Lat Long to UTM Converter – Convert Lat/Long UTM

The latitude longitude to UTM converter transforms geographic coordinates from the traditional latitude and longitude system to the Universal Transverse Mercator (UTM) coordinate system.

The UTM system divides the Earth into 60 north-south zones, each spanning 6 degrees of longitude. It uses a two-dimensional Cartesian coordinate system that provides locations in meters rather than angular measurements.

The geographic coordinates of New York City (40.7128°N, 74.0060°W) can be converted to UTM coordinates as: Zone 18T, 583960mE, 4507523mN. This indicates that New York City is in UTM zone 18, northern hemisphere (T), 583,960 meters east of the zone’s central meridian, and 4,507,523 meters north of the equator.

Lat Long to UTM Converter

Input Coordinates	UTM Zone	Easting (m)	Northing (m)
40.7128°N, 74.0060°W	18T	583960	4507523
51.5074°N, 0.1278°W	30U	699069	5710003
35.6762°N, 139.6503°E	54S	384834	3947834
33.8688°S, 151.2093°E	56H	334786	6252349

Lat Long to UTM Conversion Formula

Here’s the detailed breakdown:

• Initial Calculations: k0 = 0.9996 (scale factor at central meridian) E = 0.00669438 (eccentricity squared) R = 6378137 (equatorial radius in meters)
• Zone Calculation: Zone Number = ((longitude + 180)/6) + 1 Central Meridian = (Zone Number × 6) – 183
• Core Conversion Equations: N = R/sqrt(1 – E × sin²(latitude)) T = tan²(latitude) C = E × cos²(latitude) A = cos(latitude) × (longitude – Central Meridian)
• Final Easting and Northing: Easting = k0 × N × (A + (1 – T + C) × A³/6 + (5 – 18T + T² + 72C – 58) × A⁵/120) + 500000 Northing = k0 × (M + N × tan(latitude) × (A²/2 + (5 – T + 9C + 4C²) × A⁴/24 + (61 – 58T + T² + 600C – 330) × A⁶/720))

How to Convert Lat Long to UTM?

To convert coordinates:

• Determine the UTM Zone:
  • Add 180° to the longitude
  • Divide by 6
  • Round up to the nearest whole number
• Calculate the Central Meridian:
  • Multiply the zone number by 6
  • Subtract 183
• Apply the Conversion Formulas:
  • Use the equations detailed above
  • Apply the scale factor
  • Add false easting (500,000m)
  • Calculate northing from equator

Converting 45°N, 75°W:

• Zone calculation: ((-75 + 180)/6) + 1 = 18
• Central Meridian: (18 × 6) – 183 = -75°
• Final UTM coordinates: 18T, 500000mE, 4981000mN

How to Convert Lat Long to UTM in Excel?

Excel conversion can be accomplished using a combination of functions:

• Create Input Cells:
  • Cell A1: Latitude
  • Cell B1: Longitude
• Zone Calculation Formula: =INT((180+B1)/6)+1
• Easting Calculation: =500000+0.9996*6378137*RADIANS(B1-(-183+6*C1))*COS(RADIANS(A1))
• Northing Calculation: =0.9996*6378137*RADIANS(A1)*(1+0.006739496742*COS(RADIANS(A1))^2)

References:

• USGS – Geographic Information Systems: https://www.usgs.gov/core-science-systems/national-geospatial-program/gis
• Natural Resources Canada – GPS Positioning: https://www.nrcan.gc.ca/maps-tools-and-publications/satellite-imagery-and-air-photos/tutorial-fundamentals-remote-sensing/9309

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