Maps and geodesy

Coordinate converter: decimal degrees, DMS, UTM and MGRS

Convert WGS84 coordinates between decimal degrees, degrees-minutes-seconds, degrees and decimal minutes, UTM and MGRS, with grid convergence and scale factor.

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Decimal degrees (51.4778, -0.0015) or degrees, minutes and seconds (51°28′40″N, 0°0′5″W).

Showing the worked example. Results update as you type.

Result

Decimal degrees33.3342361, 44.4036278
Degrees, minutes, seconds33°20′03.250″ N, 44°24′13.060″ E
Degrees and decimal minutes33°20.05417′ N, 44°24.21767′ E
UTM38S 444499.99 E 3688500.11 Nzone 38, northern hemisphere
MGRS (1 m)38S MB 44499 8850010 m: 38S MB 4449 8850 · 1 km: 38S MB 44 88
Grid convergence and scale-0.327728°point scale factor 0.99963798
  • All coordinates are on the WGS84 datum. Positions from another datum (for example a national grid) need a datum transformation first.

Method and limits

Latitude and longitude can be typed as decimal degrees (negative for south and west), degrees and decimal minutes, or degrees, minutes and seconds with N, S, E or W. The converter shows every form, plus the Universal Transverse Mercator (UTM) and Military Grid Reference System (MGRS) coordinates of the same point.

UTM

UTM divides the Earth into 60 zones 6° wide, each a transverse Mercator projection with scale 0.9996 on its central meridian, a false easting of 500,000 m and, south of the equator, a false northing of 10,000,000 m. The zone follows the standard exceptions: zone 32V is widened over south-west Norway and zones 31X, 33X, 35X and 37X cover Svalbard. The projection is computed with Krüger’s series to sixth order in the third flattening, as given by Karney (2011), which is accurate to a few nanometres within the zone. Grid convergence is the angle from grid north to true north; the scale factor is the ratio of grid to ellipsoid distance at the point.

MGRS

MGRS writes the UTM zone, an 8° latitude band letter (C to X), a two-letter 100 km square and then equal numbers of easting and northing digits. Digits are truncated, not rounded, so 38SMB4488 names a 1 km square; an MGRS input is converted to the centre of its square.

Worked example (from GeographicLib’s GeoConvert documentation): 33°20′03.25″N, 44°24′13.06″E is 33.33424°, 44.40363°, UTM 38N 444500 3688500 and MGRS 38SMB4488 at 1 km precision.

Limits

All values are on WGS84 (GPS and web maps). Coordinates on another datum, such as a national grid or NAD27, differ by metres to hundreds of metres and need a datum transformation first. UTM and MGRS stop at 80°S and 84°N; the polar UPS system is not handled.

References

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