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Lat Long to UTM Converter

Convert WGS84 latitude and longitude to UTM zone, hemisphere, easting, northing, latitude band, and central meridian with projection notes.

Published

UTM coordinate
Zone 18N
583,959 E, 4,507,351 N
Zone number
18
Hemisphere
Northern
Latitude band
T
Easting
583,959 m
Northing
4,507,351 m
Central meridian
-75Β°

WGS84 latitude 40.7128Β°, longitude -74.006Β° converts to UTM zone 18N.

Decimal degrees on WGS84. UTM is defined from 80 degrees south to 84 degrees north.
Β°
Decimal degrees east or west of Greenwich on WGS84.
Β°

Results update as you type.

Lat Long to UTM Converter

Latitude and longitude describe a position as angles on the Earth. UTM, the Universal Transverse Mercator system, describes most of the world as meter coordinates inside numbered zones. This calculator converts WGS84 latitude and longitude in decimal degrees into a UTM zone, hemisphere, easting, northing, latitude band, and central meridian.

This is a geospatial projection calculator, not a plain angle converter. A latitude-longitude pair such as 40.7128, -74.0060 contains angular coordinates. A UTM result such as zone 18N, 583959 E, 4507351 N is a projected grid coordinate in meters. The conversion depends on the WGS84 ellipsoid, the selected zone, the transverse Mercator projection, false easting, false northing, and the UTM latitude limits.

If your input coordinates are in DMS notation, first use the coordinates converter. For the DMS angle pieces themselves, see the degrees minutes seconds calculator. For non-geographic angles, use the angle converter. If you only need distance units after projection work, the length converter handles meters, feet, miles, and related units.

What the conversion method does

The form reads latitude and longitude as decimal degrees. It requires finite numbers, latitude from -80 through 84, and longitude from -180 through 180. Those limits reflect standard UTM coverage. The calculator does not accept polar coordinates outside that band.

Zone selection starts with longitude. The base formula divides the world into 60 six-degree zones. Longitude 180 is forced to zone 60. The conversion method also includes the Norway exception for latitudes from 56 through less than 64 degrees north and longitudes from 3 through less than 12 degrees east, assigning zone 32. It includes Svalbard exceptions for latitudes from 72 through less than 84 degrees north, assigning zones 31, 33, 35, or 37 for specific longitude ranges.

After the zone is chosen, the central meridian is calculated as the zone’s middle longitude. The function converts latitude, longitude, and central meridian to radians. It uses WGS84 constants for semi-major axis and flattening, computes eccentricity terms, and applies a transverse Mercator series with scale factor 0.9996. Easting receives a 500000 meter false easting. If latitude is south of the equator, northing receives a 10000000 meter false northing. The displayed easting and northing are rounded to whole meters.

Formula

The base zone formula is:

zone=⌊longitude+1806βŒ‹+1\text{zone} = \left\lfloor \frac{\text{longitude} + 180}{6} \right\rfloor + 1

The central meridian is:

Ξ»0=(zoneβˆ’1)Γ—6βˆ’180+3\lambda_0 = \left(\text{zone} - 1\right) \times 6 - 180 + 3

With WGS84 eccentricity terms, the calculator follows the transverse Mercator series. The easting has this structure:

E=500000+k0N(A+(1βˆ’T+C)A36+(5βˆ’18T+T2+72Cβˆ’58eβ€²2)A5120)E = 500000 + k_0 N \left(A + \frac{\left(1 - T + C\right)A^3}{6} + \frac{\left(5 - 18T + T^2 + 72C - 58e'^2\right)A^5}{120}\right)

The northing uses the meridional arc and higher-order latitude terms:

NU=k0(M+Ntan⁑(Ο•)(A22+(5βˆ’T+9C+4C2)A424+(61βˆ’58T+T2+600Cβˆ’330eβ€²2)A6720))N_U = k_0 \left(M + N\tan \left(\phi\right) \left(\frac{A^2}{2} + \frac{\left(5 - T + 9C + 4C^2\right)A^4}{24} + \frac{\left(61 - 58T + T^2 + 600C - 330e'^2\right)A^6}{720}\right)\right)

For southern latitudes, the conversion method adds 10000000 meters to the northing.

Check a sample conversion

The default input is latitude 40.7128Β° and longitude -74.006Β°, near New York City. The zone formula gives:

βŒŠβˆ’74.006+1806βŒ‹+1=18\left\lfloor \frac{-74.006 + 180}{6} \right\rfloor + 1 = 18

The hemisphere is N because the latitude is positive. The central meridian is:

(18βˆ’1)Γ—6βˆ’180+3=βˆ’75∘\left(18 - 1\right) \times 6 - 180 + 3 = -75^\circ

The latitude band lookup returns T. Applying the WGS84 transverse Mercator series, then rounding the computed meter values, gives 583959 m easting and 4507351 m northing. The primary result label is Zone 18N, and the value is 583,959 E, 4,507,351 N. The item list also shows zone number 18, Northern hemisphere, latitude band T, easting, northing, and central meridian -75Β°.

Reference table

LatitudeLongitudeZoneBandEastingNorthingCentral meridian
40.7128-74.006018NT583,959 m4,507,351 m-75Β°
51.5074-0.127830NU699,316 m5,710,164 m-3Β°
-33.8688151.209356SH334,369 m6,250,948 m153Β°

Domains and pitfalls

UTM is popular in surveying, GIS, hiking maps, engineering plans, military grid workflows, and field data collection because meters are easier to measure on the ground than angular degrees. A distance between nearby projected points can be handled more intuitively than a distance between latitudes and longitudes, provided both points are in the same appropriate coordinate system.

Zone selection is the most common source of errors. A coordinate near a zone boundary can be valid in more than one project workflow, but the easting depends on the zone used. Always record zone number and hemisphere with the numeric grid coordinate. Another common problem is entering longitude with the wrong sign. West longitudes are negative in this form; east longitudes are positive. A New York longitude entered as +74.006 would land on the wrong side of the world and in a different zone.

Datum is another important limitation. The calculator uses WGS84 ellipsoid constants. If a survey monument or GIS layer is tied to a different datum, a proper datum transformation may be needed before or after projection. Finally, do not use UTM for polar regions beyond 80Β°S or 84Β°N; those areas use a polar stereographic system instead.

Sources

  • NGA, World Geodetic System 1984 β€” authoritative WGS84 reference material.
  • NOAA National Geodetic Survey, Datums β€” geodetic datum context for coordinate transformations.
  • USGS, Map Projections β€” overview of map projections, including the role of projected coordinates.
  • NOAA National Geodetic Survey, Understanding State Plane Coordinates β€” projection and coordinate-system background for survey users.

Frequently asked questions

What datum does this converter use?
The calculator uses WGS84 ellipsoid constants in its forward projection: semi-major axis 6378137 meters and flattening 1 divided by 298.257223563. It assumes the entered latitude and longitude are WGS84 decimal degrees. It does not transform coordinates from NAD83, local datums, or historical map datums.
What latitude range is valid for UTM?
Standard UTM is defined from 80 degrees south to 84 degrees north. The form enforces that range and rejects latitudes outside it. Polar work uses a different Universal Polar Stereographic system, so forcing Arctic or Antarctic coordinates into UTM would produce misleading grid values.
How is the UTM zone selected?
The base zone formula divides longitude into 60 zones, each 6 degrees wide, starting at 180 degrees west. The conversion method also includes the standard Norway and Svalbard exceptions. Longitude 180 degrees is assigned to zone 60 rather than creating a zone 61.

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