Nautical mile

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Nautical mile
Historical definition – 1 nautical mile
General information
Unit oflength
SymbolM, NM,[lower-alpha 1] or nmi
Conversions
1 M, NM,[lower-alpha 1] or nmi in ...... is equal to ...
   metre   1,852[1]
   foot   ≈ 6,076.11549
   statute mile   ≈ 1.15078
   cable   10

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A nautical mile is a unit of length used in air, marine, and space navigation, and for the definition of territorial waters.[2][3][4] Historically, it was defined as the meridian arc length corresponding to one minute (<templatestyles src="Sfrac/styles.css" />⁠1/60⁠ of a degree) of latitude at the equator, so that Earth's polar circumference is very near to 21,600 nautical miles (that is 60 minutes × 360 degrees). Today the international nautical mile is defined as exactly 1,852 metres (about 6,076 ft; 1.151 mi).[5] The derived unit of speed is the knot, one nautical mile per hour.

Unit symbol[edit | edit source]

There is no single internationally agreed symbol, with several symbols in use.[1]

History[edit | edit source]

Visual comparison of a kilometre, statute mile and nautical mile

The word mile is from the Latin phrase for a thousand paces: mille passus. Navigation at sea was done by eye[12] until around 1500 when navigational instruments were developed and cartographers began using a coordinate system with parallels of latitude and meridians of longitude.

The earliest reference of 60 miles to a degree is a map by Nicolaus Germanus in a 1482 edition of Ptolemy's Geography indicating one degree of longitude at the Equator contains "milaria 60".[13] An earlier manuscript map by Nicolaus Germanus in a previous edition of Geography states "unul gradul log. et latitud sub equinortiali formet stadia 500 que fanut miliaria 62<templatestyles src="Sfrac/styles.css" />⁠1/2⁠" ("one degree longitude and latitude under the equator forms 500 stadia, which make 62<templatestyles src="Sfrac/styles.css" />⁠1/2⁠ miles").[14] Whether a correction or convenience, the reason for the change from 62<templatestyles src="Sfrac/styles.css" />⁠1/2⁠ to 60 miles to a degree is not explained. Eventually, the ratio of 60 miles to a degree appeared in English in a 1555 translation of Pietro Martire d'Anghiera's Decades: "[Ptolemy] assigned likewise to every degree three score miles."[15]

By the late 16th century English geographers and navigators knew that the ratio of distances at sea to degrees was constant along any great circle (such as the equator, or any meridian), assuming that Earth was a sphere. In 1574, William Bourne stated in A Regiment for the Sea the "rule to raise a degree" practised by navigators: "But as I take it, we in England should allowe 60 myles to one degrée: that is, after 3 miles to one of our Englishe leagues, wherefore 20 of oure English leagues shoulde answere to one degrée."[16] Likewise, Robert Hues wrote in 1594 that the distance along a great circle was 60 miles per degree.[17] However, these referred to the old English mile of 5000 feet and league of 15,000 feet, relying upon Ptolemy's underestimate of the Earth's circumference.[18] In the early seventeenth century, English geographers started to acknowledge the discrepancy between the angular measurement of a degree of latitude and the linear measurement of miles. In 1624 Edmund Gunter suggested 352,000 feet to a degree (5866<templatestyles src="Sfrac/styles.css" />⁠2/3⁠ feet per arcminute).[19][17] In 1633, William Oughtred suggested 349,800 feet to a degree (5830 feet per arcminute).[20] Both Gunter and Oughtred put forward the notion of dividing a degree into 100 parts, but their proposal was generally ignored by navigators. The ratio of 60 miles, or 20 leagues, to a degree of latitude remained fixed while the length of the mile was revised with better estimates of the earth's circumference. In 1637, Robert Norwood proposed a new measurement of 6120 feet for an arcminute of latitude, which was within 44 feet of the currently accepted value for a nautical mile.[21]

Since the Earth is not a perfect sphere but is an oblate spheroid with slightly flattened poles, a minute of latitude is not constant, but about 1,862 metres at the poles and 1,843 metres at the Equator.[22] France and other metric countries state that in principle a nautical mile is an arcminute of a meridian at a latitude of 45°, but that is a modern justification for a more mundane calculation that was developed a century earlier. By the mid-19th century, France had defined a nautical mile via the original 1791 definition of the metre, one ten-millionth of a quarter meridian.[23][24] So <templatestyles src="Sfrac/styles.css" />⁠10,000,000 m/90 × 60⁠ = 1,851.85 m ≈ 1,852 m became the metric length for a nautical mile. France made it legal for the French Navy in 1906, and many metric countries voted to sanction it for international use at the 1929 International Hydrographic Conference.[citation needed]

Both the United States and the United Kingdom used an average arcminute—specifically, a minute of arc of a great circle of a sphere having the same surface area as the Clarke 1866 ellipsoid.[25] The authalic (equal area) radius of the Clarke 1866 ellipsoid is 6,370,997.2 metres (20,902,222 ft).[26] The resulting arcminute is 1,853.2480 metres (6,080.210 ft). The United States chose five significant digits for its nautical mile, 6,080.2 feet, whereas the United Kingdom chose four significant digits for its Admiralty mile, 6,080 feet.

In 1929 the international nautical mile was defined by the First International Extraordinary Hydrographic Conference in Monaco as exactly 1,852 metres (which is 6,076.12 ft).[1] The United States did not adopt the international nautical mile until 1954.[27] Britain adopted it in 1970,[28] but legal references to the obsolete unit are now converted to 1,853 metres (which is 6,079.40 ft).[29]

Similar definitions[edit | edit source]

The metre was originally defined as <templatestyles src="Fraction/styles.css" />1⁄10,000,000 of the length of the meridian arc from the North pole to the equator (1% of a centesimal degree of latitude),[lower-alpha 2] thus one kilometre of distance corresponds to one centigrad (also known as centesimal arc minute) of latitude. The Earth's circumference is therefore approximately 40,000 km. The equatorial circumference is slightly longer than the polar circumference – the measurement based on this (<templatestyles src="Sfrac/styles.css" />⁠40,075.017 km/360 × 60⁠ = 1,855.3 metres) is known as the geographical mile.

Using the definition <templatestyles src="Sfrac/styles.css" />⁠1/60⁠ of a degree of latitude on Mars, a Martian nautical mile equals to 983 m (1,075 yd). This is potentially useful for celestial navigation on a human mission to the planet, both as a shorthand and a quick way to roughly determine the location.[31]

See also[edit | edit source]

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References[edit | edit source]

Mile index.php?title=Category:Units of length index.php?title=Category:Customary units of measurement in the United States

  1. ↑ Alternative meanings of the abbreviation "nm" or "NM" are listed here.
  2. ↑ No meridian was specified in either 1791, 1793, 1795 or 1799 . For example, the Law of 18 Germinal an III (April 7, 1795) states: "Meter, the measure of length equal to the ten-millionth part of a terrestrial meridian contained between the north pole and the equator."[30]
  1. ↑ 1.0 1.1 1.2
  2. ↑
  3. ↑ mile | unit of measurement.  Retrieved 2016-06-10 from Encyclopædia Britannica
  4. ↑ UNITED NATIONS CONVENTION ON THE LAW OF THE SEA.  Retrieved 2016-06-10 from www.un.org
  5. ↑
  6. ↑ WS SIGMET Quick Reference Guide.  Retrieved 2016-06-09 from ICAO
  7. ↑ International Standards and Recommended Practices, Annex 5 to the Convention on International Civil Aviation, “Units of measurement to be Used in Air and Ground Operations”, ICAO, Fifth Edition, July 2010.
  8. ↑ APPENDIX A: SYMBOLS AND PREFIXES.  IEEE.  Retrieved 2016-06-09 from link
  9. ↑ U.S. Government Printing Office Style Manual.  U.S. Government Printing Office.  Retrieved 2016-06-10 from link
  10. ↑ also available as
  11. ↑
  12. ↑ Mile, Nautical and Statute – FREE Mile, Nautical and Statute information | Encyclopedia.com: Find Mile, Nautical and Statute research.  Retrieved 2016-06-10 from www.encyclopedia.com
  13. ↑
  14. ↑
  15. ↑
  16. ↑
  17. ↑ 17.0 17.1
  18. ↑
  19. ↑
  20. ↑
  21. ↑
  22. ↑ RASC Calgary Centre - Latitude and Longitude.  Retrieved 30 August 2019 from The Royal Astronomical Society of Canada
  23. ↑ – Translation by Wikipedia.
  24. ↑
  25. ↑
  26. ↑
  27. ↑ Refinement of values for the yard and the pound.  (June 25, 1959)  National Bureau of Standards.  Retrieved 2018-07-07 from NOAA.gov
  28. ↑ Nautical mile definition and meaning | Collins English Dictionary.  Retrieved 1 September 2019 from Collins Dictionary
  29. ↑ The Units of Measurement Regulations 1995.  Retrieved 2016-06-10 from www.legislation.gov.uk
  30. ↑
  31. ↑
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