Why I think the Satterlee and Audette Ladder Tests Work and Why-- You Decide!

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Here's a graph of velocity vs. charge weight for N565 in a 338 LM


1643989992815



Now using the actual velocities from chronograph and putting them in the QL model to back calculate burn rate one can look at burn rate over charge weight and pressure changes over time as charge weight goes up.


1643990120816


First I posted these graphs in a whole recent discussion on Burn Rate on LRH.......but they sparked a question. How the heck can you have a
spike like that in velocity with increasing charge weight and then how the heck can velocity fall or flatten as the charge weight goes up?

Aint that contrary to the laws of physics????

Below are a series of my thoughts and ideas as to why this happened and why it is not contrary to physics and is not just a statistical
abberation either. I like the poster who questioned these curves really want to open up a can of worms and learn from the ensuing discussion!
 
On one hand, it just begs the question why that spike up in velocity in the middle of the curve then the roller coaster down?
This load is N565 which is a very chunky extruded stick powder---I call the N 560 through N570 series of VV powders the chunky monkeys. They are very hard to measure accurately without weighing every charge, even then one can be off a little.

These curves were derived by averaging 4 shot groups. The paticular ES on these 4 shots was 26 with the high being 2950 and the low being 2924. The Standard deviation was 13.05. So it was not a stellar 4 shot group in terms of the quality of the ammo itself.
The ES on most other data points was in a range from 8 -14 with SD's ranging from 4-13. So it as a group was an outlier, indicating to me I could have gotten some bad charge weights in those 4 pieces of ammo. It also could reflect a very hot chamber that I did not allow to cool enough between shot strings thus affecting burn rate and velocities. Could be both.

Now, at a more fundamental level, you are really asking, why does a velocity curve flatten or even go DOWN with increasing charge weight? That seems to violate our simplistic view of the laws of physics doesn't it?

But, as it turns out, the scientific and physics reason why we see these flat spots in velocity and even a downward move in velocity
as we shoot higher charge weights is no mirage, and not solely related to as some will claim insufficient data to be statistically significant. I believe it is real. I have attached a chart I randomly pulled off the internet of velocity vs. charge weight. The flat spots and even some decline with increase in charge weight is shown. You can find thousands of samples like this from shooters right here on LRH or on the internet. It is real. It happens. Here is why.

Here is an excerpt from Chris Long's White Paper on Optimal Barrel Timing Theory which is very much based on barrel harmonics.
Chris is an electronics engineer who is very versed in physics and sin waves common to electronics engineering.

http://www.the-long-family.com/OBT_paper.htm
(This is not a secure sight but it works fine for me.)

The pressure pulse from the gasses in the chamber cause a traveling wave of stress that bounces back and forth along the barrel between receiver and muzzle, slightly changing the bore diameter in the process. Minimum dispersion of the shots will result when the rate of change of the bore diameter is at a minimum, and this dispersion will present the least sensitivity to load variations (charge, seating depth).

So, you have charge weights which fill a certain volume in the case, and are packed in a certain density in that case, and the powder you are using has a certain burn rate character which is also a function of volume, pressure, and density of packing, etc.
We cannot monitor chamber and barrel pressures along the length of the barrel dependent on how much of the powder is changed to gaseous state before exiting the barrel. That whole function depends on your bullet weight, your bullet seating depth, and the length of your particular barrel. But what we can monitor as a proxy for pressure is muzzle velocity. So, this is all related to barrel harmonics and optimum barrel time for your bullet and charge weight. In compressed charges, some powder may actually exit the barrel unburned, especially in a short barrel.

The barrel harmonics from differing charge weights and bullet seating depths result in the sine wave variations up and down the barrel which moves the point of impact of the bullet as the barrel flexes and rotates in different positions at barrel exit of the bullet.
As Long mentions, the barrel undergoes expansion and contraction in frequency cycles as the bullet moves down the barrel. The sonic and pressure waves move back and forth in the steel with pressure in the chamber exceeding 60,000 psig. Because the speed of sound in stainless steel is about 5000 m/s, these waves move back and forth through a well bedded barrel multiple times before the bullet exits.

This affects pressure all along the barrel, waves coming and waves going, and therefore it affects velocity based on whether the bullet encounters pressure waves coming back or leaving the barrel and so the timing and velocity of the bullet leaving the barrel is affected in counter intuitive ways.

Therefore a small change in a charge could produce a counter intuitive failure to increase or decrease the velocity if the difference in the charge caused the bullet move through regions or zones of conflicting pressure interference in the barrel.

Here is another white paper which may prove of interest on this subject.
https://www.frfrogspad.com/loaddev.htm

There are some outstanding references to barrel harmonics work which I have noted in past posts here on LRH which you can search for. The whole subject was barrel tuners and why they work. Videos and white papers.

One of the best is Varmintal.com a Lawrence Livermore retired physicist who has performed finite element modeling analysis on barrels in models. Very good pictures of barrel harmonics in the process. Amazing stuff. Wet noodles?

Varmint Al's Eclectic Web Pages

Now, when you see a dramatic spike like the one you noted in my curve, its probably not all due to barrel harmonics and
may exaggerate the flattening and drop in velocity you will see by increasing charge weights in order to find the
"velocity nodes" where velocity flattens or even goes down some as charge weight goes up. It was more likely due to
bad charge measurement and or a hot chamber or both and some of the physics we discussed above.

One last thought. When you shoot a ladder test, you are looking for the spot where you get the least vertical dispersion in your shots on the target even though the charge weight goes up? Isn't that also counter intuitive in physics? I believe its the same reason you see flat spots or even decreases on the velocity graphs. Same phenomenon. Just different method to find the sweet spot where your loads will be most forgiving over a range of powder charge weights in your specific rifle, with your specific bullet,
for that specific powder. If you graph velocities from your ladder tests, I think you will see the same flat spots, not just smaller vertical strings on the targets themselves.

Now, aren't you glad you opened that can of worms?????:)

That's the answer to why the ladder test and the Satterlee tests work, and it explains as best I can why.

Now here's another LRH thread where this was similarly discussed and you will see some dissenting posters who don't believe this.
They say its not statistically valid. But you can make statistics say anything you want to. Statistically speaking on average every person in the world has one testicle and one breast, right??


www.longrangehunting.com


HELP WITH SATERLEE VELOCITY TEST


No one said it burns inconsistent and then magically is consistent. But the same thing happens every time you run this test with any combo. You find spots where the velocity doesn't change even though the powder is increased. Sometimes for up to 1 grain of charge increase there is no velocity

I started this link on page 7 top......but do read the whole thread. Its very valuable discussion on the whole.
 

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One other thought as the barrel harmonics cause sound and pressure waves to move back and forth in the barrel, the amount of friction the bullet experiences going down the barrel is also not a constant as charge weight is increased. So, small changes in bullet contact with the lands and rifling going down the barrel as it twists and turns due to harmonics may also be contributing factor to these flat spots in the velocity curve. A little more friction due to bullet resistance against an undulating barrel that is not perfectly straight for some milliseconds means less velocity at exit. All of these things play into counter intuitive physics results in the real world.

Here is an excellent source published in 1997 that essentially analyzes the Audette Ladder Test and says it works for the same reasons I explained above.

Man its all physics!


https://2poqx8tjzgi65olp24je4x4n-wpengine.netdna-ssl.com/wp-content/uploads/2012/07/incremental-load-development-method.pdf

By the way, I believe the whole reason you will find a low node, and a high node or several nodes that work where the graph goes up and then flattens again is related to barrel harmonics and sin waves of pressure and sound in the steel barrel.

Different combinations of harmonics are produced with different charge weights, bullet seating, etc. So, you may find a higher velocity node where it all flattens or goes down because the harmonics happened to come back into play again just right.

So as in electrical harmonics, you may get a 2nd, 3rd, or 4th order harmonic sin wave at some different frequency as you go up the velocity curve and find another node. I believe its all related to unique system harmonics in your specific rifle with its specific barrel
taper and length, and weight, the powder burn rate, the volume of the cartridge, the bullet seating used, the weight of the bullet,
etc. Then its all vibration of that barrel as the sound and pressure waves move back and forth before the bullet exits.

Explanation of harmonics and orders of harmonics -- ie, sin waves


https://www.electronics-tutorials.ws/accircuits/harmonics.html


Now, I don't have scientific proof from a lab to prove what I think......Lots of this is my own rationalization of what I see in the data and the graphs in searching for the answer why???? You might say it is a very good hypothesis. I would say yes, I agree, but to prove all this in exacting pinpoint precision will take a major army DOD lab or a major gun or ammo manufacturer to set up a test rig in a lab capable of measuring and logging pressure data at many points along a rifle barrel, shooting actual ammo with differing charge weights, and analyzing the barrel harmonics of that rig in milliseconds of time as each shot is made and chronographed. It could be done, but not by me or you. But, its the only explanation I think matches why this occurs and occurs
at intervals along the curve with lower, and higher nodes. Now, if anyone else has a better explanation, man I want to hear it.

Remember, don't give me any BS about monte carlo runs and statistics. The lab could also run this experiment a statistically valid
number of times to get a 95% confidence level and I believe they would still see it on the graphs. Its real. I fire at least 4-5 rounds per charge weight when I do it, just to make sure I get better repeatable results.
 
No, barrel vibrations do not change muzzle velocity. They change point of impact.
Go ahead and put one them rubber donuts on your barrel, move it around to see grouping go all over the place, with no change in MV.

I have not seen MV stop rising (much less go down) with incremental load changes through and beyond SAAMI max.
This is probably because my barrels are long enough for the load, so I don't run into excess of diminished returns.
 
No, barrel vibrations do not change muzzle velocity. They change point of impact.
Go ahead and put one them rubber donuts on your barrel, move it around to see grouping go all over the place, with no change in MV.

I have not seen MV stop rising (much less go down) with incremental load changes through and beyond SAAMI max.
This is probably because my barrels are long enough for the load, so I don't run into excess of diminished returns.
Yes, they do change POI, and that's the whole foundation of OCW theory. I believe OCW, Satterlee, and Audette Ladder are all related to harmonics, all of them. They all work, and are all a function of the harmonic effect of change in velocity and change in POI. The whole reasoning behind finding a velocity node either from Satterlee or from Audette ladder testing where there is
not much velocity difference or vertical target dispersion with increasing charge rate is to find that spot where the barrel exit of the bullet is occuring in some consistent muzzle position, hence an accuracy node, or small group. You are trying to find a spot where there is some foregiveness in the load charge weights vs. the group size. Ie, you can be 0.1 or .2 off and there is a window where it won't matter much as to your group size. Now the POI almost always will vary some around your aim point as you go up in charge. But, the group size may not vary much when you are in a node.

I now have a tuner on my .338 LM and before that I had a big ol heavy shaft collar on it that was actually on it when I shot the
velocity curve I posted on this thread. So, I am very familiar with how the POI will change as the tuner or the harmonics change the position the muzzle is pointing at bullet exit. I am still working on a final tune for my ATS tuner, but of course I am using all the same charge weights in my ammo as I try to get the tuner to give me the smallest groups and find the setting where using consistent ammo I get small groups. Once I get it tuned with consistent ammo, I will try an experiment with increasing charge weights to see what kind of curve I graph out for velocity. In theory, I would have to retune it at each charge weight increase
because that original tune was only good for that one consistent ammo to control the harmonics.

If you did not read this link, please do. I think it says the same thing I am saying but in 1997.

https://2poqx8tjzgi65olp24je4x4n-wpengine.netdna-ssl.com/wp-content/uploads/2012/07/incremental-load-development-method.pdf

I have seen flat spots and even lower velocities on my velocity curves with 26 inch bbl on .338 LM and 28 inch barrel on my .300 WM. So, I'm not shooting short barrels either. (You may have some 30 inch plus bull barrels) I do think its possible that with really short fat barrels where harmonics do not come into play much you will not see this kind of effect, because on a short 20 inch bull barrel the round is gone before harmonics can play into it much and through FEA model analysis Varmintal has documented on his web site you don't see as much harmonic impact on bull barrels or on barrels which are shorter than 22 inches in specific. So, if you are shooting short bull barrels, you may never see a Satterlee curve hump over. The skinny pencil sporter barrels may show these effects magnified precisely because they are more vulnerable to harmonics.

So, I can believe you haven't seen it or experienced it yourself depending on what set up you are shooting, but using slower powders with slow burn rates, and loading to higher charge weights or even compressed loads with slower powders, in longer barrels, where there is time for harmonics waves to move up and down the barrel prior to bullet exit, I believe increases the odds you will see this type behaviour.
 
In fact Mike, you have egged me on with your thoughts about POI, and in my mind how that connects to OCW
that I now want to propose this:

There is a common thread in why Saterlee, Audette Ladder, and OCW theory are all related and work.

The convergence of these three methods of load development can all be traced back to barrel harmonics as a function of pressure
as the unifying science behind why they all work, just from different angles.

The Unified Science of Load Development is all related to Barrel Harmonics and to pressure interaction with the harmonics.

It all starts simply trying to find the charge weight and bullet seating depth that will make your specific rifle shoot small groups.

But what is going on here is finding the optimum pressure wave combination eminating from the explosion and
pulsing up and down the barrel multiple times before the bullet exits. Find the right combo where the muzzle is in the same consistent position at bullet exit every time and presto small groups.

Only works for that barrel, that stock, that bullet, that powder and charge weight.....hmmm...

What science explains how the answer varies rifle to rifle, bullet to bullet, powder to powder, charge weight to charge weight?

Monitor pressure via velocity as a proxy.......it tells a story, but the final answer is what the target and MOA measurement itself says.
 
What science explains how the answer varies rifle to rifle, bullet to bullet, powder to powder, charge weight to charge weight?
The science is ballistics. Internal ballistics. External ballistics. Terminal ballistics.
No bit of it solved with shortcut Kool-aids.
 
The easiest way to visualize the shock wave, is think about what happens when you hit a close line, guy wire, etc.

That wave propagates the length of the wire, hits the end, then comes back, then repeats until it dampens out.

The other effect on a bbl, is the bore diameter changes as the pressure wave propagates.
 
Hey Mike,

I respect your posts and your experience. I would hope I'd get an answer which tells me what you believe and why.
I admit what I am throwing out here is only a hypothesis in some regard that I cannot prove lights out with mountains of data, but
if you have a better idea I'm willing to listen. I suppose we can just have differing opinions and different experiences (which can all be valid because of different rigs, ammo, and conditions.) I hope I'm not offering short cut cool aid......see I spell it with a c and you with a k.....

First, tell me about you're load development and what method you like best. Do you even use Satterlee, Audette Ladder, or OCW and why?

Let's have some good discussion and try to learn from one another........If you serve me coolaid, I'll let you know.
I'm not trying to serve you Koolaid, though maybe that's what you think.:)
 
ive used this Method and has not let me down find my node test it at short range see which ones do better as grouping and es and take it out to long range and see how they group there
 
The easiest way to visualize the shock wave, is think about what happens when you hit a close line, guy wire, etc.

That wave propagates the length of the wire, hits the end, then comes back, then repeats until it dampens out.

The other effect on a bbl, is the bore diameter changes as the pressure wave propagates.
Yes, exactly. Some of the videos on Varmintal.com show the actual modeled vibrations in different barrels. Short fat ones,
longer bull barrels, longer skinny sporter barrels, and even barrels that have been fluted and have less surface area.
We can't see it with the naked eye, but some of these barrels act like wet noodles or spaghetti with flips and flops as the process unfolds.
 
So, I'm new to reloading. Like, I started buying powder and bullets in 2021. I watched a hundred hours of youtube videos, read reloading manuals cover to cover, and I am fortunate in a way that is beyond words to have a mentor. My buddy 338 dude literally sat with me for hours and walked me through the process from beginning to end, at least a dozen times, all while not allowing me to distract him with my never ending questions. So, first cartridge I loaded, I set up a ladder test, .3gr increments, 3 cartridges at each charge, and ran the crono on all 30rds, kept notes, etc. That was after buying a modified case and finding seating depth and all of that.

Fast forward to today. I've now loaded for 4 other cartridges, (22-250, 6mm arc, 300blk, and .308), and maybe another one or two that I can't remember. I literally go to the hornady manual, find the middle of the road load, find max mag length, then shorten my coal by .005, and I load 10rds and test them. Every single time I have had a load that shot .5moa or better. So... I did nothing but load more of the same and shoot them.

My question to you gentlemen is:

Assuming what I just said is generally true for most cartridges, do you really think it's worth your time to chase this process? How much time do you spend to get a load that shoots .2moa better than mine? I'm just shooting animals, and mostly coyotes, so a 1moa system will do everything I need. A .5moa system is superb, and I'm doing nothing described in this thread and achieving that over and over. Maybe I'm just lucky..
 
You have fine rifles, a consistent reloading process, and you are lucky.

I am curious your calibers and barrel lengths though....

My Savage .338 Lapua obvious to a blind man has harmonics issues.

I believe that bigger calibers depending on their stocks, float, and barrel design will always have worse harmonics than say a caliber below .30 that is well designed and fitted.

So my answer is.......it all depends....:)
 
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