Hatano Asymmetrical Equal Area

Classification Pseudocylindrical Projection
Available forms Forward and inverse, spherical projection
Defined area Global
Alias hatano
Domain 2D
Input type Geodetic coordinates
Output type Projected coordinates
Hatano Asymmetrical Equal Area

proj-string: +proj=hatano



All parameters for the projection are optional.


Longitude of projection center.

Defaults to 0.0.


Radius of the sphere given in meters. If used in conjunction with +ellps +R takes precedence.


False easting.

Defaults to 0.0.


False northing.

Defaults to 0.0.

Mathematical Definition


\[ \begin{align}\begin{aligned}x &= 0.85\lambda \cos \theta\\y &= C_y \sin \theta\\P(\theta) &= 2\theta + \sin 2\theta - C_p \sin \phi\\P'(\theta) &= 2(1 + \cos 2\theta)\\\theta_0 &= 2\phi\end{aligned}\end{align} \]
Condition \(C_y\) \(C_p\)
For \(\phi > 0\) 1.75859 2.67595
For \(\phi < 0\) 1.93052 2.43763

For \(\phi = 0\), \(y \leftarrow 0\), and \(x \leftarrow 0.85\lambda\).