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Range Report WHY GRAVITY BALLISTICS?

Enough Said

Staff Sergeant Taylor
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  • Apr 10, 2005
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    Anchorage, AK
    Answers are only answers because of questions. Solutions are only solutions because of problems.


    As precision long range rifle instructors, our problem was a full line of students each with his or her own rifle, caliber, and numerous parameters and cartridges all flying at different speeds at different weights with different characteristics.
    We needed an expedient means of providing the student with a solution for the next yard line’s data based upon his impact at the last yard line. Otherwise, the student spent valuable instruction time staring at any one of a number of ballistic apps instead of concentrating and being in the instruction moment that they paid for. Walking a line of 16 students out to 1000 yards efficiently, predictably, and with waterline hits requires time, so we needed to be much more efficient in terms of time and in terms of conserving the students ammunition. Ammunition is precious whether you reload or shoot boxed ammo, and it will get more-so in the future.

    We need hits based on hits not hits based on theory.


    I decided to write down the data of each of our students as we guided them down range. After nearlya full season of that, I decided to go inside the numbers and find similarities. What I found was astounding. Regardless of caliber, speed or bullet weight, each cartridge used a similar percentage of data between yard lines. (!)
    IMG_0970.PNG



    Using simple math theory, because I am a simple man from the state of Mississippi with no degree in math, I backed into a multiplier that I could use between yard lines that would deliver a waterline strike at the next yard line given proper fundamentals. Proper fundamentals are very important because we must remove the shooters influence from the shooting equation. This is the whole point of precision rifle instruction.


    These multipliers worked perfectly, so I checked this math against my time-tested home-range data. It lined up to within a tenth of a mil. I was definitely onto something.(!) I checked the data and rechecked it, actually very surprised at the result, and decided to give Frank a call with my findings.

    He agreed that there may be some there there, but a true test would be to expose the math and method to the members of The Hide. If anyone can break this, they can.

    You loved it. It reconciled… But HOW? Or more precisely - WHY?

    Enter gravity.


    Ever notice that the use if gravity does not require parameters like weight, or location on the globe? It does not vary. Because two objects, dropped from the same height will strike the ground simultaneously regardless of weight. The multiplier that I had found represents gravity’s effect on the bullet in the next hundred yards (or meters) and one must only use the multiplier and the data of the previous hit to predict the data of the next hit. Mils or MOA. Gravity doesn’t care which angle of measurement you are using.

    Problem solved - From that moment on we have used that math to efficiently, predictably and repeatedly guide the student to the next hit using only the last hit’s data and a simple multiplier.

    This math exposes fundamental problems: A miss high or low and we would put the shooter under heavy scrutiny until we found the reason; stock dipping in the rear bag during recoil? Shooter crushing the trigger or failing to follow through? Don’t. Do. That. Because the math works! A miss high or low by more than a tenth or two and and you are the problem!

    How did we incorporate Gravity Ballistics into our instruction?
    We created a flow sheet that the student would gather data on and do the math to the next hit as we moved down range. This worked really well and doubled as a training - truing aid with the use of my Drop Column.


    The Drop Column displays in plain view the effect of gravity on your bullet between yard lines:


    300 to 400 the drop is .7 mils

    400 to 500 the drop is .8 mils

    500 to 600 the drop is .9 mils, and so on…


    This should show an even and predictable pattern. If it hitches in any way, you have a problem and need to go back and verify that yard line’s data. Simple. It exposes weakness in your data before you do, with misses.

    The only problem being shooters doing math in public. LOL


    We initially called this “Weaponized Math”, but that did not prove to be proprietary enough, as the use of that phrase appears here and there in the shooting world. so over drinks, while sitting at the bar at Sheep creek lodge in Alaska in the summer of ‘23, we decided to re-brand it to what it is now… Gravity Ballistics. Frank may still have the napkin that was scribbled on.


    Hundreds of our students have used what is now Gravity Ballistics to gather data efficiently and predictably in the 5 years since I started assembling this puzzle. It has fixed many a students’ problems and saved thousands of rounds of try-error that used to be associated with the gathering of data.
    Saving time and money.


    In the fall of ’23 Frank began work on the App that you now hold in your hand. The Application goes even deeper into the numbers and trues your data as you gather it. The farther out you shoot, the finer it resolves.

    As instructors who have been in this game for over 30 years, we seek to NEVER STOP IMPROVING.


    SO BACK TO OUR ORIGINAL QUESTION - WHY GRAVITY BALLISTICS?

    Because the math used by this method of gathering data is not based upon parameters like muzzle velocity, bullet diameter, length or weight.
    It is unique because it is built upon something more precise; Gravity’s effect on your last hit, and it’s prediction using the drop it took to get that hit to give you the drop to your next hit. It is based upon reality, not theory.





    E
    njoy.


    Marc Taylor
    Instructor, Sniper’s Hide Precision Rifle Course
    Email: [email protected]
     

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    Ever notice that the use if gravity does not require parameters like weight, or location on the globe? It does not vary.

    Yes it does. It’s just not enough to matter. We normally use the average near earth gravity, but it does vary on the surface of the earth about the average.
     
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    Yes it does. It’s just not enough to matter. We normally use the average near earth gravity, but it does vary on the surface of the earth about the average.
    Can you be say “pedantic”, children. lol. .
     
    Answers are only answers because of questions. Solutions are only solutions because of problems.


    As precision long range rifle instructors, our problem was a full line of students each with his or her own rifle, caliber, and numerous parameters and cartridges all flying at different speeds at different weights with different characteristics.
    We needed an expedient means of providing the student with a solution for the next yard line’s data based upon his impact at the last yard line. Otherwise, the student spent valuable instruction time staring at any one of a number of ballistic apps instead of concentrating and being in the instruction moment that they paid for. Walking a line of 16 students out to 1000 yards efficiently, predictably, and with waterline hits requires time, so we needed to be much more efficient in terms of time and in terms of conserving the students ammunition. Ammunition is precious whether you reload or shoot boxed ammo, and it will get more-so in the future.

    We need hits based on hits not hits based on theory.


    I decided to write down the data of each of our students as we guided them down range. After nearlya full season of that, I decided to go inside the numbers and find similarities. What I found was astounding. Regardless of caliber, speed or bullet weight, each cartridge used a similar percentage of data between yard lines. (!)
    View attachment 8340146


    Using simple math theory, because I am a simple man from the state of Mississippi with no degree in math, I backed into a multiplier that I could use between yard lines that would deliver a waterline strike at the next yard line given proper fundamentals. Proper fundamentals are very important because we must remove the shooters influence from the shooting equation. This is the whole point of precision rifle instruction.


    These multipliers worked perfectly, so I checked this math against my time-tested home-range data. It lined up to within a tenth of a mil. I was definitely onto something.(!) I checked the data and rechecked it, actually very surprised at the result, and decided to give Frank a call with my findings.

    He agreed that there may be some there there, but a true test would be to expose the math and method to the members of The Hide. If anyone can break this, they can.

    You loved it. It reconciled… But HOW? Or more precisely - WHY?

    Enter gravity.


    Ever notice that the use if gravity does not require parameters like weight, or location on the globe? It does not vary. Because two objects, dropped from the same height will strike the ground simultaneously regardless of weight. The multiplier that I had found represents gravity’s effect on the bullet in the next hundred yards (or meters) and one must only use the multiplier and the data of the previous hit to predict the data of the next hit. Mils or MOA. Gravity doesn’t care which angle of measurement you are using.

    Problem solved - From that moment on we have used that math to efficiently, predictably and repeatedly guide the student to the next hit using only the last hit’s data and a simple multiplier.

    This math exposes fundamental problems: A miss high or low and we would put the shooter under heavy scrutiny until we found the reason; stock dipping in the rear bag during recoil? Shooter crushing the trigger or failing to follow through? Don’t. Do. That. Because the math works! A miss high or low by more than a tenth or two and and you are the problem!

    How did we incorporate Gravity Ballistics into our instruction?
    We created a flow sheet that the student would gather data on and do the math to the next hit as we moved down range. This worked really well and doubled as a training - truing aid with the use of my Drop Column.


    The Drop Column displays in plain view the effect of gravity on your bullet between yard lines:


    300 to 400 the drop is .7 mils

    400 to 500 the drop is .8 mils

    500 to 600 the drop is .9 mils, and so on…


    This should show an even and predictable pattern. If it hitches in any way, you have a problem and need to go back and verify that yard line’s data. Simple. It exposes weakness in your data before you do, with misses.

    The only problem being shooters doing math in public. LOL


    We initially called this “Weaponized Math”, but that did not prove to be proprietary enough, as the use of that phrase appears here and there in the shooting world. so over drinks, while sitting at the bar at Sheep creek lodge in Alaska in the summer of ‘23, we decided to re-brand it to what it is now… Gravity Ballistics. Frank may still have the napkin that was scribbled on.


    Hundreds of our students have used what is now Gravity Ballistics to gather data efficiently and predictably in the 5 years since I started assembling this puzzle. It has fixed many a students’ problems and saved thousands of rounds of try-error that used to be associated with the gathering of data.
    Saving time and money.


    In the fall of ’23 Frank began work on the App that you now hold in your hand. The Application goes even deeper into the numbers and trues your data as you gather it. The farther out you shoot, the finer it resolves.

    As instructors who have been in this game for over 30 years, we seek to NEVER STOP IMPROVING.


    SO BACK TO OUR ORIGINAL QUESTION - WHY GRAVITY BALLISTICS?

    Because the math used by this method of gathering data is not based upon parameters like muzzle velocity, bullet diameter, length or weight.
    It is unique because it is built upon something more precise; Gravity’s effect on your last hit, and it’s prediction using the drop it took to get that hit to give you the drop to your next hit. It is based upon reality, not theory.





    E
    njoy.


    Marc Taylor
    Instructor, Sniper’s Hide Precision Rifle Course
    Email: [email protected]
    This is very interesting. I have to buy the app to try it out now. Who said there is nothing new? This is a great idea
     
    I don't really understand how you can just take into account gravity only. The speed of the bullet plays a part how much gravity has pulled the bullet down by the time it gets to the next point at which you want to hit. Of course, the speed of the bullet is calculated by all that other nerd shit. I agree you can take a 36 grain .22 bullet and a 750 grain 50 caliber bullet drop them from 100ft and they should both hit the ground at the same time, but when traveling horizontally through the air how do you only consider gravity?
     
    I don't really understand how you can just take into account gravity only. The speed of the bullet plays a part how much gravity has pulled the bullet down by the time it gets to the next point at which you want to hit. Of course, the speed of the bullet is calculated by all that other nerd shit. I agree you can take a 36 grain .22 bullet and a 750 grain 50 caliber bullet drop them from 100ft and they should both hit the ground at the same time, but when traveling horizontally through the air how do you only consider gravity?
    Yes....and no

    Look at your average rifle. It is shooting a bullet at around 2800 FPS. Some a little faster, some a little slower. but +/- 10% is 2500fps to 3100 fps.
    So basically the bullet speed is "fixed" because there isn't that much variation is speed. In addition its basically numerical integration (fancy math term!) but since we are going in increments of 100 yards (or meters) your difference gets worked into your actual dope, so when you go from 800 to 900 or 900 to 1000 a lot of the difference is already in the "actual dope"

    Plus look at the dope readings..going from memory lets say 400 is 4 mils x 1.45 is 5.80. 4.1 mils is 5.95

    Remember the idea is to "get you on the paper" so you can fine tune. And by far the largest factor is gravity. And since we only really care about getting on paper so we can refine, then those 10% differences are a wash. and by the the time it would make a difference (past 500 yards or so), you've already collected a ton of real dope and have good data for your next try.

    Remember your X factor is for the NEXT try. But then you refine and get your "real" data. Then you approximate your NEXT try (aka distance). So while each time there is a small variation, you are starting from known good data and gravity ballistics gets you on the target, so yo can refine.
     
    Thanks @Enough Said !
    I love it and was so happy when the app was released.

    It is brilliant!
    I have showed a couple guys that scratch their head like they can’t understand how it can be so simple.
     
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    I don't really understand how you can just take into account gravity only. The speed of the bullet plays a part how much gravity has pulled the bullet down by the time it gets to the next point at which you want to hit. Of course, the speed of the bullet is calculated by all that other nerd shit. I agree you can take a 36 grain .22 bullet and a 750 grain 50 caliber bullet drop them from 100ft and they should both hit the ground at the same time, but when traveling horizontally through the air how do you only consider gravity?
    The multiplier represents the drop, which translates to the elevation you need to overcome the gravity. Not exactly the gravity alone because your drop /elevation accounts for your propulsion, which M/V is a part of.

    Given perfect horizontal line of departure, both the slow bullet and the fast bullet will hit the earth at the same time. The higher m/v rifle's bullet will travel farther in that drop time because of faster propulsion, and for the same reason use less data to get to, say, 600 than the .308, but both will use the same percentage of their 1,000 yard data to get to 600. 40%. The multiplication factor used to represent gravity, or drop, knows both the known data of the last yard line's hit, and accounts for the fact that your speed is bleeding off because you are using the same bullet/rifle.

    Take this worksheet to the range with a .308 and a 6.5 CM and work from the bottom left of the sheet to the top right using unfamiliar ammo. The math will march you out as far as 1000 yards, perfectly, with hits for both rifles on or near the waterline (fundamentals and wind!)
    Clearly the .308 is moving slower than the CM, but it does not matter, they both use the same multiplier representing the drop. They will have different data, but the math will work for both.






    Screenshot 2024-02-05 at 8.47.11 PM.png
     
    With the Gravity Ballistics Ap, you fill in your correct, tried and true 300-yard data based upon reality and the app will populate the remainder of the data card based upon that hit only until you add 400 yard data, then the app recalculates farther and closer ranges based upon that reality.

    It is very important that you are precise and do not base your entry on a small sample like one hit on the line. Shoot a follow-up or a group to pin down the precise elevation to a yard line before you move on.

    A large aiming point will yield a less precise data so AIM small-HIT small(!) and don't hesitate to refine to a half-tenth to make data reflect reality at farther ranges. There is quite a difference at the farther ranges' data when you refine to .15 at 300, or .95 instead of settling for 1.0 at 300 because you are close.

    REMEMBER -- GATHERING DATA IS A PROCESS, NOT AN EVENT.
     
    Would be nice if someone can make a step-by-step short video on the method and app working together. You know, an image is worth a thousand words, and a video is probably worth a million words :cool:
     
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    We take students step by step through this process in our course and ensure through close scrutiny that your influence is bot skewing your outcome. That is important.
     
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    My question is does angle affect the drop. Example does a sharper positive or negative angle affect the rate at which gravity affects in gravity ballistics???
     
    My question is does angle affect the drop. Example does a sharper positive or negative angle affect the rate at which gravity affects in gravity ballistics???
    Determine the inclined horizontal distance first then perform GB. Inclined distance 800 yards, horizontal 650 yards. Perform GB starting at 650.
     
    Last edited:
    My question is does angle affect the drop. Example does a sharper positive or negative angle affect the rate at which gravity affects in gravity ballistics???
    Yes. But the multipliers are adhustable for that reason.

    At Mifflin County we had a steady increase in angle to 15 degrees at the 1K. I developed a sheet just for that range and it all worked out perfectly for each shooter.
     
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    Yes. But the multipliers are adhustable for that reason.

    At Mifflin County we had a steady increase in angle to 15 degrees at the 1K. I developed a sheet just for that range and it all worked out perfectly for each shooter.
    is that all it was...15 degrees? I thought I was shooting up mount Everest at goats haha

    1710950842315.jpeg
     
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    Would be nice if someone can make a step-by-step short video on the method and app working together. You know, an image is worth a thousand words, and a video is probably worth a million words :cool:
    Numerous vids available. Search Sniper's Hide in Youtube. Frank and Chris Way have made at least a couple recently.
     
    I think this approach works so well is because even though different calibers have different mvs, weights, and BCs, the weight doesn't really matter while the mv and BC do... and when it comes to many classes of long range shooters using rifles that shoot bullets with similar BCs at similar muzzle velocities, things average out when given enough samples (what statisticians know as 'Reversion to the Mean'). Rules of thumb based on reversion to the mean are common in many applications. It was clever for a non-mathematician to apply it to exterior ballistics.

    Now we can add 'gravity ballistics' to 'horseshoes and hand grenades' when talking about 'close enough.' As long as people realize that this isn't the answer, it's designed to get you close enough when developing your own dope for a specific rifle and load to save lots of ammo.
     
    I think this approach works so well is because even though different calibers have different mvs, weights, and BCs, the weight doesn't really matter while the mv and BC do... and when it comes to many classes of long range shooters using rifles that shoot bullets with similar BCs at similar muzzle velocities, things average out when given enough samples (what statisticians know as 'Reversion to the Mean'). Rules of thumb based on reversion to the mean are common in many applications. It was clever for a non-mathematician to apply it to exterior ballistics.

    Now we can add 'gravity ballistics' to 'horseshoes and hand grenades' when talking about 'close enough.' As long as people realize that this isn't the answer, it's designed to get you close enough when developing your own dope for a specific rifle and load to save lots of ammo.
    Interesting take, @ObiJohn, and I could fall for your "close enough" conclusion had I not witnessed the thousands of waterline strikes I've seen while employing this 'reversion to the mean' method of gathering data with shooters bringing heavy, light, fast and slow calibers of high and low BC projectiles. Including hunting calibers and loads. The mathematic approach and perspective was always there, but it took the unique perspective of an instructor looking for efficient solutions to create the need to solve a problem.

    Gravity Ballistics is based upon actual hit data that includes a combination of the physical (shooter's fundamentals), the mechanical (weapon system) and the mathematical(external ballistics) aspects of the solution, not just a solution offered through applying parameters only and reaching a theoretic solution. Solvers are just that.

    Do yourself the favor of trying it against your known data (assuming that you have that) and you will be amazed at its simplicity and accuracy.

    --Taylor
     
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    I have no doubt it works... why wouldn't it? What you've done is to average out the drop in mils every hundred yards, and used that to come up with a coefficient ('multiple') at 100 yard increments. As you've mentioned in other posts, the coefficients have to be adjusted for .22 rimfire, or .350 Legend, or .30‐30, .45‐70, or .22 Hornet, etc. In short, every group of cartridges with different BCs and MVs will have different coefficients at longer ranges. Think of this as representing segments of lines between each interval, with the coefficients getting you close and the data determined empirically by shooting at each distance optimizing the coefficients. Now, if my bullets BC and MV are +/- 100 ft/sec from your 'sample set' then because a tenth of a mil is greater than 1" past 300 yards I'll be within a tenth or two out to past 800 yards... but given a 2" wide waterline and that a tenth is just under 3", that's close enough and likely within the shooter's accuracy cone.

    I'm not denigrating your approach. I use a similar approach when sighting in my OTC rifle initially... I knew what the tables said, 'came up' the appropriate clicks, then test-fired to confirm zero.As I said, I think it's clever, and it lets shooters be suitably equipped with a LRF without a ballistics calculator, or even just known distance targets and a pencil to fill out a dope table, to get on a metal plate... and within a tenth or two if not at the center of that plate within 1000 yards given a VLD bullet around 2900 ft/sec.
     
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    @ObiJohn makes some very interesting points as, of course, does Marc.

    I'm no mathematician or external ballistics expert so I cannot add anything to that part of the discussion.

    I will say that after taking some clinics with Marc and Frank I have no idea how they efficiently got people to have workable dope to 1k before GB and when having to tune up everybody's ballistic calc app. That had to be a nightmare. GB worked very well in this clinic application.

    Now, I do sort of think its very helpful to have a very clean target with a clean waterline to get your dope...whether GB or just trying to true your ballistics app. In a clinic with 10-14 people shooting sequentially this is kind of tough but of course we had expert spotters calling the shots.

    GB allowed us to spend more time shooting accurately and not spend a lot of time trying to configure and true ballistic apps .