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Minute and second of arc
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==Symbols and abbreviations== The [[Prime (symbol)|prime symbol]] {{char|′}} ({{U+|2032}}) designates the arcminute,<ref name=":3" /> though a single quote {{char|'}} (U+0027) is commonly used where only [[ASCII]] characters are permitted. One arcminute is thus written as 1′. It is also abbreviated as '''arcmin''' or '''amin'''. Similarly, [[double prime]] {{char|″}} (U+2033) designates the arcsecond,<ref name=":3" /> though a double quote {{char|"}} (U+0022) is commonly used where only [[ASCII]] characters are permitted. One arcsecond is thus written as 1″. It is also abbreviated as '''arcsec''' or '''asec'''. {{clear}} {| class="wikitable" style="margin:0 auto;" |+ [[Sexagesimal]] system of [[angle|angular measurement]] |- ! Unit ! Value ! colspan=2 | Symbol ! Abbreviations ! In radians, approx. |- ! scope="row" | [[degree (angle)|Degree]] | {{sfrac|1|360}} turn || ° || [[Degree symbol|Degree]] || deg||align="right"|{{val|17.4532925|u=[[milliradian|mrad]]}} |- ! scope="row" | Arcminute | {{sfrac|1|60}} degree || ′ || [[prime (symbol)|Prime]] || arcmin, amin, am, MOA||align="right"|{{val|290.8882087|u=μrad}} |- ! scope="row" | Arcsecond | {{sfrac|1|60}} arcminute = {{sfrac|1|3600}} degree || ″ || Double prime || arcsec, asec, as || align="right" | {{val|4.8481368|u=μrad}} |- ! scope="row" | Milliarcsecond | 0.001 arcsecond = {{sfrac|1|3600000}} degree || || || mas || align="right" | {{val|4.8481368|u=nrad}} |- ! scope="row" | Microarcsecond | 0.001 mas = {{val|0.000001}} arcsecond || || || μas || align="right" | {{val|4.8481368|u=prad}} |} In [[celestial navigation]], seconds of arc are rarely used in calculations, the preference usually being for degrees, minutes, and decimals of a minute, for example, written as 42° 25.32′ or 42° 25.322′.<ref>{{cite web|title=CELESTIAL NAVIGATION COURSE|url=http://www.learntonavigate.com/celestial.htm|publisher=International Navigation School|access-date=4 November 2010|quote=It is a straightforward method [to obtain a position at sea] and requires no mathematical calculation beyond addition and subtraction of degrees and minutes and decimals of minutes}}</ref><ref>{{cite web|title=Astro Navigation Syllabus|url=http://www.kumquat-data.com/Astro%20Navigation%20Syllabus.htm|access-date=4 November 2010|quote=[Sextant errors] are sometimes [given] in seconds of arc, which will need to be converted to decimal minutes when you include them in your calculation.}}</ref> This notation has been carried over into [[Global Positioning System|marine GPS]] and aviation GPS receivers, which normally display latitude and longitude in the latter format by default.<ref>{{cite web|title=Shipmate GN30 |url=http://norinco.co.in/NCMS/index.php?option=com_content&task=view&id=53&Itemid=81 |archive-url=https://web.archive.org/web/20080124133039/http://norinco.co.in/NCMS/index.php?option=com_content&task=view&id=53&Itemid=81 |url-status=dead |archive-date=24 January 2008 |publisher=Norinco |access-date=4 November 2010 }}</ref>
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