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.. _eck1:
********************************************************************************
Eckert I
********************************************************************************
+---------------------+----------------------------------------------------------+
| **Classification** | Pseudocylindrical |
+---------------------+----------------------------------------------------------+
| **Available forms** | Forward and inverse, spherical projection |
+---------------------+----------------------------------------------------------+
| **Defined area** | Global |
+---------------------+----------------------------------------------------------+
| **Alias** | eck1 |
+---------------------+----------------------------------------------------------+
| **Domain** | 2D |
+---------------------+----------------------------------------------------------+
| **Input type** | Geodetic coordinates |
+---------------------+----------------------------------------------------------+
| **Output type** | Projected coordinates |
+---------------------+----------------------------------------------------------+
.. figure:: ./images/eck1.png
:width: 500 px
:align: center
:alt: Eckert I
proj-string: ``+proj=eck1``
.. math::
x &= 2 \sqrt{2/3\pi} \lambda (1- |\phi|/\pi)
y &= 2 \sqrt{2/3\pi}\phi
Parameters
################################################################################
.. note:: All parameters are optional for the Eckert I projection.
.. include:: ../options/lon_0.rst
.. include:: ../options/R.rst
.. include:: ../options/x_0.rst
.. include:: ../options/y_0.rst
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