, the stability goes up by the square of the spin.

So that's got a pretty big lever there, okay?

In the denominator, you've got pi.

You know, that's everybody's favorite ratio of diameter, circumference, and the circle.

You have rho zero, which is the air density at the gun muscle.

You have I sub y, which is the transverse moment of inertia.

So that's the resistance ratio.

of the projectile to being dumped over perpendicular to the longitudinal axis.

We'll talk about that more in a minute.

And then you have C sub m alpha, that's a pitching moment coefficient derivative.

So, and we'll talk about that in a minute too.