EPSG Dataset :: v12.054

Transverse Mercator Zoned Grid System

Coordinate Operation Method Details [VALID]

Name:

Transverse Mercator Zoned Grid System

Code:

9824

Operation is Reversible:

Yes

Formula:

Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided.

The standard Transverse Mercator formulas (coordinate operation method 9807) are modified as follows:

Zone number, Z, = [(int((Long - LongI) / W) mod(360 / W)) + 1] with Long, LongI and W in degrees.
where (LongI) is the Initial Longitude of the zoned grid system (the western limit of zone 1)
and W is the width of each zone of the zoned grid system.

In the formula above, mod = (a - floor(a / b) * b) where 'floor' is defined as rounding toward negative infinity. Z is in the range 1 ≤ Z ≤ (360/W) and for UTM 1 ≤ Z ≤ 60.

Then,
Long0 = LongI + (Z * W) – (W/2)

For the forward calculation,
Easting, E = Z*10^6 + FE + k0.nu[A + (1 - T + C)A^3/6 + (5 - 18T + T^2 + 72C - 58e'^2)A^5/120]

and in the reverse calculation for longitude,
D = (E – [FE + Z*10^6])/(nu1.k0)

Example:

(none)

Method
Parameters:

Parameter Name	Parameter Code	Sign reversal	Parameter Description
Latitude of natural origin	8801	No	The latitude of the point from which the values of both the geographical coordinates on the ellipsoid and the grid coordinates on the projection are deemed to increment or decrement for computational purposes. Alternatively it may be considered as the latitude of the point which in the absence of application of false coordinates has grid coordinates of (0,0).
Initial longitude	8830	No	The longitude of the western limit of the first zone of a Transverse Mercator zoned grid system.
Zone width	8831	No	The longitude width of a zone of a Transverse Mercator zoned grid system.
Scale factor at natural origin	8805	No	The factor by which the map grid is reduced or enlarged during the projection process, defined by its value at the natural origin.
False easting	8806	No	Since the natural origin may be at or near the centre of the projection and under normal coordinate circumstances would thus give rise to negative coordinates over parts of the mapped area, this origin is usually given false coordinates which are large enough to avoid this inconvenience. The False Easting, FE, is the value assigned to the abscissa (east or west) axis of the projection grid at the natural origin.
False northing	8807	No	Since the natural origin may be at or near the centre of the projection and under normal coordinate circumstances would thus give rise to negative coordinates over parts of the mapped area, this origin is usually given false coordinates which are large enough to avoid this inconvenience. The False Northing, FN, is the value assigned to the ordinate (north or south) axis of the projection grid at the natural origin.

Meta Data

Remarks:

If locations fall outwith the fixed zones the general Transverse Mercator method (code 9807) must be used for each zone.

Information Source:

EPSG guidance note #7-2, http://www.epsg.org

Data Source:

EPSG

Revision Date:

July 14, 2017

Change ID:

[2017.018] [2017.011]

Alias:

Alias	Naming System	Remarks
UTM	EPSG abbreviation
UTM grid system	EPSG abbreviation

Wildcard	Example
% or *	Any wildcard characters
? or _	One wildcard character
[ - ]	[ - ] Range e.g. N[a-c] will return all geodetic objects that contains a string starting with the letter 'N' or 'n' followed by any of the letters contained within the range specified within the square bracket, e.g. letters a, b and c.
\|	Or e.g. E[a\|e]M will return all geodetic objects that contains a string starting with the letter E(e), ends with the letter M(m) and also contain either the letter a or letter e.