Definitions for maps and artillery Milliradian

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map measure m/70 of nato member denmark full circle divided 6400 nato mils



in swiss army, 6400 artillery per milles ( artilleriepromille ) used indicate absolute indication of direction using notation 0 ‰ (corresponding 6400 ‰) points north, instead of using nato mils direction relative target (0 or 6400 nato mils towards target).


because of definition of pi, in circle diameter of 1 there 2000π milliradians (≈ 6283.185 mil) per full turn. in other words, 1 real milliradian covers under 1/6283 of circumference of circle, definition used telescopic rifle sight manufacturers in reticles stadiametric rangefinding.


for maps , artillery, 3 rounded definitions used close real definition, more can divided parts. different map , artillery definitions are:



1/6400 of circle in nato countries.
1/6000 of circle in former soviet union , finland (finland phasing out standard in favour of nato standard).
1/6300 of circle in sweden. swedish term streck, literally line . sweden (and finland) have not been part of nato nor warsaw pact. note sweden has changed map grid systems , angular measurement used nato, streck measurement obsolete.

reticles in artillery sights calibrated relevant artillery definition military, i.e. carl zeiss oem-2 artillery sight made in ddr 1969 1976 calibrated eastern block 6000 mil circle.


conversion table

(values in bold face exact.)



1 trigonometric milliradian (mil) ≈ 3.43774677078493′
1 nato mil = 3.375′ exactly
1 warsaw pact mil = 3.6′ exactly

use in artillery sights

artillery uses angular measurement in gun laying, azimuth between gun , target many kilometres away , elevation angle of barrel. means artillery uses mils graduate indirect fire azimuth sights (called dial sights or panoramic telescopes), associated instruments (directors or aiming circles), elevation sights (clinometers or quadrants), manual plotting devices, firing tables , fire control computers.


artillery spotters typically use calibrated binoculars walk fire onto target. here know approximate range target , can read off angle (+ quick calculation) give left/right corrections in metres.







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