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Lambert Azimuthal Equal Area

Release 9.3
Last modified October 21, 2008
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Description

This projection preserves the area of individual polygons while simultaneously maintaining a true sense of direction from the center. The general pattern of distortion is radial. It is best suited for individual land masses that are symmetrically proportioned, either round or square.

Illustration of the Lambert Azimuthal Equal Area projection



Projection method

Planar, projected from any point on the globe. This projection can accommodate all aspects: equatorial, polar, and oblique.


Point of tangency

A single point, located anywhere, specified by longitude and latitude.


Linear graticules




Properties


Shape


Shape is minimally distorted, less than 2 percent, within 15° from the focal point. Beyond that, angular distortion is more significant; small shapes are compressed radially from the center and elongated perpendicularly.

Area


Equal area.

Direction


True direction radiating from the central point.

Distance


True at center. Scale decreases with distance from the center along the radii and increases from the center perpendicularly to the radii.


Limitations

The data must be less than a hemisphere in extent. The software cannot process any area more than 90° from the central point.


Uses and applications




Parameters


Desktop





Lambert Azimuthal Auxiliary Sphere (Desktop version 9.3 and later)





NOTE: The Auxiliary Sphere Type parameter accepts 0 (use semimajor axis or radius of the geographic coordinate system), 1 (use semiminor axis or radius), 2 (calculate and use authalic radius), or 3 (use authalic radius and convert geodetic latitudes to authalic latitudes).



Workstation





NOTE: Supported on spheres only.


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