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Hammer-Aitoff Equal-Area Projection

The Hammer-Aitoff equal-area projection, also called the Hammer projection, is a map projection that is a modification of the Lambert azimuthal equal-area projection. It consists of halving the vertical coordinates of the equatorial aspect of one hemisphere and doubling the values of the meridians from the center (Snyder 1987, p. 182). Like the Lambert azimuthal equal-area projection, it is equal area, but it is no longer azimuthal.

Its inverse is defined using the intermediate variable

z=sqrt(1-(1/4x)^2-(1/2y)^2).
(1)

Then the longitude and latitude are given by

lambda=2tan^(-1)[(zx)/(2(2z^2-1))]
(2)
phi=sin^(-1)(yz).
(3)

See also

Equal-Area Projection, Lambert Azimuthal Equal-Area Projection

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References

Snyder, J. P. Map Projections--A Working Manual. U. S. Geological Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office, 1987.

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Hammer-Aitoff Equal-Area Projection

Cite this as:

Weisstein, Eric W. "Hammer-Aitoff Equal-Area Projection." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Hammer-AitoffEqual-AreaProjection.html

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