Coordinate Converter

One point, four formats: decimal degrees, DMS, UTM and MGRS.

Convert a GPS point between decimal degrees, degrees-minutes-seconds, UTM and MGRS, in either direction. All conversions use the WGS84 ellipsoid, the same datum GPS uses. UTM covers latitudes from 80 degrees south to 84 degrees north; beyond that, the polar stereographic grid applies and this tool says so instead of guessing.

UTM northing alone does not say which hemisphere a point is in, so pick it here. A southern point has 10,000,000 metres added to its northing.

Honest limits. UTM and MGRS describe the same point only on the same datum: a coordinate copied from an old paper map may sit on a different datum and land hundreds of metres away on a GPS map, and this tool does not shift datums. MGRS references are truncated, not rounded, so converting a point to MGRS and back lands at the south-west corner of the grid square, not the original point, and the back-conversion here reports that corner. UTM zone exceptions near Norway and Svalbard (zones 32V, 31X, 33X, 35X, 37X) are not applied: the standard zone rule is used, and points there should be checked against a map of the exception zones.

Four ways to write the same point

Decimal degrees are what GPS receivers and web maps use: one number for latitude, one for longitude, with south and west negative. Degrees, minutes and seconds are the older written form, the one on paper maps and in property deeds: each degree splits into 60 minutes, each minute into 60 seconds, and a letter says which hemisphere. UTM cuts the world into 60 zones, each 6 degrees of longitude wide, and measures metres east and north inside the zone, which is why surveyors and rescue teams prefer it: distances on the ground read straight off the numbers. MGRS is the military shorthand for UTM: the zone and a latitude band letter, then two letters naming a 100 km square, then the metres inside that square, compact enough to read over a radio.

The conversions are exact in the mathematical sense and approximate in the practical sense. The earth is modelled as the WGS84 ellipsoid, a smooth mathematical shape, while the real ground is lumpy; the projection maths is accurate to well under a metre inside a zone, but a point near a zone edge belongs to the neighbouring zone's map just as well, and a coordinate from a different datum can be off by hundreds of metres. When a conversion matters for navigation, check the result on a map you trust before you walk to it.

How a UTM zone is picked

Zone number = floor((longitude + 180) / 6) + 1, so longitude 46.6753 degrees east falls in zone 38, whose central meridian is 45 degrees east. Easting is measured from a false origin 500,000 metres west of that meridian, so it never goes negative inside the zone; northing is measured from the equator, with 10,000,000 metres added in the southern hemisphere for the same reason.

How MGRS letters work

Each zone is split into latitude bands 8 degrees tall, lettered C at 80 degrees south to X at 84 degrees north, skipping I and O. Inside a band, 100 km squares get two letters: the first from the easting column, the second from the northing row, with the letter sets rotating by zone so neighbouring zones do not repeat the same square letters at the same place.

Frequently Asked Questions

WGS84, the datum GPS uses. Coordinates from old paper maps on other datums can differ by hundreds of metres; this tool does not convert between datums.
Zone = floor((longitude + 180) / 6) + 1. Each zone is 6 degrees of longitude wide, numbered 1 to 60 from 180 degrees west. The central meridian of the zone gets a false easting of 500,000 metres, and the southern hemisphere adds a false northing of 10,000,000 metres.
MGRS references are truncated, not rounded. A 5-digit MGRS reference names a 1-metre square, and converting back returns its south-west corner. Shorter references name bigger squares: 4 digits is 10 metres, 3 digits is 100 metres, 2 digits is 1 kilometre.
Bands 8 degrees tall, lettered C at 80 degrees south up to X at 84 degrees north, skipping I and O. Band X is 12 degrees tall, covering 72 to 84 degrees north. Letters N and later are the northern hemisphere, C to M the southern.
No. UTM is defined only from 80 degrees south to 84 degrees north; beyond that the Universal Polar Stereographic grid applies. This tool refuses polar latitudes instead of producing a wrong grid reference.
No. Every conversion runs in your browser. Nothing leaves your device.

Related Tools

Was this tool helpful?

Comments

Loading comments...

Check Out Other Popular Tools