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Hammer retroazimuthal projection
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Hammer retroazimuthal projection : ウィキペディア英語版
Hammer retroazimuthal projection

The Hammer retroazimuthal projection is a modified azimuthal proposed by Ernst Hermann Heinrich Hammer in 1910. As a retroazimuthal projection, azimuths (directions) are correct from any point to the designated center point.〔 In whole-world presentation, the back and front hemispheres overlap, making the projection a non-injective function. Given a radius ''R'' for the projecting globe, the projection is defined as:
:x = R K \cos \phi_1 \sin (\lambda-\lambda_0)
:y = -R K (\phi_1 \cos \phi - \cos \phi_1 \sin \phi \cos (\lambda-\lambda_0) )
where
:K = z/\sin z
and
:\cos z = \sin \phi_1 \sin \phi + \cos \phi_1 \cos \phi \cos (\lambda - \lambda_0)
The latitude and longitude of the point to be plotted are ''φ'' and ''λ'' respectively, and the center point to which all azimuths are to be correct is given as ''φ''1 and ''λ''0.
==See also==

*List of map projections

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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