Moving targets: Linear vs. Angular lead (reticle goodness)

kombayotch

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Those that shot precision rifle matches with me know that I do well in moving target matches. I'm often asked about the techniques I use (tracking vs. trapping, etc...) and one of the question that always comes up is how much do I lead the targets? To which I give an answer that is an angular value in mils. People are usually expecting my answer to be in inches, so this typically leads to another question about how much I adjust for different target speeds and different distances. When I reply that I only adjust for speed, that distance doesn't matter, this usually causes some confusion and disbelief.

It doesn't make any real difference in a match that is shot at known distance with a target that always moves at the same speed, but it does make a difference in real world applications, and I like doing things in ways that are usable off the range. So, I've created a few charts to try and illustrate how this works, and to maybe shed some light on one of the reasons why there is a big push towards first focal plane in tactical scopes.

Here is a charts that show the required target lead in inches for you typical 308 175 SMK load:

308_inch.jpg


It's what you would expect: the faster the target is going and the further away it is, the more lead is needed. The movers carried on stick in Canadian matches are typically going at 1-1.5 MPH. Mechanical movers down in the US are usually between 2-6 MPH.


Here what it looks like if you convert those leads to mils:

308_mil.jpg


Notice that for a given target speed, the lead in mils stays almost constant over a large distance. That is something that can be taken advantages of.

The thing you need to realize is that since it is an angle, differences in value make less of a difference at closer distances than they do at longer ones. So, if you wanted to use a single lead value for a particular target speed over a large distance, it makes sense to choose one from one of the farther distances.


Lets say we used the following values for different target speeds over the the entire 100-500 yard range:

308_lead_chart.jpg


If we predicted the target speed accurately and did our tracking or trapping properly, we would get the following errors:

308_error.jpg


These are pretty small, and if everything else was done correctly (wind call, hold, etc...) and the load was accurate, they would result in a hit. This works for any caliber, and the shorter the flight time of the bullet, the less error there will be and the larger the range of distance this will work over.

This is what the 6mm Crusader that I have been shooting this summer looks like:

Leads in inches:

DTAC_inch.jpg


Lead in mils:

DTAC_mil.jpg


Lead table that I use over distance, and the resulting errors:

DTAC_lead_chart.jpg


DTAC_error.jpg


Note that there is less error than the 308 load because of the reduced flight time.

Now, target speed is like wind: the best you can ever do is estimate it, fire a shot and make corrections (if possible). It is going to be an estimate regardless of which way you lead. The advantage to using the angular lead method is that your solution table looks like this:

DTAC_lead_chart.jpg


versus this:

DTAC_inch.jpg


Its one dimensional vs two and is far easier to memorize and use since you only need to consider one thing: target speed. With a good reticle it can be done accurately, and in an FFP scope, you can do it at any magnification.

The other advantage is that you're focusing on the part of the target that you want to hit and not some space out in front of it. This typically helps with vertical deviation and you can often catch your own swirl and splash (if you use a break). The size of your target doesn't matter either. If your linear hold-off is not with respect to the desired point of impact, but rather to the edge of the target, another error is introduce if your target can vary in size or orientation.
 
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Probably should be re-visited and polished a little before making it a sticky. It's from 2012. lol!

An interesting thing to do is plot the linear leads in a chart.



Right away you can see that they create nearly straight lines. For practical purposes, it can be treated as straight lines. That means that the angle (what both mils and MOA are - angles) between that line and the horizontal axis is the same for each lead over those distances.
 
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Very interesting indeed. As a newbie to this stuff, is this doable from the prone or sitting/kneeling? Is the use of a rear support possible while traversing?
 
Generally, you go by averages. People and animals walk, jog/trot and run at average speeds. Make your best guess and adjust. The thing is that when using the angular measurements, you will be in the ballpark over a wide distance, and can adjust as needed since you're better able to spot where your shots are going.

If you have time (the target is moving across a field, for example), you can estimate (estimate, not measure) speed using the reticle. The formula for calculating a lead, when reversed can give you velocity. It's just how many mils the target moves in a give time, knowing the distance. Just substitute time of flight for a larger number like 2 seconds. You can't calculate it on the fly, so you make a look-up table (right side).



You can count in your head, or use one of those small countdown timers that vibrates, then resets with the push of a button. Again, it's an estimate, but it will get you a lot closer than guessing and trying to think about what that many inches that lead looks like at that distance.

Alternatively, you can time how long it takes for the target to go between a fixed number of mils.



Many scopes have additional 5 or 10 mil marks on the thicker outer crosshairs that allow you to so 20 mils or 30 mils. The values in seconds are twice as big if you use 20 mils, 3x if you use 30 mils. Half if you use 5 mils. etc...
 
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Very interesting indeed. As a newbie to this stuff, is this doable from the prone or sitting/kneeling? Is the use of a rear support possible while traversing?

Yes, in any position. If you're tracking, you hold dead on (make sure to follow through). If trapping, you need to add a little extra to account for target movement during lock time (yours). In prone, use a round bag and roll it to track the target.

I've done it in PR, SR and PRS.
 
One of the most interesting variations on a mover is when firing from a moving vehicle, like a helicopter. They have helicopter boar hunts in the US, and some matches have a helicopter stage. Some have stages from moving ground vehicles.

If you're moving to a target or moving faster than a target that is moving in the same direction as you, you need to hold behind the target. If your boar is running in the same direction as the helicopter, and you are overtaking it, his net velocity is negative. It's the same as if he was running backwards at (helicopter velocity - boar velocity).

Rifles Only offers a Helicopter course for $1500 if anyone is interested. Open to civilians.
 
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