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FFS Delta Software
A Brief Tutorial
How to Get the Most out of this Software
This software incorporates a set of tools for the shooter to wring the most out
of his equipment and to maximize the chances of a cold-bore, first round hit on
target. To use the tools requires a certain level of competence and effort. If the
shooter either does not have the level of knowledge necessary to engage this software
or does not want to expend the effort necessary to develop the data necessary to
create useful and meaningful trajectory output, then he will not be able to get the
most out of his software investment.
Preparing to Use this Program
Three Important Steps - Calibrate Scope , Determine MV,
Calculate a BC
Calibrating the Scope - The only way a shooter knows how much his bullet
actually drops over distance is by using the elevation turret of his scope to tell him
how much elevation was required for the shot. What if the turret isn’t accurate?
What if the click value of the scope isn’t what the manufacturer says it is? What if
the click value is off by 4%, 7% or even 10%? For example, a Leupold Mk V, M3 is
advertised to have a 1 MOA per click turret. A shooter who is shooting the .308
Win cartridge may find that it takes 42 clicks from a 100-yard zero to be on target at
1000 yards shooting M118LR ammunition and would therefore assume that for the
conditions at hand, the bullet drops 42 MOA at 1000 yards and any computer
program that forecasts a different theoretical result is simply wrong. After all, one
doesn’t argue with reality.
If the shooter were to put on another scope on the same rifle, he would expect
to dial in 42 MOA and be right on target. That may or may not be the result,
however, because it is not necessarily the case that the turrets on the scopes are
moving the reticle the same amount - on scope one, the turret says 42 MOA but in
reality it may have moved the reticle only 40.7 MOA; on the second scope the turret
says 42 MOA, but it may have moved the reticle 42.9 MOA. Just because the
manufacturer says that a given turn of the turret moves the reticle a given amount on
the target is NO assurance that it in fact does. The shooter needs to check. This is
the essence of scope calibration.
The first thing any long range shooter must do is calibrate his scope to
determine exactly how much the reticle moves with each click of the turret and NOT
to take the manufacturers word for it. The program comes with a PDF
file that prints out five sheets of 8½ X 11 paper, each with chart lines printed thereon. Assemble
the five sheets in order on a cardboard backing of some sort and place the chart at
100 yards or meters. (If the file is not available, just take a long sheet
of paper about 45 inches long, put a visible mark at the top and one at the bottom.
Use the top mark as the starting point and move the reticle to the bottom mark.)
Fix the rifle in a vise or with sandbags, dial the scope to zero, align the horizontal
element of the reticle at the “0” (or top) line on the chart and then dial in 40 or so
MOA and watch the reticle move down the chart. Keep track of the number of
clicks of the turret and note the line number on the chart. Do this a few times to
assure an accurate measurement. Now that the number of clicks has been recorded
for a known distance of travel, double check the distance traveled on the chart by
measuring the distance on the chart with a tape measure. Then use this data to
compute the ACTUAL click value of the user’s scope. The program has a
computation dialog box for this purpose and requires as inputs the actual and
accurate range at which the measurements were taken, the number of clicks of the
scope, and the corresponding distance the reticle moved on the chart or target. Once
the user knows the actual click value of his scope, he can use this value 1) to compute
the actual drop of the bullet at range; and, 2) to compute the exact turret setting for
any firing solution computed by the software. This value is used in the Turret
Profile so the program can accurately calculate a turret setting for any given drop.
In obtaining this data it is important that the shooter accurately measure the
actual distance between the scope at its turret and the face of the target. Use either a
good rangefinder (one that has an error factor of under a yard, hopefully in 10ths of
a yard) or a tape measure. Errors in distance will have a definite effect on the
calculations. You only have to do this once for each scope, so do it carefully.
While checking the distance the reticle is travelling, make sure the
rifle is vertical and that the reticle is moving exactly vertically.
If the reticle is moving to one side or the other as the reticle moves
down, the scope itself is creating a windage error. This is a
pernicious problem; it is, in fact, difficult to get a scope mounted
exactly square to the bore. (To get an understanding of the
problem, go to http://www.scorehi.com/
and scroll down to the article "Precision Scope Mounting". Work
out a method to insure that the scope is properly mounted squarely on
the rifle; you should see no horizontal movement of the reticle as it is
dialed down 45 MOA.
Obtaining Muzzle Velocity – Any ballistics program, this one included, must
have the muzzle velocity of the bullet for each cartridge used by the shooter. But the
velocity of a bullet measured 15 or so feet away from the muzzle, where the
chronograph is located, is not the muzzle velocity. The program has a dialog box to
help the user calculate what the actual bullet velocity at the muzzle given the
measured velocity at the chronograph. Further, it is necessary that when the
chronograph data is collected the shooter also notes the air temperature at the time.
Why? Because when shooting the same cartridges later the temperature may not be
the same which means that the powder temperature will not be the same which
means that the muzzle velocity may not be the same. By noting the temperature that
existed at the time the chronograph data was obtained, the shooter can input that
data in a Bullet Profile and allow the program to correct the muzzle velocity for
temperature. Therefore, with the actual muzzle velocity computed at a known
powder temperature, the shooter can be assured that the proper muzzle velocity will
be used by the program when computing a firing solution in the field.
Be sure to use a decent chronograph. Since chronographs are not
self-calibrating, the user is taking a lot on faith that the chronograph
is accurately measuring the bullet’s velocity. Use the highest quality
of chronograph that is available and, if possible, get velocity data
from more than one chronograph. Be sure that the data collected is
accurate. The Delta III SD and the more advanced programs have a tool to check the chronograph and that is the "POI
Method" tool. More will be said about verifying the
chronograph results below.
Computing a Ballistic Coefficient – Now that you’ve got
a muzzle velocity from the chronograph, take the chronograph and place it down range. How
far? Far enough that the bullet will experience a meaningful
reduction of velocity but not so far as to risk hitting the
chronograph. Depending upon the size of the bullet path opening on
the chronograph, you
should be able to safely put bullets over the chronograph at 300 to
500 yards/meters. Fire a number of rounds at this new range and
obtain an average downrange velocity for this bullet type. The
Delta III SD and above programs have a workspace to perform this
calculation. At this point, you
have a calculated ballistic coefficient for the bullet that will be
good for this bullet into the subsonic region using this program.
However, the work here is far from finished. As was mentioned,
chronographs are not self-calibrating. The shooter has no idea if the
chronograph is outputting data that is accurate or merely "close" or,
for that matter, not even close. If the muzzle and down range velocities
are off, the calculated BC for the bullet will be off as well although
the error will be proportionately less. So, for example, if the
velocities are high by 10%, the calculated BC will be high by
approximately 5%. Therefore it is necessary that the user figure out if
the chronograph is reporting accurate velocities and, if not, 1)
determine the actual velocity for use in the bullet profile and 2)
obtain an error factor to recompute the down range velocity for purposes
of computing a more accurate ballistic coefficient.
Verifying Muzzle Velocity using the POI Method -
Using the chronograph muzzle velocity and
the calculated ballistic coefficient, set up a target at around 400, 500
or 600 yards/meters, adjust the scope for the range of choice and fire
five (5) carefully aimed shots. Measure the point-of-impact distance
above or below the point-of-aim, use the workspace in the program (Delta
III SD and above; see "POI Method - Muzzle
Velocity in the Field" in the manual) and compute the muzzle velocity
as shown by the actual impact points on the target. Depending upon how
well the user shoots and how small the resulting group is, this is an
extremely accurate way to determine muzzle velocity. Once the actual
muzzle velocity is known, first update the bullet profile with this
known muzzle velocity. Then, use the original muzzle velocity obtained
from the chronograph and divide by the POI Method muzzle velocity. This
will give you an error factor. Use that error factor to modify the down
range velocity obtained from the chronograph and that will give the
actual down range velocity. Using these two corrected velocities,
compute the ballistic coefficient again. (It is assumed here that
whatever error existed when using the chronograph near the muzzle, that
same error will be present at the down range target. It is important,
therefore, that the two measurements be taken at near the same time and
under the same conditions to maximize the chances that this is true.)
Using this newly calculated ballistic coefficient, run through the
process again: if the turret solution remains unchanged, assume the same
POI distance on the target and recalculate the muzzle velocity, get an
error factor, using the error factor compute the down range velocity and
using these two velocities calculate the BC for the bullet. It should be
very close to the previous result. If the scope setting did change, then
adjust the scope and fire five (5) more carefully aimed rounds at the
target, measure the POI versus POA distance and recompute the muzzle
velocity, then proceed with obtaining an error factor, apply the factor
to the down range velocity and recompute the BC. At some point this
iterative process will produce no meaningful change in velocity and
BC at which point the user can be very sure that he has a correct muzzle
velocity for that load/bullet/temperature and a BC that will produce optimum down
range elevation and windage calculations well into the subsonic region.
Someone may well ask why it is necessary to go through all
this work just to use the program. The answer is that it isn’t. But it must
be understood that the program will assume the accuracy of all
data that is input and based upon that data will provide a firing
solution. If the input data is erroneous, the resulting firing solution
will be erroneous. In order to discover the errors in the
measuring devices that shooters depend upon, it is necessary to check
them and to make allowances for their inaccuracies when detected. There
really are no shortcuts in this regard.
Computing the DK - Most all ballistic programs will compute a trajectory
based upon muzzle velocity, bullet configuration (i.e., the ballistic coefficient), and
atmospheric conditions. This program uses the same data. BUT, this program also
calibrates or customizes the trajectory to the cartridge/rifle/shooter. The manner in
which a shooter manages his rifle, i.e., the interface between shooter and rifle, differs
from shooter to shooter, rifle to rifle. This is one reason why two shooters who
shoot the same rifle using the same ammunition can have bullet groups located at
two different spots on the target. To have truly accurate trajectory computations, it
is necessary to tailor the trajectory computation to the cartridge/rifle/shooter system
and this program allows the user to do that.
The user must determine the actual bullet drop at sufficient range but where
the bullet is still supersonic but at a point where the bullet has experienced significant
drop. This range will differ depending upon the bullet in question but it is suggested
that the user find a range where the bullet is moving between 1200 to 1400 fps. The
following is an example of how to go about computing a DK. Let us suppose that a
shooter is attempting to calibrate the trajectory for a 190 gr. Berger VLD which he
uses in a 300 Win. Mag.. He chooses to measure the bullet’s drop at the 1000 yard
range believing the bullet to be well above the speed of sound at that range. He uses
the program to determine that under the conditions present at the range during this
test, the bullet's velocity at 1000 yards is approximately 1435 fps. That is close
enough. The shooter records the atmospheric data (air temperature, humidity and
pressure) and takes three to five well-aimed shots. He records that his scope (which
he has calibrated as described above) used 27.384 MOA to get the bullet on target
with a 200-yard zero and that the program predicts a 27.4 MOA bullet drop. Upon
studying the targets, he notes that the group is actually 6 inches below point of aim,
so in actuality the bullet drop was 27.957 MOA (6 inches equals 0.573 MOA. Add
0.573 to the actual MOA correction dialed by the scope.) Using this data, the
shooter computes that bullet’s DK by inputting the data in the DK computation
dialog form supplied in the program. For this bullet under the existing atmospheric
conditions, the program computes a DK of 0.498. When the shooter uses the same
atmospheric data, muzzle velocity, ballistic coefficient and DK to compute the
trajectory for that bullet, the program correctly predicts a bullet drop of 28 MOA.
The trajectory has been calibrated for that bullet/rifle/shooter system and as the
weather conditions change or muzzle velocity changes, the program will still
accurately compute trajectories for that system as long as the system does not
change. This means that if the shooter changes the manner in which he assembles
his cartridges, changes the powder, changes his firing position, he needs to check the
impact points to make sure the DK is still valid. It is a good idea to compute a DK
for each cartridge and rifle combination the shooter owns.
The default DK of 0.5 is a good place to start and many have found that it
suffices for all but the most demanding work. If extreme accuracy at extreme ranges
is required, however, the user should take the time to compute a custom DK.
CAVEAT: Do NOT, DO NOT, DO NOT
change the DK from its default value until 1) the scope has been
calibrated, 2) the scope has been zeroed, 3) a muzzle velocity has
been obtained and verified via the POI method, and 4) a ballistic
coefficient has been calculated. If the shooter tries to use DK to
get agreement between the actual and calculated trajectories using
erroneous muzzle velocities and ballistic coefficients, the program
will produce a distorted, inaccurate trajectory. The DK was not
intended for this purpose and will yield completely unusable data.
Don’t do it.
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