Minute of Arc - Symbols and Abbreviations

Symbols and Abbreviations

The standard symbol for marking the arcminute is the prime (′) (U+2032), though a single quote (') (U+0027) is commonly used where only ASCII characters are permitted. One arcminute is thus written 1′. It is also abbreviated as arcmin or amin or, less commonly, the prime with a circumflex over it .

The standard symbol for the arcsecond is the double prime (″) (U+2033), though a double quote (") (U+0022) is commonly used where only ASCII characters are permitted. One arcsecond is thus written 1″. It is also abbreviated as arcsec or asec.

The sexagesimal system of angular measurement
Unit Value Symbol Abbreviations In radians (approx.)
Degree 1⁄360 circle ° deg 17.4532925 mrad
Arcminute 1⁄60 degree ′ (prime) arcmin, amin, am, MOA 290.8882087 µrad
Arcsecond 1⁄60 arcminute ″ (double prime) arcsec, asec, as 4.8481368 µrad
Milliarcsecond 1⁄1,000 arcsecond mas 4.8481368 nrad
Microarcsecond 10−6 arcsecond μas 4.8481368 prad

In celestial navigation, seconds of arc are rarely used in calculations, the preference usually being for degrees, minutes and decimals of a minute, written for example as 42° 25′.32 or 42° 25′.322. This notation has been carried over into marine GPS receivers, which normally display latitude and longitude in the latter format by default.

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