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FM/BG-522 · v2.04

Milliradians: Mil-relation formula

Code
FM/BG-522
Kind
Guide
Version
v2.04 2yrs ago
Views
691
Platforms
As its document
Published by
LtCol James 25 Jun 2024
Last material change
v2.00

Milliradians: Mil-relation formula

‘At 1000 metres, 1 mil is 1 metre.’

This relationship is the key to acquiring ranges quickly and accurately. Just like you know now how many milliradians are in different shapes of your hand, you can remember the real size of different objects, then use milliradians to get ranges from them.

Remember our finger (known size) appeared bigger (milliradians) the closer we held it to our eye, but always the same moved side to side. Therefore: 1 metre (known size) will always appear as 1 milliradian at a distance of 1000 metres.

That same metre will appear as 2 milliradians at a distance of 500 metres. Then again 4 mrad at 250, 5 mrad at 200, 10 mrad at 100 metres. Note how the distance halves for every further factor of 2 mrad. What would be the distance to that 1-metre object when measured 8 mrad?

So if you can remember different ‘metre sticks’ common to targets and terrain you encounter, you have a veritable arsenal of rangefinders using just your eyes and quick maths.

 

The specific formula is:

(object size in metres) * 1000 / mrad = (range in metres)

Note how this formula has one unknown for two known quantities: you know the size, because you pick the object, and can read off the mrad, therefore you can calculate the unknown range. 

With this knowledge, you are also not limited to using objects that are exactly 1 metre. You can plug in any number for the object size; 1 metre just makes it easier since you can divide 1000 by the number of mils you measured straight away, because 1 * 1000 is always 1000.

As a note, 1000 is a conversion factor. You could plug in the object size in millimetres without it and get the same effect. We just don't generally think in millimetres.

Therefore, it will serve you well to remember or collect a list of objects that are easy whole numbers either tall or wide. A standing person measures about one metre head to crotch, likewise head to toe when kneeling. You can approximate doors as 2 metres, which is a similarly nice round number for the formula.

ObjectTypical height
Person, standing1.8 m
Person, head to crotch1 m
Person, crouching1 m
BTR-80, height2 m (2.5 m with turret)
BTR-80, length7.7 m
BMP-2, height2 m (2.5 m with turret)
BMP-2, length6.3 m
T-72, height2.2 m
T-72, length7 m (9.5 m with barrel)
Mi-8, height5 m
Mi-8, length18 m
Altis warehouse, wall5 m
Altis warehouse, window1 m
Average door2.1 m (~2 m)
Cobblestone wall, pillar2 m
H-barrier, big2 m
H-barrier, small1.4 m
Sandbags1 m
Bunker tower5 m
Cargo watchtower, height6 m
Cargo tower, height20 m
Cargo HQ, height6 m

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