# Office of Geomatics

Enabling GEOINT accuracy through geodetic, geophysical and photogrammetric sciences and content.

"Geodesy remains our life blood"

-- Robert Cardillo, NGA Director
The Director's Intent, 10/3/14
Products and/or services described may only be available to authorized customers.

### Coordinate Systems

The NGA Office of Geomatics defines, converts, and portrays coordinate systems for the National System of GEOINT and its mission partners.

##### Grids and Graticules - Definitions

Grid
A grid, or more specifically a Grid Reference System, is a means by which to reference locations on the Earth's surface using a two dimensional Cartesian coordinate system referenced to a map projection. A grid coordinate defining a location consists of and is written as an ordered pair of x and y values expressed in linear units. Standard grid reference systems used by NGA and DoD are the Universal Transverse Mercator (UTM) and the Military Grid Reference System (MGRS). Both of these grid reference systems use the meter as the unit of measure and define an easting (x) and northing (y) referenced to a series of transverse Mercator map projections with specific projection parameters.

Graticule
A graticule, or more specifically a Geographic Reference System, is a means by which to reference locations on the Earth using a system of angles. A geographic coordinate defining a location is usually expressed in angular units of latitude and longitude. Latitude (φ - phi) is the angle between the equatorial plane and the straight line that passes through the point in question and the center of the reference shape (WGS84 ellipsoid). Longitude (Λ - lambda) is the angle east or west of the reference meridian (Greenwich Prime Meridian) to another meridian that passes through the point in question. The standard geographic reference system used by NGA and DoD are latitude and longitude expressed in sexagesimal (base 60) numbering system.

##### Global Area Reference System (GARS)

GARS is the standardized battlespace area reference system. It is based on lines of longitude (LONG) and latitude (LAT), and is used to provide an integrated common frame of reference for joint force situational awareness to facilitate air-to-ground coordination, deconfliction, integration, and synchronization. This area reference system provides a common language between components and simplifies communications. It is important to note that GARS is primarily designed as a battlespace management tool and not to be used for navigation or targeting.

##### Design

GARS divides a surface of the earth into 30-minute by 30-minute cells. Each cell is identified by a five-character designation (ex. 006AG). The first three characters designate a 30-minute wide longitudinal band. Beginning with the 180° meridian and proceeding eastward, the bands are numbered from 001 to 720, so that 180° E to 179° 30'W is band 001; 179° 30'W to 179° 00'W is band 002; and so on. The fourth and fifth characters designate a 30-minute wide latitudinal band. Beginning at the south pole and proceeding northward, the bands are lettered from AA to QZ (omitting I and O) so that 90° 00'S to 89° 30'S is band AA; 89° 30'S to 89° 00'S is band AB; and so on.

• Each 30-minute cell is divided into four 15-minute by 15-minute quadrants:
• The quadrants are numbered sequentially, from west to east, starting with the northernmost band. Specifically, the northwest quadrant is "1"; the northeast quadrant is "2"; the southwest quadrant is "3"; the southeast quadrant is "4".
• Each quadrant is identified by a six-character designation (ex. 006AG3). The first five characters comprise the 30-minute cell designation. The sixth character is the quadrant number.
• Each 15-minute quadrant is divided into nine 5-minute by 5-minute areas:
• The areas are numbered sequentially, from west to east, starting with the northernmost band. The graphical representation of a 15-minute quadrant with numbered 5-minute by 5-minute areas resembles a telephone keypad.
• Each 5-minute by 5-minute area, or keypad "key" is identified by a seven-character designation. The first six characters comprise the 15-minute quadrant designation. The seventh character is the keypad "key" number (ex.006AG39).

##### Military Grid Reference Systems (MGRS)

MGRS is an alpha-numeric system for expressing UTM/UPS coordinates. A single alpha-numeric value references a position that is unique for the entire earth. Using "15SWC8081751205" as an example, the components of MGRS values are as follows:

The first two characters represent the 6° wide UTM zone:
• Leading zeros are included so that Zone 9 is "09".
• For polar areas outside the UTM area, these characters are omitted.
The third character is a letter designating a band of latitude:
• Beginning at 80°S and preceding northward, the 20 bands are lettered C through X, omitting I and O.
• The bands are all 8° high except band X, which is 12° high.
• Outside the UTM area, and in leu of UTM zone numbers, A and B are used near the South Pole, Y and Z near the North Pole.
• The vertical UTM boundaries and horizontal latitude band boundaries form (generally) 6° X 8° Grid Zones. Hence, the first three letters of the MGRS value, e.g. "15S", are referred to as the Grid Zone Designator (GZD).

The fourth and fifth characters are a pair of letters identifying one of the 100,000-meter grid squares within the grid zone (or UPS area). See figure to the right.

• In the figure sample area, the Grid Zone Designators are shown in brown. The smaller gray letters are the 100,000-meter grid square identifiers. The example point "15SWC8081751205" is located in the square "WC" near the center of the figure.

Warning! For MGRS, the letter after the UTM zone designates a latitude band. UTM has two widely used coordinate formats; one incorporates the MGRS latitude band letters, the other uses "N" and "S" to denote hemisphere. Caution must be used to not confuse the letter "S" band letter for a hemisphere designation and vice versa.

The remaining characters within the MGRS coordinate correspond to the UTM values starting with the numbers in the ten-thousands place in the Easting and Northing, and including more numbers depending on desired precision level. See figure to right. MGRS coordinates may be rounded to reflect lesser refinement. For example:

• 15SWC8081751205 is at 1-meter refinement
• 15SWC80825121 is at 10-meter refinement
• 15SWC808512 is at 100-meter refinement
• 15SWC8151 is at 1000-meter refinement

There are two lettering schemes for the 100,000-meter grid square identifiers. Generally, one scheme is used for WGS-84, and the other is used for older ellipsoids associated with the local datums:

• Example: 15SWC8081751205 is on WGS-84. When converted to NAD-27 datum, Clarke 1866 ellipsoid, its value is: 15SWN8083350993
• The 100,000-meter grid square "WC" for WGS-84 generally coincides with the grid square "WN" for Clarke 1866.

The magenta arrows show how MGRS Easting and Northing values are determined from within the 100,000-meter grid square. The MGRS value of this position is 15SWC8081751205. See figure to the right.

##### Universal Transverse Mercator (UTM)

UTM coordinates are based on a family of 120 Transverse Mercator map projections (two for each UTM zone, with one for each N/S hemisphere).

Numbering of zones begins at 180° and proceeds eastward:

• Zone 1 is from 180°W to 174°W
• Zone 2 is from 174°W to 168°W, and so on

Each zone also has a central meridian:

• Zone 1 central meridian is 177°W,
• Zone 2 central meridian is 171°W, and so on
##### Design

UTM divides the earth into 60 zones, each 6° wide in longitude (with the exception of a few non-standard-width zones for Svalbard and southwest Norway).

UTM is limited to the area between 84°N and 80°S. Beyond that, Universal Polar Stereographic (UPS) coordinates are used. See section on UPS.

• The X value, called the Easting, has a value of 500,000m at the central meridian of each zone. See figure on left.
• The Y value, called the Northing, has a value of 0m at the equator for the northern hemisphere and 10,000,000m at the equator for the southern hemisphere. See figure on right.
##### Positioning

UTM divides the earth into 60 zones, each 6° wide in longitude (with the exception of a few non-standard-width zones for Svalbard and southwest Norway).

• In the UTM system, positions are expressed as Easting / Northing, e.g. "580817mE, 4251205mN". In some cases, the letters are left off, e.g. "580817 4251205".
• If positions occur near UTM zone junctions, the UTM zone may also be specified, e.g. "580817mE, 4251205mN, Zone 15".
• Since the above expresses two possible positions on the earth, the hemisphere may also be specified, e.g. "580817mE, 4251205mN, Zone 15, Northern Hemisphere" (Figure 4).
• Many systems abbreviate the above, representing the hemisphere as a single letter, "N" for northern hemisphere, and "S" for southern hemisphere, e.g. "15N 580817 4251205".

Warning! In many systems, the letter after the zone number designates a latitudinal band, not a hemisphere.
##### Design

The Universal Polar Stereographic (UPS) Systems coordinates are based on a family of two Polar Stereographic map projections, one for each pole.

• The origin of the UPS coordinate system is at the poles, where X=2,000,000m and Y=2,000,000m.
• The X-axis lies along the meridians 90°E and 90°W:
• Moving from the pole (north or south), X-values (Eastings) increase along the 90°E meridian
• The Y-axis lies along the meridians 0° and 180°:
• Moving from the North Pole, Y-values (Northings) increase along the 180° meridian.
• Moving from the South Pole, Y-values (Northings) increase along the 0° meridian.

UPS North, 100km MGRS Letters: top image
UPS South, 100km MGRS Letters: bottom image

Warning! In many systems, the letter after the zone number designates a latitudinal band, not a hemisphere.

##### Latitude/longitude

Latitude/longitude is a geographic reference system used to define positions on the Earth. It consists of angles of latitude that are measured from the center of the Earth and are referenced starting at the Equator, which is assigned 0°. Moving north and south of the Equator, latitudes increase in number from 0° to 90° at the two poles. Angles of longitude are also measured from the center of the Earth and are referenced starting at the Prime Meridian, which is assigned 0°. Moving east and west of the Prime Meridian, longitudes increase in number from 0° to 180°. A Latitude/Longitude coordinate must include Latitude and Longitude parts in conjunction to define a location.

Following the sexagesimal, base 60, system, degrees can be subdivided into 60 minutes, and minutes can be subdivided into 60 seconds, for the purpose of increased precision level. This can result in several formats, such as degrees-minutes-seconds, degrees-decimal minutes, and decimal degrees. The more digits included in the coordinate string, the higher the precision level.

To indicate hemisphere, the abbreviations for north, south, east, and west (NSEW) are commonly used. An alternate manner to indicate hemisphere is to use the minus sign for latitudes in the southern hemisphere and longitudes in the eastern hemisphere. The plus sign is usually not written and indicates northern or western hemisphere.

##### World Geographic Reference (GEOREF) System

The World Geographic Reference System (GEOREF) is an area reference system used for interservice reporting for air defense and strategic air operations. It provides a method of expressing position in a form suitable for reporting and plotting and may be applied to any map or chart graduated in latitude and longitude. Click here for a detailed description of the GEOREF system.

##### United States National Grid (USNG)

The USNG is a coordinate reference system used for locating points and areas on the surface of the Earth and is functionally equivalent to the Military Grid Reference System (MGRS). The main difference between the two systems is in the method for specifying the datum. In MGRS, an alternate lettering scheme (Old Letters) is used for the 100,000-meter Square Identifier when the position is referenced to an older datum. The USNG does not use the alternate lettering scheme, but simply specifies the datum after the position reference. For example, a position on the NAD27 datum is reported in the two systems as follows:

• MGRS: 15SWN8083350993
##### Specialty Grids

The NGA Office of Geomatics maintains the following specialty grids:

• World Aeronautical Chart (WAC): A charting system bounded by parallels and meridians usually at 4° increments chosen to create areas approximately 240nm x 360nm.
• Air Target Chart (ATC): A subdivision of the World Aeronautical Chart (WAC) charting system. There are 25 ATCs within each WAC.
• World Target Mosaic (WTM): A subdivision of the Air Target Chart (ATC), which is in turn a subdivision of the World Aeronautical Chart (WAC) charting system. A WTM usually covers an area 12nm x 18nm and is the basic collection unit for Broad Area Search (BAS) imagery. There are 16 WTMs within each ATC.
• WAC Target Mosaic Subcell (WTMS): A subdivision of the World Target Mosaic (WTM), which is a subdivision of the Air Target Chart (ATC), which is in turn a subdivision of the World Aeronautical Chart (WAC) charting system. There are 24 WTMS within a WTM.
• Rapid Worldwide Area Collection 9x9 (RWAC 9x9): A subcell of the World Aeronautical Chart (WAC) charting system defined as a WAC is divided into 27 rows x 40 columns. A system of RWAC 9 x 9 areas is a target reference and planning tool, which uses a ten-digit identifier that uniquely identifies a four-corner geographic area configured as a 9nm x 9nm box.
• Rapid Worldwide Area Collection 3x3 (RWAC 3x3): A subcell of the World Aeronautical Chart (WAC) charting system defined as a RWAC 9x9 divided into 9 parts (3 rows x 3 columns). It is the basic unit of area search target reporting. A target reference and planning tool, which uses a ten-digit identifier that uniquely identifies a four-corner geographic area configured as a 3nm x 3nm box.
##### Geodetic Research and Packages

Geodetic Research
Geodetic Research is the attempt to discover missing geodetic metadata in regards to coordinate data or maps to give them added spatial context. In most cases, if there is missing geodetic metadata, geodetic research is the process by which geodetic scientists use tools such as GIS, geographic translators, calculations, library of geodetic information and open source to learn likely geodetic reference ellipsoids/datums, grid/map projection parameters, a means by which to convert/translate the information to an NGA geodetic standard and a way to properly display the information and verify its location.

Geodetic Package
A Geodetic Package is a collection of geodetic information for a specific NGA standard map product to ensure that it has the timely and necessary information to properly place reference system lines, proper reference system labels and magnetic information. Geodetic Packages are required of all NGA standard map products and the software program to create them is GEOPAK.

##### GIS Grid Layers
UTM
UTM Zones
UTM Zone 1-60, hemispheres north and south polygon shapefiles
UTM
UTM 10km Polyines
UTM lines at 10km spacing in continent-size shapefiles
UTM
UTM 1km Polyines
UTM lines at 1km spacing in 6°x8° shapefiles
GARS
GARS Polygons
GARS polygons at 30', 15' & 5' granularity in 20°x20° areas as shapefiles & drawing files
MGRS
MGRS 1km Polygons
MGRS polygons at 1km spacing in 6°x8° shapefiles
MGRS
MGRS 100km Polygons
MGRS 100km Square Identifier polygons in 6°x8° shapefiles
MGRS
MGRS 100km Polygons - Worldwide
MGRS 100km Square Identifier polygons - worldwide shapefile
MGRS
MGRS Grid Zone Designator Polygons
MGRS Grid Zone Designator (6°x8°) polygons
MGRS
MGRS 100km Square Identifier Polygons UPS North
MGRS 100km Square Identifier polygons UPS north
MGRS
MGRS 100km Square Identifier Polygons UPS South
MGRS 100km Square Identifier polygons UPS south
##### Gold Data v6.3 Testing For Datum Transformations and Coordinate Conversion Software

While GEOTRANS is the NGA recommended and supported software package for Datum Transformations and Coordinate Conversions, there are occasions when something else is requested or proposed, and needs to be tested. For such occasions, software developers are invited to download the following ZIP collection of test files. These are files created by NGA geodesists working independently of GEOTRANS. The files are simulated data (not measurements) and provide a higher accuracy standard for software performance than does GEOTRANS as of 3/25/2009 for the algorithms treated. Also, in some cases, they allow input values that GEOTRANS does not. Therefore, if developers have not carefully defined the domain of valid inputs and implemented the corresponding input checking, these tests are likely to reveal the lack thereof. The files "Instructions.doc" and "Release_Notes.doc", found in the ZIP, contain further information. This is an ongoing project, and more tests will be added in later releases. Comments are welcome at the e-mail address below.

##### Geodetic Packages (GEOPAK)

A geodetic package is a collection of geodetic metadata used for grid, graticule and magnetic verification for all NGA standard map products. The software to create a geodetic package is GEOPAK and is available at the NGA GEOINT APP Store. PKI certs required.

##### Tiled Image Converter 2.1

The Tiled Image Converter is a GUI based program built by the Naval Research Laboratory that is capable of converting entire pyramids of raster tiles away from the input map projections into one of the output map projections. The input map projections are web Mercator (also known as EPSG::3857), WGS 84 Plate Carree (also known as EPSG::4326), and Mercator. The output map projections are Mercator and Plate Carree. The software is available at the NGA GEOINT APP Store. PKI certs required.

##### Services

Services require PKI certs and allow visualization via the IC Portal or ArcGIS desktop (download). After selecting the link below, additional viewing options may be available by following the link under the "Map Contents" heading.

Air Target Chart (ATC)
Air Target Chart (ATC) is a subdivision of the World Aeronautical Chart (WAC). There are 25 ATC per WAC. ATC is visible at scale of 1:9,000,000 and larger
Global Area Reference System (GARS)
GARS is the standardized battlespace area reference system across DoD which will impact the entire spectrum of battlespace deconfliction.
Latitude/Longitude Graticule
Latitude/Longitude is a geographic coordinate measurement used in mapping, charting, and geodesy to reference positions on the Earth.
Military Grid Reference System (MGRS)
MGRS is an alpha-numeric system for expressing UTM/UPS. A single alpha-numeric value references a position that is unique for the entire earth.
Rapid Worldwide Area Collection (RWAC)
Rapid Worldwide Area Collection (RWAC) is a ten digit identifier that uniquely identifies a four-corner geographic coordinate box configured either as a 3x3nm or 9x9nm box. RWAC is visible at scale of 1:1,000,000 and larger
World Aeronautical Chart (WAC)
World Aeronautical Chart (WAC) is a chart system overlaying the Earth's surface bounded by pairs of parallels at 4 degree increments and meridians at integral degree boundaries chosen to give approximately 360 nautical mile regions.
World Target Mosaic (WTM)
World Target Mosaic (WTM), also referred to as World Aeronatical Chart (WAC) Target Mosiac, is a subdivision of the Air Target Chart (ATC) and is the basic collection unit for the Broad Area Search (BAS) imagery. There are 16 WTM per ATC. WTM is visible at scale of 1:2,000,000 and larger
##### Resources

POINT OF CONTACT
NGA Public Affairs
publicaffairs@nga.mil
Phone: 571-557-5400