External Ballistic Equivalents at Distance: Analogs for Terminal Ballistics Testing

Some of the caliber and bullet design discussions have pointed me towards this direction for trying to gain a better understanding of how particular projectiles behave with regard to terminal effectiveness after having flown for any considerable distance; basically I found myself trying to isolate what effects resulting from internal and external ballistics on the bullets themselves can be replicated in order to evaluate, or at least produce a viable analog for evaluation in gel or other targets, and what other considerations are required for that. The overall goal for trying to understand this, for me personally at least, is to see at what particular distances (or at least approximate distance envelopes based on particular muzzle velocity and barrel twist) individual bullets still perform as desired terminally, without having to actually set up gel blocks at distance and try to hit them precisely, and instead be able to set up variable analogous setups for more controllable laboratory testing and better understand that ragged edge where the velocity, RPM, yaw, and design of the bullet conspire to no longer produce specific desired results on target. To better do this, my effort would be to very closely approximate a bullet having flown those distances, but without the logistical nightmare of trying to trying to compare multiple bullet weights, constructions, calibers at all kinds of incremental distances, or at least be able to answer rather specific question (e.g. comparing Mk318 and Mk319 performance at 200, 300, 400, 500m; comparing Mk262 and M118LR at 400, 500, 600m; or sorting out which of Mk318, M855, M855A1, Mk262, and 70grTTSX/50grTTSX/62grSP really makes sense at various distances).

A lot of data comes from hunting, but even amidst those data I quite often hear of instances where the shooter will assume they missed after a particular shot at range, only to find a blood trail from a wounded but still ambulatory game animal and no clear picture of why that bullet was unable to humanely drop the animal, while an identical load/rifle pairing was effective in very similar circumstances. I figure much of what is attributed to luck, or assumed to be fortunate shot placement (or bad luck/unfortunate shot placement) may still be entirely explicable by finding odd nodes of stability where some projectiles will tend to penetrate unperturbed. So…

Knowing the effective drag coefficients (of the bullet having been slightly altered with rifling along the flat) and being able to back-calculate velocities at particular distances seems straightforward enough, but this doesn’t seem to be a complete answer to that equation, but I’m not sure I have all of the other considerations in my short list, or if some of these are going to be so inconsequential that they’re not worth looking into further.

First one would be the attitude of flight: the particular angle of attack and yaw the bullet would experience at those ranges; I heavily suspect that the precise orientation of bullets with regard to their trajectory would affect tendency to deform/fragment/disrupt and how quickly that happens upon impact, especially in the first few inches of soft tissue. That said, I’m not exactly sure how to measure or replicate this all that precisely when we’re talking about somewhat extended ranges, factoring in parabolic trajectory into drag-induced orientations, precessional drift due to gyroscopic effects, and variable drag loads along ogives or at meplats/open tips in match/SOST type rounds: even with some extensive computational finite element analysis this might be a bit challenging to crack, but it should be possible to estimate and at least approximate this.

Second would be the rotational speed of the bullet at these ranges - I figure virtually every rifle bullet is going to lose speed in the direction of travel faster than rotational speed, so it should be possible to test at shorter range the same bullets from a tighter twisting barrel and get pretty comparable rotational speed, but it’s back to being yet another factor to include in the equation, since inherent gyroscopic stability is dependent on the specific RPM of the bullet at that moment, which I figure must in turn must affect terminal ballistics.

Some other smaller ones might be precise bullet mass effects (e.g. core-lokt or other exposed lead bullets probably change total mass as well as mass distribution), how the gyrostability and attitude of bullets are affected by rifling grooves being kinetically stamped into the flats on bullets, or even small stuff like temperature of the jackets possible affecting ductility in critical deformation points.

Of course, without some outside expertise I’m unlikely to get too far with this just myself beyond detailed thought experiments, but maybe the likes of Molon, DocGKR, and others could enlighten on this, or even push this farther towards meaningful hard data.

What stuff have I missed? Is this a bigger project that even I realize? Can a lot of this be readily sorted out by running the same projectile at a lower velocity through maybe a faster twist barrel and just shooting at 100m, or would those exact values be entirely too cartridge specific to provide any meaningful cost/logistics savings to achieve an apples to apples comparison?

Some references:

http://www.ar15.com/archive/topic.html?b=3&f=16&t=374239
http://www.ar15.com/archive/topic.html?b=3&f=118&t=512635
https://www.m4carbine.net/archive/index.php/t-67792.html
http://mathscinotes.wordpress.com/2011/01/12/ballistics-ogive-and-bullet-shapes-part-2/
http://www.accurateshooter.com/technical-articles/calculating-bullet-rpm-spin-rates-stability/
http://www.dtic.mil/ndia/2008Intl/Roberts.pdf
www.dtic.mil/get-tr-doc/pdf?AD=ADA512331
http://www.dtic.mil/ndia/2008Intl/Schatz.pdf
https://www.m4carbine.net/archive/index.php/t-152793.html

More to come…

Gel loaded at lower velocities. All of the other stuff is so variable within its self, and so inconsequential, that you wont realistically be able to measure it. Load variation, barrel variation, and bullet variation will eclipse all the other stuff combined.

Example, angle of attack is the biggest variable in fragging m193 and 855. Barrels mattered most, IIRC independent of twist. Some bbls caused a high angle of attack and others didn’t, and I believe that diminishes over flight time.

Temperature? The temp of a bullet is so low it will not affect the properties of the copper jackets.

I figure fleet yaw is a pretty big variation source barrel to barrel, and I suspect you’re absolutely correct that over flight that barrel induced yaw reduces to truly inconsequential AOA, but the vast majority of testing I’ve seen in gel is all done really up close, which may benefit tremendously some projectiles with far less real world performance potential (as you said AOA is a huge variable in performance of 193/855, and the peculiarities of barrel/crown/other stuff probably produces a much more favorable environment in short ranges for perturbations leading to fragmentation/tumbling/deformation of the bullets).
I guess I’m trying to figure out how much of certain cartridge performance ends up being a false positive for ‘will it work’ at specified ranges, or if it really is a case that I should just stay where I’m at with regard to focusing on precision/match combinations because anything outside of the ~300 effective range of generic issue rifles getting the hit at all is more important than minutiae of terminal performance - and how does this affect caliber/catridge/barrel decision making

Looking forward to the results.

This is way outside my lane, but I’m very curious to see what comes of it.

I am interested in what you learn. I would also be interested in hearing how mathematic calculations compare to real world terminal performance when actual data collected in the field is available for a particular load, barrel length and twist rate.

This is exactly the reason I want to actually hit my water jugs at distance as opposed to just downloading a charge to get it to what the ballistics chart says it’s velocity would be at that distance.

We might start at 500 yards this weekend or next. I’m especially interested in 5.56, and specifically, 77 gr OTMs.

Getting these hits on the water at 1000 will require good cooperation from the wind.

I’ve thought about the angle that the round is actually striking the target at quite a few times before. I’m interested in how this goes.

1000 yards would be a really good distance. The bullet’s attitude stays the same, and with a 14+/- mil come up, that’s really going to give it an impact with the bullet tip up.

500 yards is only a 3.5 mil come up, but it’ll at least give an idea of what fragging there will be.

I do remember reading an FBI ballistics report at one time that indicated that reducing muzzle velocity to simulate long-distance performance at reduced range didn’t work-out. I think that it had to do with flight stability, and not achieving full stability, which led to inconsistent angle of incidence, but I cannot remember at what speed and from what twist this was tested.

I need to find that report, look into it a bit more; secondly I need to knock out enough school stuff I can come down and visit my brother in Tolleson and go shooting with you and Pappabear.

I’m eagerly anticipating the results of this test.

A few friends who worked for a major ammunition manufacturer told me they liked to use water as a test medium, because a projectile would disrupt with better expansion than other mediums, such as duct seal or ballistic gelatin. They said from a marketing standpoint, water was the best medium for demonstration purposes.

I would like to see results from shooting into calibrated ballistic gelatin covered in common clothing at increments of 50 yards out to 1,000 yards. That would be an expensive proposition.

I have read a couple reports that said the same thing. The most recent one claimed the largest problem was the rpm of the bullet when hitting the water, gel or whatever medium being used. I wish I could find it now. I believe it said when downloading to simulate longer distance the rpm of the projectile will be less in the simulated load versus a full power load at the actual distance.

It went into detail about why this had an impact on the terminal ballistics. I just cant remember exactly what it said, but the article basically stated the only way to judge the actual performance was by shooting it into a testing medium at said distance.

I will go through my history and see if I can find it.

Nevermind, Iwrote first and didn’t think.