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Angular mil

 

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Angular mil



 
 
An angular mil, also mil, is a unit
Units of measurement

The definition, agreement and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day....
 of angle
Angle

In geometry and trigonometry, an angle is the figure formed by two Ray sharing a common endpoint, called the vertex of the angle . The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide...
.

versions of the angular mil are approximately the same size as a milliradian
Radian

The radian is a unit of plane angle, equal to 180/pi Degree , or about 57.2958 degrees, or about 57?17'45?. It is the standard unit of angular measurement in all areas of mathematics beyond the elementary level....
.

angular mil is commonly used by military organizations. Its relationship to the radian gives rise to the handy property that object of size s that subtends an angle ? angular mils is at a distance d = 1000s/?.






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An angular mil, also mil, is a unit
Units of measurement

The definition, agreement and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day....
 of angle
Angle

In geometry and trigonometry, an angle is the figure formed by two Ray sharing a common endpoint, called the vertex of the angle . The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide...
.

Origin of the name

All versions of the angular mil are approximately the same size as a milliradian
Radian

The radian is a unit of plane angle, equal to 180/pi Degree , or about 57.2958 degrees, or about 57?17'45?. It is the standard unit of angular measurement in all areas of mathematics beyond the elementary level....
.

Use

The angular mil is commonly used by military organizations. Its relationship to the radian gives rise to the handy property that object of size s that subtends an angle ? angular mils is at a distance d = 1000s/?. Alternatively, if the distance is known, we can determine the size of an object by s = ?d/1000. The practical form of this that is easy to remember is: 1 mil at 1 km = 1 metre (2p/6.4 ˜ 0.98 m in NATO countries where mil is defined to be 1/6400 of a circle). Another example: 100 mils at 2 km = 200 metres.

In the general case, where neither the distance nor the object size is known, the formulae may be of little use. In practice, sizes of observed objects are known with reasonable accuracy since they are often people, buildings and vehicles. Using the formulae, distances of the objects can be readily calculated without a calculator. In military terms, distances are of course essential for artillery
Artillery

Artillery is a military Combat Arms which employs any apparatus, machine, an assortment of tools or instruments, a system or systems used as weapons for the discharge of large projectiles in combat as a major contribution of fire power within the overall military capability of an armed force....
 bombardments and estimations of journey times.

Artillery forward observers are usually trained to estimate the number of mils using combinations of fingers, their fist, and hand held at arm's length.

Markings on gunsights


Many telescopic sight
Telescopic sight

A telescopic sight, commonly called a scope, is a device used to give additional accuracy using a point of aim for firearms, airguns and crossbows....
s used on rifles have reticles that are marked in angular mils, and these are generally called mil dot scopes. The mil dots serve two purposes, range estimation and trajectory correction. By determining how many angular mils an object of known size subtends, the distance to that object can be estimated with a fair degree of accuracy. Once the distance is known, the drop of the bullet at that range (see external ballistics
External ballistics

External ballistics is the part of the science of ballistics that deals with the behaviour of a non-powered projectile in flight. External ballistics is frequently associated with firearms, and deals with the behaviour of the bullet after it exits the barrel and before it hits the target....
), converted back into angular mils, can be used to adjust the aiming point. Generally mil dot scopes have both horizontal and vertical crosshairs marked; the horizontal and vertical marks are used for range estimation and the vertical marks for bullet drop compensation. Skilled shooters, however, can also use the horizontal dots to compensate for bullet drift due to wind. Mil dot scopes are most suited for long shots under uncertain conditions, such as those encountered by military sniper
Sniper

A sniper is usually a highly trained marksman that shoots targets from Concealment positions or distances exceeding the capabilities of regular personnel....
s and varmint hunters
Varmint rifle

Varmint rifle is an American English term for a small-caliber firearm or high-powered air gun primarily used for varmint hunting?killing animals such as rats, birds, squirrels, gophers and other animals considered to be farm pests....
. In both of those cases, the range to the target is not fixed and shots are taken at extreme ranges, so accurate compensation for bullet drop is required.

The four definitions of the angular mil


There are 2000p
P

P is the sixteenth letter of the modern Latin alphabet. Its name in English language is pronounced pee ....
 milliradians (˜ 6283.185 mrad) in a circle. So a milliradian is just over of a circle. Each of the definitions of the angular mil are similar to that value but are easier to divide into many parts.

}} of a circle in NATO
NATO

The North Atlantic Treaty Organization , also called the Atlantic Alliance, is a military alliance established by the signing of the North Atlantic Treaty on 4 April 1949....
 countries. }}The “real” trigonometric unit of angular measurement of a circle in use by telescopic sight
Telescopic sight

A telescopic sight, commonly called a scope, is a device used to give additional accuracy using a point of aim for firearms, airguns and crossbows....
 manufacturers using (stadiametric) rangefinding in reticles. }} of a circle in the former Soviet Union
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
 and Finland
Finland

Finland , officially the Republic of Finland , is a Nordic countries situated in the Fennoscandian region of northern Europe. It borders Sweden on the west, Russia on the east, and Norway on the north, while Estonia lies to its south across the Gulf of Finland....
 (Finland phasing out the standard in favour of the NATO standard). }} of a circle in Sweden
Sweden

Sweden , officially the Kingdom of Sweden , is a Nordic countries on the Scandinavian Peninsula in Northern Europe. Sweden has land borders with Norway to the west and Finland to the northeast, and it is connected to Denmark by the ?resund Bridge in the south....
. The Swedish term for this is streck, literally "line". Sweden has not been part of NATO nor the Warsaw Pact
Warsaw Pact

The Warsaw Pact was an organization of communist states in Central Europe and Eastern Europe. The treaty was signed in Warsaw, Poland on May 14, 1955 and official copies were made in Russian language, Polish language, Czech language and German language....
. Note however that Sweden is changing its map grid systems and angular measurement to those used by NATO, so the "streck" measurement is about to become obsolete.

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