Specific kinetic energy

An Albers projection shows areas accurately, but distorts shapes.

Albers projection the world, standard parallels 20°N and 50°N.

The Albers equal-area conic projection, or Albers projection (named after Heinrich C. Albers), is a conic, equal area map projection that uses two standard parallels. Although scale and shape are not preserved, distortion is minimal between the standard parallels.

The Albers projection is the standard projection for British Columbia. It is also used by the United States Geological Survey and the United States Census Bureau.

Snyder (Section 14) describes generating formulæ for the projection, as well as the projection's characteristics. Coordinates from a spherical datum can be transformed into Albers equal-area conic projection coordinates with the following formulas, where λ is the longitude, λ₀ the reference longitude, φ the latitude, φ₀ the reference latitude and φ₁ and φ₂ the standard parallels:

$x=\rho \sin \theta$

$y=\rho _{0}-\rho \cos \theta$

where

$n={\tfrac {1}{2}}(\sin \phi _{1}+\sin \phi _{2})$

$\theta =n(\lambda -\lambda _{0})$

$C=\cos ^{2}\phi _{1}+2n\sin \phi _{1}$

$\rho ={\frac {\sqrt {C-2n\sin \phi }}{n}}$

$\rho _{0}={\frac {\sqrt {C-2n\sin \phi _{0}}}{n}}$

See also

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• List of map projections

References

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External links

• Mathworld's page on the Albers projection
• Table of examples and properties of all common projections, from radicalcartography.net
• Yukon Albers Projection
• An interactive Java Applet to study the metric deformations of the Albers Projection.