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Hatano Asymmetrical Equal Area

Classification :term:`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

Parameters

Note

All parameters for the projection are optional.

Mathematical Definition

Forward

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
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.

Further reading

  1. Compare Map Projections
  2. Mathworks