How to convert arcseconds to milliradians
To convert a measurement in arcseconds to milliradians, multiply the value by 0.004848136811. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ″ to milliradians: 5 × 0.004848136811 = 0.024240684055 mrad.
What is a arcsecond?
An arcsecond is a unit of angle equal to 1/60 of an arcminute, 1/3,600 of a degree, or 1/1,296,000 of a full turn. It is written with a double-prime symbol (″). The arcsecond continues the Babylonian sexagesimal subdivision one step further and became essential in astronomy, where stellar parallaxes are measured in fractions of an arcsecond (the parsec is defined from it).
Common uses of arcseconds include: Stellar parallax and astrometry; Telescope resolution and seeing conditions; High-precision surveying and geodesy; Satellite and spacecraft pointing accuracy.
What is a milliradian?
A milliradian is one thousandth of a radian. At a distance of 1,000 units it subtends almost exactly 1 unit, which makes it convenient for range and angle estimation. The milliradian became widely used in the military for artillery and rifle sighting because of its clean relationship between angle and distance. Riflescopes commonly use 'mil' adjustments and reticles based on it.
Common uses of milliradians include: Rifle and artillery sighting (mil-dot reticles); Range estimation from known target size; Laser divergence and beam-spread specifications; Precision optics and alignment.
Arcseconds to milliradians worked examples
Here are some common values converted:
1 ″ = 0.004848136811 mrad 5 ″ = 0.024240684055 mrad 10 ″ = 0.048481368111 mrad 50 ″ = 0.242406840555 mrad 100 ″ = 0.484813681109 mrad
Frequently asked questions
How many milliradians are in one arcsecond?
One arcsecond (″) equals 0.004848136811 milliradians (mrad). Multiply any value in arcseconds by 0.004848136811 to convert to milliradians.
How do I convert arcseconds to milliradians?
Multiply the value in arcseconds by 0.004848136811. For example, 5 ″ × 0.004848136811 = 0.024240684055 mrad.
How do I convert milliradians to arcseconds?
Multiply the value in milliradians by 206.264806, or divide by 0.004848136811. Use the swap button on the converter above to reverse the direction.
Is the arcsecond to milliradian conversion exact?
Angle conversions are exact. Degrees, gradians and revolutions are defined as exact fractions of a full turn (2π radians).
What is the formula for arcseconds to milliradians?
The formula is: mrad = ″ × 0.004848136811. This comes from the definition of both units relative to the radian.