EPSG Dataset :: v12.054

Equidistant Cylindrical (Spherical) [DEPRECATED]

Coordinate Operation Method Details [DEPRECATED]

Name:

Equidistant Cylindrical (Spherical)

Code:

9823

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.

This method has one of the simplest formulas available. If the latitude of natural origin (latO) is at the equator the method is also known as Plate Carrée. It is not used for rigorous topographic mapping because its distortion characteristics are unsuitable. Formulas are included to distinguish this map projection method from an approach sometimes mistakenly called by the same name and used for simple computer display of geographic coordinates – see Pseudo Plate Carrée (coordinate operation method code 9825).

For the forward calculation:

X = R . (lon - lonO) . cos(latO)
Y = R . lat

where R = ((a^2 * (1 – e^2)) / (1 – e^2 sin^2 latO)^2)^0.5
and latO, lonO, lat and lon are expressed in radians.

For the Equidistant Cylindrical method on a sphere (not ellipsoid), e = 0 and R = a.

For the reverse calculation:

lat = Y / R
lon = lonO + (X / R cos(latO))

where R is as for the forward method.

Example:

See information source.

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).
Longitude of natural origin	8802	No	The longitude 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 longitude of the point which in the absence of application of false coordinates has grid coordinates of (0,0). Sometimes known as "central meridian (CM)".
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:

See method code 9842 for ellipsoidal development. If the latitude of natural origin is at the equator, also known as Plate Carrée. See also Pseudo Plate Carree, method code 9825.

Information Source:

US Geological Survey Professional Paper 1395; "Map Projections - A Working Manual"; J. Snyder.

Data Source:

EPSG

Revision Date:

March 14, 2008

Change ID:

[2002.92] [2008.003] [2009.023]

Deprecations:

Deprecation Date	ChangeId	Replaced By	Reason
June 7, 2009	[2009.023]	Equidistant Cylindrical (Spherical) (1029)	Changed first parameter.

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.