EPSG Dataset :: v12.003

Lambert Cylindrical Equal Area (Spherical)

Coordinate Operation Method Details [VALID]

Name:

Lambert Cylindrical Equal Area (Spherical)

Code:

9834

Operation is Reversible:

Yes

Formula:

For the forward calculation for the normal aspect of the projection in which lat1 is the latitude of the standard parallel:

E = FE R (lon – lonO) cos(lat1)

N = FN R sin(lat) / cos(lat1)

where lat1, lat and lon are expressed in radians

R is the radius of the sphere and will normally be one of the CRS parameters. If the figure of the earth used is an ellipsoid rather than a sphere then R should be calculated as the radius of the authalic sphere using the formula for RA given in EPSG Guidance Note 7-2, section 1.2, table 3.

For the reverse calculation:

lat = asin{[(N – FN) / R] cos(lat1)}

lon = lonO {[E – FE] / [R cos(lat1)]}

where R is as for the forward method.

See information source for formulas for oblique and polar aspects and examples.

Example:

See information source.

Method
Parameters:

Parameter Name	Parameter Code	Sign reversal	Parameter Description
Latitude of 1st standard parallel	8823	No	For a conic projection with two standard parallels, this is the latitude of one of the parallels of intersection of the cone with the ellipsoid. It is normally but not necessarily that nearest to the pole. Scale is true along this parallel.
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:

This is the spherical form of the projection. See coordinate operation method Lambert Cylindrical Equal Area (code 9835) for ellipsoidal form. Differences of several tens of metres result from comparison of the two methods.

Information Source:

"Map Projections - A Working Manual" by John P. Snyder, USGS Professional Paper 1395.

Data Source:

EPSG

Revision Date:

June 29, 2023

Change ID:

[2007.078] [2009.023] [2023.004]

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.