There is an argument raging about the effect of barrel temperature on POI. That's taking place on a paid thread that I choose not to join. But maybe the following comments will add some light to the discussion:
Guns do what guns do. Sometimes we can do a pretty good job of predicting that with mathematical models. At least a little bit of modeling will tend to get us into the right ballpark, and cut down on the amount of bench time it takes to investigate an idea. It also helps us set reasonable expectations about how much work it will be to extract the information we want.
There are at least two mechanisms by which barrel temperature affects POI. One is that it affects the time the bullet is in the barrel, therefore changing the bullet's exit point vs. barrel whip. The other is that barrel temperature affects pressure and muzzle velocity, raising POI as temperature goes up, just by simple external ballistics.
The first of these is very hard to model. The second is fairly easy. So I'm going to neglect the first, and just talk about the second. In real life, what we'll see is the two effects acting combined.
Barrel temperature does affect pressure and muzzle velocity. I've very thoroughly demonstrated that in two published articles. Ambient temperature matters only in that it affects the temperature of steel, lead, and brass.
Using the RSI exterior ballistic software, we can estimate the trajectory of a projectile. It's well known that the simple G1 model isn't perfectly accurate, but it will give us a good estimate to start with. A Sierra 180 grain SBT with a BC of .407 and MV of 2800 FPS will impact at -45.43" at 500 yards.
Raising the barrel temperature will change the MV, and for a 20 degree F increase, 34 FPS is at least a decent estimate of the change we might see.
Adding 34 to 2800 FPS, we get a new MV of 2834 FPS. This projectile is estimated to impact at -44.21 FPS, 1.22" higher than before.
To me, the interesting question is, how hard would it be to detect this shift? The answer depends on how good the rifle is.
A 1 MOA system is going to scatter shots over about a 5" circle at 500 yards, assuming a perfect shooter and still air. The shots will have a standard deviation above and below the mean POI of about 2.5". Using the Power and Sample Size function in QuikSigma, we can determine that with a one-tailed T Test, we can detect a 1.22" shift with two samples of 73 shots each, one group shot at temperature A, and the other shot at temperature A + 20 F.
A 1/2 MOA system will have a vertical standard deviation of about 1.25", making the vertical shift detectable with two groups of only 19 shots each. A 1/4 MOA rifle gets us down to samples of only 6 shots each.
So does barrel temperature have an effect on POI? Absolutely. But it's not a huge effect, and you'd have to shoot a very carefully controlled experiment with quite a few shots in order to detect it, unless you're shooting benchrest competition at long distances.
Attempts to demonstrate the effect with samples of only 5-10 shots with a 1/2 MOA rifle are likely to end in frustration.
Also remember, we have considered only one of at least two effects at work here.
Guns do what guns do. Sometimes we can do a pretty good job of predicting that with mathematical models. At least a little bit of modeling will tend to get us into the right ballpark, and cut down on the amount of bench time it takes to investigate an idea. It also helps us set reasonable expectations about how much work it will be to extract the information we want.
There are at least two mechanisms by which barrel temperature affects POI. One is that it affects the time the bullet is in the barrel, therefore changing the bullet's exit point vs. barrel whip. The other is that barrel temperature affects pressure and muzzle velocity, raising POI as temperature goes up, just by simple external ballistics.
The first of these is very hard to model. The second is fairly easy. So I'm going to neglect the first, and just talk about the second. In real life, what we'll see is the two effects acting combined.
Barrel temperature does affect pressure and muzzle velocity. I've very thoroughly demonstrated that in two published articles. Ambient temperature matters only in that it affects the temperature of steel, lead, and brass.
Using the RSI exterior ballistic software, we can estimate the trajectory of a projectile. It's well known that the simple G1 model isn't perfectly accurate, but it will give us a good estimate to start with. A Sierra 180 grain SBT with a BC of .407 and MV of 2800 FPS will impact at -45.43" at 500 yards.
Raising the barrel temperature will change the MV, and for a 20 degree F increase, 34 FPS is at least a decent estimate of the change we might see.
Adding 34 to 2800 FPS, we get a new MV of 2834 FPS. This projectile is estimated to impact at -44.21 FPS, 1.22" higher than before.
To me, the interesting question is, how hard would it be to detect this shift? The answer depends on how good the rifle is.
A 1 MOA system is going to scatter shots over about a 5" circle at 500 yards, assuming a perfect shooter and still air. The shots will have a standard deviation above and below the mean POI of about 2.5". Using the Power and Sample Size function in QuikSigma, we can determine that with a one-tailed T Test, we can detect a 1.22" shift with two samples of 73 shots each, one group shot at temperature A, and the other shot at temperature A + 20 F.
A 1/2 MOA system will have a vertical standard deviation of about 1.25", making the vertical shift detectable with two groups of only 19 shots each. A 1/4 MOA rifle gets us down to samples of only 6 shots each.
So does barrel temperature have an effect on POI? Absolutely. But it's not a huge effect, and you'd have to shoot a very carefully controlled experiment with quite a few shots in order to detect it, unless you're shooting benchrest competition at long distances.
Attempts to demonstrate the effect with samples of only 5-10 shots with a 1/2 MOA rifle are likely to end in frustration.
Also remember, we have considered only one of at least two effects at work here.