Find Optimal Barrel Twist-Rate with Berger Stability Calculator
Berger Twist-Rate Stability Calculator
On the updated Berger Bullets website you’ll find a handy Twist-Rate Stability Calculator that predicts your gyroscopic stability factor (SG) based on mulitiple variables: velocity, bullet length, bullet weight, barrel twist rate, ambient temperature, and altitude. This very cool tool tells you if your chosen bullet will really stabilize in your barrel.
How to Use Berger’s Twist Rate Calculator
Using the Twist Rate Calculater is simple. Just enter the bullet DIAMETER (e.g. .264), bullet WEIGHT (in grains), and bullet overall LENGTH (in inches). On its website, Berger conveniently provides this info for all its bullet types. For other brands, we suggest you weigh three examples of your chosen bullet, and also measure the length on three samples. Then use the average weight and length of the three. To calculate bullet stability, simply enter your bullet data (along with observed Muzzle Velocity, outside Temperature, and Altitude) and click “Calculate SG”. Try different twist rate numbers (and recalculate) until you get an SG value of 1.4 (or higher).
Gyroscopic Stability (SG) and Twist Rate
Berger’s Twist Rate Calculator provides a predicted stability value called “SG” (for “Gyroscopic Stability”). This indicates the Gyroscopic Stability applied to the bullet by spin. This number is derived from the basic equation: SG = (rigidity of the spinning mass)/(overturning aerodynamic torque).
If you have an SG under 1.0, your bullet is predicted not to stabilize. If you have between 1.0 and 1.1 SG, your bullet may or may not stabilize. If you have an SG greater than 1.1, your bullet should stabilize under optimal conditions, but stabilization might not be adequate when temperature, altitude, or other variables are less-than-optimal. That’s why Berger normally recommends at least 1.5 SG to get out of the “Marginal Stability” zone.
In his book Applied Ballistics For Long-Range Shooting, Bryan Litz (Berger Ballistician) recommends at least a 1.4 SG rating when selecting a barrel twist for a particular bullet. This gives you a safety margin for shooting under various conditions, such as higher or lower altitudes or temperatures. Try changing the altitude and temperature in the calculator and you will see that the SG can increase or decrease when these environmental factors change. Under optimal circumstances you should aim for a 1.4, that way if you change circumstances you are still over 1.1.
Why Optimal Stabilization is Important
If a bullet doesn’t stabilize it is not going to be accurate and result in a lower-than-than predicted Bullet Coefficient (BC). If your SG is low, your bullet can fly with some amount of pitching and yawing. If your SG is really low, you can expect the bullet to simply tumble.
Erik Dahlberg rifling illustration courtesy FireArmsID.com.
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Tags: Barrel, Berger Bullets, Bryan Litz, Spin, Stabilization, Twist
This Sg application is an extrapolation of the Miller formula, found elsewhere on this website. In the Miller expression, desired stability for optimum accuracy is expressed as best in the 1.4 – 2.0 range. Berger at 1.5 are I suppose just being conservative.
That Berger understand these principles, and make fine bullets is unquestioned. So why do they not make projectiles in their hunting range, suited to the commonly available commercial twist rate hunting barrels? The 30 cal in either 12 or 10 ” twist is a classic example.
Applying this formula to the Berger hunting bullets in common hunting rifles and conditions, produces numbers that are either above or below these figures for a large number of common hunting rifle/cartridge combinations. This question was asked of Berger’s technical assistance line some weeks ago.
I have yet to receive any response.
Perhaps accurateshooter can help us here.
The silence is deafening …
Wouldn’t the type of bullet (FB, BT, VLD) have to be considered also?
Richard, The BC covers that.