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Target Shooter 1

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wind.<br />

Running this simulation<br />

multiple times can reveal<br />

how much difference a<br />

certain performance<br />

advantage can make to a<br />

shooter’s score.<br />

The model assumes our<br />

hypothetical shooter is<br />

able to hold X-ring (V-<br />

Bull in British shooting<br />

terminology) elevation,<br />

and in order to generate<br />

equal conditions for the<br />

various bullets, it applies<br />

a crosswind uncertainty<br />

of +/- 2 mph.<br />

(Specifically, the standard<br />

deviation of the shooters/<br />

coach’s ability to call wind<br />

is 1 mph.) In other words,<br />

the crosswind uncertainty<br />

is modelled to be less than<br />

2 mph for 19/20 shots.<br />

Figure 4 how do you model<br />

a shooter, and the<br />

effects of bullet<br />

performance on score? The way I’ve<br />

chosen to approach this is statistically. A ballistics<br />

program was looped to run for 20 shots. On each<br />

shot a different wind uncertainty is applied to<br />

represent the effect of an imperfect wind judgment<br />

by the shooter or coach. The idea is that the better<br />

performing bullets should result in fewer lost<br />

points because they’re deflected less by a given<br />

Figure 4 shows a visual<br />

representation of a<br />

‘virtual group’ produced<br />

by the computer model<br />

using the aforementioned<br />

conditions<br />

and<br />

uncertainties. The table<br />

underneath provides the<br />

numeric values for the<br />

series of runs of the<br />

model, that is 100<br />

simulated 20-shot 1,000<br />

yard matches using the<br />

American NRA ‘Fullbore’<br />

target. It shows<br />

the minimum and<br />

maximum simulated<br />

scores (in individual<br />

‘matches’), plus the average score for the entire<br />

series for each of the eight bullets.<br />

Some apparently strange features of the<br />

results are related to the statistical nature of the<br />

simulation. For example, notice that the highest<br />

individual ‘match score’ with the new Sierra and<br />

the Berger VLD is one point higher than those<br />

for the three higher BC bullets at the top of the<br />

list. This shows that over the course of 100<br />

matches, it’s possible to shoot a higher score with a<br />

62 <strong>Target</strong> <strong>Shooter</strong>

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