Group convergence with .22LR - yea or nay?

grauhanen

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It's been claimed that with .22LR groups can be smaller further out in terms of MOA than they are closer in.

Among other things, CGN poster Shorty says Bryan Litz is wrong when he says convergence doesn't happen (except by accident). According to Shorty,

Many shooters make the erroneous assumption that dispersion increases with distance, that group size only becomes larger as distance grows. This is incorrect.

Beginning from the muzzle, dispersion increases until about halfway to the ideal distance at which convergence occurs. From about the halfway point up to the ideal distance group dispersion begins decreasing again in terms of MOA.


In other words, Shorty claims that convergence -- when groups get smaller at longer distances in terms of MOA -- is a regular thing. This is not the same as the occasional instances where in testing facilities group sizes at 100 meters are smaller than at 50 with the same rounds as this occurs randomly and not by design.

For more on Shorty's ideas, see the following thread where he was specifically invited to elaborate his views https://www.canadiangunnutz.com/for...-ammo-barrel-behaviour.2537576/#post-20913956

If anyone is aware of reliable information either in print or online that will support Shorty's idea, please let readers know. Shorty, if you know of any reliable sources of information in print or online please post it. Do any other "experts" or ballistics professionals agree with Shorty?

This may well be a short thread.
 
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glen nas grossly mis-stated shorty’s thoughts
Sadly 😢

rather than try to explain it in great detail let me saymthis

1000 yard shooters have seen this for a decade or more and call it something else

POSITIVE COMPENSATION works and the groups are smaller at distance or AT LEAST CAN BEFROM TIME TO TIME

LITZ was indeed weong with his INITIAL FINDINGS DUE TO IMPROPER METHODOLOGY which was shown to him many times

Litz wanted to get his book out quickly and was a little quick to end his testing

anyway it is far above almost all who venture here to discuss with great certainty the proposition you have put forward to refute or get under shorty’s skin

perhaps your efforts are better spent on other topics
 
With no evidence or references, I can not imagine a force acting on a bullet in flight to cause it to "bend" towards a common point that other bullets converge towards. However, I do believe there is such a thing in the rifle barrel called "Compensation" - I think that was the point that various target shooters made with SMLE light barrels - back in the day when militaries provided standardized .303 British ball ammo - the shooters often had a heavier barrel #4 for 300 yard targets, but preferred to use an SMLE for the longer range shooting (800, 900 and 1,000 yard targets). I believe the bullet launch angle was steeper for slower moving rounds and shallower for faster rounds - hence they tended to "converge" at distance - the slower had more drop and the faster had less drop. It is related to barrel residence time and the position of the muzzle (due to barrel vibration) at bullet exit. It was not common to win using a #4 for long range and an SMLE for the "short" range targets, so the "compensation" must have needed some distance of bullet flight to become apparent.

That would have also relied on some variation in muzzle velocity - standard 303 British Ball used to be 2440 fps plus or minus 40 fps. So, a "slow" round was circa 2400 fps and a "fast round" was circa 2480 fps, and both would have met standard.
 
I am not sure what the cause is (most likely me) but I achieve better groups at 100 yards than 75 yards so I do wonder about this......

Other than at gophers I've not have the opportunity to shoot past 100 yards in a long time but I do wonder about the whole 100 yd vs 75 yd conundrum.
 
People shouldn't confuse "better groups" as being smaller at distance, Shorty clearly stated in terms of MOA, in which 1 MOA increases in size with distance, but remains 1 MOA at all distances. Naturally, groups will increase in size with distance. Shorty provided a testing procedure anyone can perform themselves to see if their MOA results increase up to a certain point, then converge, then increase again. I have not done such a test myself, so I will only support him insofar as the theory is valid and has merit given physics and barrel behaviour. See Geoffrey Kolbe's research on barrel vibration and bullet exit timing if one has doubts about launch angle and and vertical dispersion, unless it is demonstrated his work is unreliable.

I suspect some have a difficult time wrapping their heads around concepts, particularly when it is extraordinarily difficult, if not impossible, to isolate testing to that variable alone and demonstrate it's validity to the stringent standards some hold. To some, if that cannot be done, then the concept is completely voided in their mind. Who here has the equipment to measure barrel vibrations and exit timing, and has ammo that is so perfect so as to not cloud the data with noise from wayward out of spec rounds, to demonstrate this concept to such a person's satisfaction? Moreover, why wouldn't the doubter devise a test and perform it themselves in such a manner so as to trivialize the "noise" inherent to rimfire ammunition and demonstrate to themselves first hand if the concept is valid or not? Perhaps they just enjoy needless drama and don't actually care about learning anything.
 
No evidence yet for Shorty's claim that convergence is a regular thing with .22LR. But it hasn't been long.

Perhaps someone can find evidence that supports the idea that group size (in terms of MOA) can regularly be smaller at about twice the distance.

Unfortunately it may be very hard to find.

What Shorty needs is outside information in print or online that can help his case. While the absence of supporting information doesn't necessarily mean that he is mistaken, it might indicate that there are few, if any, serious shooters/ballisticians who agree with him.

Without such information all Shorty has is his claim that he's right about .22LR groups being regularly able to get better with distance. One guy making an assertion doesn't make it true.
 
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len nas grossly mis-stated shorty’s thoughts
Sadly 😢

rather than try to explain it in great detail let me saymthis

1000 yard shooters have seen this for a decade or more and call it something else
Jefferson, you are aware this thread is about .22LR which is not generally not shot at 1000 yards. Let's stick to discussing rimfire.

In any case your assertion that I've "grossly mis-stated" Shorty's idea is itself flagrant misrepresentation. Shorty sprinkled his notions in various threads over the months and I summarized many of the relevant ones. See the link below. Shorty didn't correct or elaborate on the summary.

https://www.canadiangunnutz.com/for...-ammo-barrel-behaviour.2537576/#post-20913956

What is needed is outside information, online or in print, that can support Shorty. Does anyone have any relevant to .22LR?
 
Shorty provided a testing procedure anyone can perform themselves to see if their MOA results increase up to a certain point, then converge, then increase again. I have not done such a test myself, so I will only support him insofar as the theory is valid and has merit given physics and barrel behaviour.
The theory has zero merit given physics and barrel behaviour. None of those differ based on the range you’re shooting at— the gun can’t know this. The bullets travel ballistically and the math shows that there is a constant angular dispersion for both parabolic and wind-resistant trajectories. Left/right dispersion obviously has to be constant with angle, the bullets travel in straight lines…

The reason people achieve better angular groups at distance is because the target is smaller and they can aim more carefully. When it is close it is harder to distinguish a fine aiming point.
 
The theory has zero merit given physics and barrel behaviour. None of those differ based on the range you’re shooting at— the gun can’t know this. The bullets travel ballistically and the math shows that there is a constant angular dispersion for both parabolic and wind-resistant trajectories. Left/right dispersion obviously has to be constant with angle, the bullets travel in straight lines…

The reason people achieve better angular groups at distance is because the target is smaller and they can aim more carefully. When it is close it is harder to distinguish a fine aiming point.
I suppose Shorty will need to clarify what he is talking about, what I interpret from him re: convergence is limited to the vertical axis, because this is the plane that launch angle and barrel vibration operates on. Horizontal dispersion is not considered in Shorty's assertion, as per my interpretation.

The imperfect nature of 22LR bullets and the centre of gravity variation that they have imparts random and unpredictable divergent forces on them. People can struggle to hold concepts in paradox, where two seemingly contradictory things can both be true at the same time. Do we have perfect centre of gravity bullets that we can use to demonstrate what Shorty talks about? If we don't, then we are not able to isolate the variables to demonstrate the concept, any testing performed will be clouded by other factors. It then becomes a question of whether or not the effects of the concept are apparent enough to shine through the noise of the data gathered.

Is anyone contesting that the statement where one slower projectile launched at a higher angle will diverge, converge, then diverge again from a faster projectile launched at a shallower angle is false? This seems like pretty basic physics to me. Do people think that it is not possible for this to be occurring, at least to some degree, while other things are also occurring that may overshadow the effect? This seems to be the sticking point for some minds, because factor "X" counteracts and overshadows factor "Y", factor "Y" is therefore false and not occurring. Is that true though?
 
I suppose Shorty will need to clarify what he is talking about, what I interpret from him re: convergence is limited to the vertical axis, because this is the plane that launch angle and barrel vibration operates on. Horizontal dispersion is not considered in Shorty's assertion, as per my interpretation.

The imperfect nature of 22LR bullets and the centre of gravity variation that they have imparts random and unpredictable divergent forces on them. People can struggle to hold concepts in paradox, where two seemingly contradictory things can both be true at the same time. Do we have perfect centre of gravity bullets that we can use to demonstrate what Shorty talks about? If we don't, then we are not able to isolate the variables to demonstrate the concept, any testing performed will be clouded by other factors. It then becomes a question of whether or not the effects of the concept are apparent enough to shine through the noise of the data gathered.

Is anyone contesting that the statement where one slower projectile launched at a higher angle will diverge, converge, then diverge again from a faster projectile launched at a shallower angle is false? This seems like pretty basic physics to me. Do people think that it is not possible for this to be occurring, at least to some degree, while other things are also occurring that may overshadow the effect? This seems to be the sticking point for some minds, because factor "X" counteracts and overshadows factor "Y", factor "Y" is therefore false and not occurring. Is that true though?
Why is the higher angle projectile lower velocity?

The bullets leave the barrel at the same velocity regardless of whip angle. Do the math— get the distance between two parabolic paths at different angles, apply the small angle approximation. On a flat range (a fair assumption) the angular dispersion is constant at every distance.
 
Not to interrupt your ongoing conversation but do your theories take into effect precession and coriolis effect? The longer it flies the more it tends to precess or move in the same direction as its spin. Spin right; precess right. Coriolis effect would affect it less but in long , long range shooting like artillery for example it would have a measurable effect which would differ with latitude. Not trying to stir the hornets nest, just wondering if these may be the reasons why you may be experiencing things differently.
 
No evidence yet for Shorty's claim that convergence is a regular thing with .22LR. But it hasn't been long.

Perhaps someone can find evidence that supports the idea that group size (in terms of MOA) can regularly be smaller at about twice the distance.

Unfortunately it may be very hard to find.

What Shorty needs is outside information in print or online that can help his case. While the absence of supporting information doesn't necessarily mean that he is mistaken, it might indicate that there are few, if any, serious shooters/ballisticians who agree with him.

Without such information all Shorty has is his claim that he's right about .22LR groups being regularly able to get better with distance. One guy making an assertion doesn't make it true.
Not only have I shared targets with you here from silhouette distance testing (40 m, 60 m, 77 m, and 100 m) that show this happening with some ammo converging at pigs at 60 m and some ammo converging at turkeys at 77 m from the same gun, I have given you a step-by-step method to test this for yourself many times, since you seem incapable of believing anyone but yourself. Your selective memory is almost as bad as your sieve memory. You can literally test this yourself. Anyone can. It isn't difficult. Like I've told you many times, go shoot at 10-yard increments and see for yourself. Your dismissal of both theoretical and practical evidence which has been presented to you is hilarious. You have benchrest guns with tuners. Go shoot in 10-yard increments with the tuner installed as normal and with it removed and compare your results. The tuner moves the convergence distance. That's its whole purpose. I never replied in your other thread because I was tired of your nonsense, as I am growing again. You are either ignoring reality or are incapable of fully understanding the topic being discussed. Both cases make it a waste of time to continue discussing it with you. You think you are correct no matter what you are presented with, so you ignore what you are presented with, including directions on how to test it for yourself. That makes time and effort spent on you a waste of time and effort. Hence, no reply over there at the time. Nothing gets through closed doors, so there's little point in trying to get anything through them. You've shown time and time again that when you think there's no explanation for something, no explanation must exist. Somehow, you already know everything, so if you don't know something, that something must be wrong otherwise you'd already know it. It's silly. I don't know everything. You don't know everything. Bryan Litz doesn't know everything. We all know things the other may not. The whole point of sites like this is to gather all of our knowledge and see what makes the most sense, what should be kept and what should be discarded. Ignoring information that might prove helpful does not make sense. So I don't know why you do so. Sometimes I try to help you learn something new. Sometimes I tire of your shenanigans. Most especially when I've explained the same idea 17 different ways so that literally anyone should be able to understand at least one of the explanations and included ways you can test the idea for yourself and you still run around with your fingers in your ears screaming la la la la la la la.

The theory has zero merit given physics and barrel behaviour. None of those differ based on the range you’re shooting at— the gun can’t know this. The bullets travel ballistically and the math shows that there is a constant angular dispersion for both parabolic and wind-resistant trajectories. Left/right dispersion obviously has to be constant with angle, the bullets travel in straight lines…

The reason people achieve better angular groups at distance is because the target is smaller and they can aim more carefully. When it is close it is harder to distinguish a fine aiming point.
The theory relies on physics and barrel behaviour and how launch angles change due to them. We're not talking about these things magically changing when you change target distance. We're talking about given barrel/ammo behaviour dictating an ideal target distance specifically because the barrel does NOT change what it does from shot to shot. As shown in another thread, the barrel vibrates in the same fashion for every shot, much like a tuning fork vibrates in the same fashion with every strike:

muzzle_angle_vs_time-rifle-stats-win52d-0-factory-barrel-bare-png.1051978


This shows how the barrel's vibration cycle is adding to or subtracting from your set launch angle over time during the firing cycle. The bullet's muzzle velocity and where along that curve it exits determines its ultimate launch angle and where it ultimately hits on target. A given ammo will have a window of average exit time determined by all the variance involved concerning all of its components. As shown in these real-world measurements, that exit time is not fixed, but will vary from shot to shot:

launch_time_variation-jpg.1051585


Shots with the same muzzle velocity can have differing exit times. This is one of the sources of variance on target. Differing exit times mean differing launch angles. Differing launch angles with the same muzzle velocity mean differing points of impact on target. This graph shows that there is a general trend of faster shots exiting earlier than slower shots with a difference on the order of about 1/375 of a millisecond per 1-foot-per-second difference in velocity. Every single shot does not follow the trend exactly because of variance in components giving each shot slightly different acceleration characteristics, but on average, that is the trend they follow. In the 20-shot example shown there is a 0.1 ms exit time window for those shots. If you look at the first graph you will see that the barrel is moving up/down quite a bit within a 0.1 ms window. In the case of that particular experiment, he found that shots were exiting near the 2.15 ms mark. In the case of this barrel movement graph, a 0.1 ms window centred around the 2.15 ms mark would seem to put the majority of shots exiting on that long upslope. That is going to give it a natural convergence point at a given distance for a given ammo based on its muzzle velocity range and the rate of swing for that upslope. And you'd have to do an incremental distance test to figure out where that convergence is happening. This may or may not get along very well with the target distance at which you happen to be shooting. Adding something like a Harrell tuner can change that barrel trace in a manner such as this:

muzzle_angle_vs_time-rifle-stats-Win52D-1-factory barrel tuner -37.png

Now some of the characteristics of the line have been changed due to the added muzzle mass of the tuner. The most notable thing being the angle of the upslope after 2 ms not being as sharp. Instead of taking less than 0.25 ms for the upswing to cross the 0.5 MOA mark it would now take about 0.5 ms to reach the same point in its swing. That is going to change the distance at which convergence takes place for that ammo because the muzzle is rising at a slower pace, resulting in a different amount of launch angle change during the exit time window for that ammo. The faster the rate up upswing, the further away the convergence happens for a given ammo. Benchrest shooters that shoot at 50 yards take a barrel design that will give a natural convergence distance beyond their usual 50-yard targets, in other words, a barrel that is swinging too fast for their target distance. And then they take a suitable tuner to slow it down into just the right upswing pace region to move that convergence distance to coincide with their 50-yard target distance. That's how they minimize elevation variance on target. Match upswing rate and target distance. You can't just put any tuner on any barrel. You need to start with a barrel that's too fast. And you need to slow it down just enough to put it into the right region. You're not going to shoot/approach perfect 2500 scores at 50 yards with a barrel/ammo combination that converges at 85 yards. You're going to have too much vertical dispersion at 50 yards to get perfect scores if convergence naturally takes place at 85 yards.
 
Why is the higher angle projectile lower velocity?
Shorty is an advocate of positive compensation, so his ideal scenario is to cause the barrel to vibrate in such a way in relation to bullet exit timing that the slower projectiles get launched on a higher angle than faster projectiles so that they converge at the distance your target is at.

The bullets leave the barrel at the same velocity regardless of whip angle.
Do the math— get the distance between two parabolic paths at different angles, apply the small angle approximation. On a flat range (a fair assumption) the angular dispersion is constant at every distance.
Where can I get some of this mythic quality ammo that shoots the same velocity? I keep getting 40+fps Extreme Spreads with the lots I've been sold, I think I'm getting ripped off :(

A number of conditions can occur with respect to bullet exit timing, positive compensation mode as described above, negative compensation where faster projectiles launch at the higher angle, and let's call it a null or dwell mode where the launch angle is the same regardless of velocity.
 
Why is the higher angle projectile lower velocity?

The bullets leave the barrel at the same velocity regardless of whip angle. Do the math— get the distance between two parabolic paths at different angles, apply the small angle approximation. On a flat range (a fair assumption) the angular dispersion is constant at every distance.
Geoffrey Kolbe's test that I linked to earlier showed that on average, for the target velocity ammo he was using, muzzle exit timing changed by 1/375 of a millisecond for every 1 foot per second change in muzzle velocity. A 1060 fps shot left 10/375 milliseconds earlier than a 1050 fps shot. If the barrel is moving in an upswing during the bullet exit window that means faster shots have a smaller launch angle and slower shots have a larger launch angle. Perhaps the 1060 fps shot left at a launch angle of 10 MOA. The 1050 fps shot left 10/375 milliseconds later, and by that point in time the upswinging barrel had swung upwards by 0.16 MOA, giving that slower shot a launch angle of 10.16 MOA. That's why the slower shot got a larger launch angle. The barrel is swinging upwards, and the slower shot took longer to exit.

As for postive/negative compensation:
muzzle_angle_vs_time-rifle-stats-Win52D-0-factory barrel bare-positive-negative-compensation.png

If shots have an exit window putting them between the green lines that will give positive compensation where faster shots will have a smaller launch angle and slower shots will have a larger launch angle, positively compensating in launch angles for their velocities in order to give better results on target. This is helpful. If shots have an exit window putting them between the red lines that will give negative compensation where faster shots will have a larger launch angle and slower shots will have a smaller launch angle, negatively compensating in launch angles for their velocities resulting in worse performance on target. This is not helpful. And if the exit window straddles a portion of the barrel trace that contains both downswinging motion and upswinging motion this is also less than ideal. Ideally, you want all shots to exit during an upswing. And the perfectly ideal situation is having all shots leave while the barrel is in an upswinging motion *and* the upswinging motion is at a rate that's perfect for your target distance. Regardless of your target distance, you never want shots leaving while the barrel is swinging downwards, as this always hurts. Shots leaving while the barrel is swinging upwards always helps. The rate of upswing determines the target distance where it will help the most. It still helps at other distances, it just helps less the further you are from that ideal distance.
 
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Not to interrupt your ongoing conversation but do your theories take into effect precession and coriolis effect? The longer it flies the more it tends to precess or move in the same direction as its spin. Spin right; precess right. Coriolis effect would affect it less but in long , long range shooting like artillery for example it would have a measurable effect which would differ with latitude. Not trying to stir the hornets nest, just wondering if these may be the reasons why you may be experiencing things differently.
Those effects aren’t relevant in the regime being discussed. And without doing the math I don’t think they result in convergence…
Shorty is an advocate of positive compensation, so his ideal scenario is to cause the barrel to vibrate in such a way in relation to bullet exit timing that the slower projectiles get launched on a higher angle than faster projectiles so that they converge at the distance your target is at.

Where can I get some of this mythic quality ammo that shoots the same velocity? I keep getting 40+fps Extreme Spreads with the lots I've been sold, I think I'm getting ripped off :(

A number of conditions can occur with respect to bullet exit timing, positive compensation mode as described above, negative compensation where faster projectiles launch at the higher angle, and let's call it a null or dwell mode where the launch angle is the same regardless of velocity.
Where can I find the magic gun that whips the exact same way for every single bullet that is also a different velocity?
Geoffrey Kolbe's test that I linked to earlier showed that on average, for the target velocity ammo he was using, muzzle exit timing changed by 1/375 of a millisecond for every 1 foot per second change in muzzle velocity. A 1060 fps shot left 10/375 milliseconds earlier than a 1050 fps shot. If the barrel is moving in an upswing during the bullet exit window that means faster shots have a smaller launch angle and slower shots have a larger launch angle. Perhaps the 1060 fps shot left at a launch angle of 10 MOA. The 1050 fps shot left 10/375 milliseconds later, and by that point in time the upswinging barrel had swung upwards by 0.16 MOA, giving that slower shot a launch angle of 10.16 MOA. That's why the slower shot got a larger launch angle. The barrel is swinging upwards, and the slower shot took longer to exit.
I don’t dispute barrel whip because I struggle to characterize any other plausible behaviour that produces inaccuracy.

But what you need to prove is:
1. It is not strongly tied to bullet velocity— if it whips differently for each bullet (why always up? What causes left/right then?) then the theory is moot
2. Bullets on the upswing are always travelling *slower*

I see no reason to make these particular assumptions. In my model, the velocity of the bullet and the angle of the barrel are independent variables so they have no average effect.

To add. My understanding of barrel whip is nodes/antinodes. The question is how much the barrel is moving when the bullet leaves the barrel, that causes changes in accuracy with a tuner. It doesn’t whip the same way every time though.
 
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Not only have I shared targets with you here from silhouette distance testing (40 m, 60 m, 77 m, and 100 m) that show this happening with some ammo converging at pigs at 60 m and some ammo converging at turkeys at 77 m from the same gun, I have given you a step-by-step method to test this for yourself many times, since you seem incapable of believing anyone but yourself. Your selective memory is almost as bad as your sieve memory. You can literally test this yourself. Anyone can. It isn't difficult. Like I've told you many times, go shoot at 10-yard increments and see for yourself. Your dismissal of both theoretical and practical evidence which has been presented to you is hilarious. You have benchrest guns with tuners. Go shoot in 10-yard increments with the tuner installed as normal and with it removed and compare your results. The tuner moves the convergence distance. That's its whole purpose. I never replied in your other thread because I was tired of your nonsense, as I am growing again. You are either ignoring reality or are incapable of fully understanding the topic being discussed. Both cases make it a waste of time to continue discussing it with you. You think you are correct no matter what you are presented with, so you ignore what you are presented with, including directions on how to test it for yourself. That makes time and effort spent on you a waste of time and effort. Hence, no reply over there at the time. Nothing gets through closed doors, so there's little point in trying to get anything through them. You've shown time and time again that when you think there's no explanation for something, no explanation must exist. Somehow, you already know everything, so if you don't know something, that something must be wrong otherwise you'd already know it. It's silly. I don't know everything. You don't know everything. Bryan Litz doesn't know everything. We all know things the other may not. The whole point of sites like this is to gather all of our knowledge and see what makes the most sense, what should be kept and what should be discarded. Ignoring information that might prove helpful does not make sense. So I don't know why you do so. Sometimes I try to help you learn something new. Sometimes I tire of your shenanigans. Most especially when I've explained the same idea 17 different ways so that literally anyone should be able to understand at least one of the explanations and included ways you can test the idea for yourself and you still run around with your fingers in your ears screaming la la la la la la la.


The theory relies on physics and barrel behaviour and how launch angles change due to them. We're not talking about these things magically changing when you change target distance. We're talking about given barrel/ammo behaviour dictating an ideal target distance specifically because the barrel does NOT change what it does from shot to shot. As shown in another thread, the barrel vibrates in the same fashion for every shot, much like a tuning fork vibrates in the same fashion with every strike:

muzzle_angle_vs_time-rifle-stats-win52d-0-factory-barrel-bare-png.1051978


This shows how the barrel's vibration cycle is adding to or subtracting from your set launch angle over time during the firing cycle. The bullet's muzzle velocity and where along that curve it exits determines its ultimate launch angle and where it ultimately hits on target. A given ammo will have a window of average exit time determined by all the variance involved concerning all of its components. As shown in these real-world measurements, that exit time is not fixed, but will vary from shot to shot:

launch_time_variation-jpg.1051585


Shots with the same muzzle velocity can have differing exit times. This is one of the sources of variance on target. Differing exit times mean differing launch angles. Differing launch angles with the same muzzle velocity mean differing points of impact on target. This graph shows that there is a general trend of faster shots exiting earlier than slower shots with a difference on the order of about 1/375 of a millisecond per 1-foot-per-second difference in velocity. Every single shot does not follow the trend exactly because of variance in components giving each shot slightly different acceleration characteristics, but on average, that is the trend they follow. In the 20-shot example shown there is a 0.1 ms exit time window for those shots. If you look at the first graph you will see that the barrel is moving up/down quite a bit within a 0.1 ms window. In the case of that particular experiment, he found that shots were exiting near the 2.15 ms mark. In the case of this barrel movement graph, a 0.1 ms window centred around the 2.15 ms mark would seem to put the majority of shots exiting on that long upslope. That is going to give it a natural convergence point at a given distance for a given ammo based on its muzzle velocity range and the rate of swing for that upslope. And you'd have to do an incremental distance test to figure out where that convergence is happening. This may or may not get along very well with the target distance at which you happen to be shooting. Adding something like a Harrell tuner can change that barrel trace in a manner such as this:

View attachment 1053111

Now some of the characteristics of the line have been changed due to the added muzzle mass of the tuner. The most notable thing being the angle of the upslope after 2 ms not being as sharp. Instead of taking less than 0.25 ms for the upswing to cross the 0.5 MOA mark it would now take about 0.5 ms to reach the same point in its swing. That is going to change the distance at which convergence takes place for that ammo because the muzzle is rising at a slower pace, resulting in a different amount of launch angle change during the exit time window for that ammo. The faster the rate up upswing, the further away the convergence happens for a given ammo. Benchrest shooters that shoot at 50 yards take a barrel design that will give a natural convergence distance beyond their usual 50-yard targets, in other words, a barrel that is swinging too fast for their target distance. And then they take a suitable tuner to slow it down into just the right upswing pace region to move that convergence distance to coincide with their 50-yard target distance. That's how they minimize elevation variance on target. Match upswing rate and target distance. You can't just put any tuner on any barrel. You need to start with a barrel that's too fast. And you need to slow it down just enough to put it into the right region. You're not going to shoot/approach perfect 2500 scores at 50 yards with a barrel/ammo combination that converges at 85 yards. You're going to have too much vertical dispersion at 50 yards to get perfect scores if convergence naturally takes place at 85 yards.
ignoring the guy who obviously has a hardon to disprove your idea… I’m genuinely interested. Do you have data that suggests that you can reliably put lower velocities on the upswing? Multiple shots measured simultaneously with deflection and velocity showing this correlation?
 
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