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False northing

GIS False eastingFault

false northing
An adjustment constant added to northing coordinate values to eliminate negative numbers. (See also: northing.) ...

 


False Northing, y coordinate of map origin
k0, scale
Scale factor at central meridian [0.1, 10]
lam0
Central meridian, longitude of map origin (-180, 180)
phi0
Central parallel, latitude of map origin or of true scale (-90, 90)
phi1, phi2 ...

All zones have their origin at the equator, use the meter as the system unit, and have a false easting of 500,000 meters and a false northing of 0. A scale reduction factor of 0.9996 is used on all zones.

For locations in the Northern Hemisphere, the origin is assigned a false easting of 500,000 and a false northing of 0. For locations in the Southern Hemisphere, the origin is assigned a false easting of 500,000 and a false northing of 10,000,000.1 ...

If they are negative, you'll have to add a large offset to each value (creating a False Easting and False Northing). ArcGIS doesn't like negative numbers, and you'll get a "Warning: Inconsistent Extent" message if you try and open the XY coords.

UTM Zones
Eastings are measured from the central meridian (with a 500km false easting to insure positive coordinates). Northings are measured from the equator (with a 10,000km false northing for positions south of the equator).
UTM Zone 14 ...

The false origin is offset so that the central meridian is at 500,000 metres east. The false Northing is zero metres in the northern hemisphere and 10,000,000 metres in the southern hemisphere. The scaling factor on the central meridian is 0.99960.

quadrangles in the northern hemisphere, and 10,000,000 for quadrangles in the southern hemisphere. Since the distance from poles to Equator is approximately 10,000 km, such offset origins ensure coordinates (called false eastings and false northings) ...

In our Data Frame Proeprties modify the coordinate system properties, Changing the False Easting to 0, and the False Northing to -143000. This basically shifts our coordinates closer to the origin.

drawn through the center of each grid zone (and given an arbitrary easting of 500,000 meters). In the northern hemisphere, northings are read in meters from the equator (0 meters). In the southern hemisphere, the equator is given the false northing ...

See also: Coordinate, Origin, Area, Easting, Map