aboutsummaryrefslogtreecommitdiff
path: root/docs/source/operations/projections/hatano.rst
diff options
context:
space:
mode:
authorKristian Evers <kristianevers@gmail.com>2018-02-28 22:37:13 +0100
committerKristian Evers <kristianevers@gmail.com>2018-02-28 22:37:13 +0100
commitbe3791ffd5e802d5a3d38fa08f5ed24715b73c7c (patch)
tree25eff60d91fed8ffce3302e37818f5bc452b16ca /docs/source/operations/projections/hatano.rst
parentdb2bfdce6df26801584be562f0ac74648ef8cefd (diff)
downloadPROJ-be3791ffd5e802d5a3d38fa08f5ed24715b73c7c.tar.gz
PROJ-be3791ffd5e802d5a3d38fa08f5ed24715b73c7c.zip
Move 'Coordinate operations' to top level of docs [skip ci]
Diffstat (limited to 'docs/source/operations/projections/hatano.rst')
-rw-r--r--docs/source/operations/projections/hatano.rst70
1 files changed, 70 insertions, 0 deletions
diff --git a/docs/source/operations/projections/hatano.rst b/docs/source/operations/projections/hatano.rst
new file mode 100644
index 00000000..5d0c63b7
--- /dev/null
+++ b/docs/source/operations/projections/hatano.rst
@@ -0,0 +1,70 @@
+.. _hatano:
+
+********************************************************************************
+Hatano Asymmetrical Equal Area
+********************************************************************************
+
+
+
+
++---------------------+----------------------------------------------------------+
+| **Classification** | :term:`Pseudocylindrical Projection` |
++---------------------+----------------------------------------------------------+
+| **Available forms** | Forward and inverse, spherical projection |
++---------------------+----------------------------------------------------------+
+| **Defined area** | Global, but best between standard parallels |
++---------------------+----------------------------------------------------------+
+| **Implemented by** | Gerald I. Evenden |
++---------------------+----------------------------------------------------------+
+| **Options** |
++---------------------+----------------------------------------------------------+
+| `+lat_1` | Standard Parallel 1 |
++---------------------+----------------------------------------------------------+
+| `+lat_2` | Standard Parallel 2 |
++---------------------+----------------------------------------------------------+
+| `+sym` | Symmetric form used instead of asymmetric |
++---------------------+----------------------------------------------------------+
+
+
+.. image:: ./images/hatano.png
+ :scale: 50%
+ :alt: Hatano Asymmetrical Equal Area
+
+
+
+Mathematical Definition
+--------------------------------------------------------------------------------
+
+Forward
+................................................................................
+
+.. math::
+
+ 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 :math:`C_p` :math:`C_p`
+==================================== ================== ===================
+if ``+sym`` or :math:`\phi > 0` 1.75859 2.67595
+if not ``+sym`` and :math:`\phi < 0` 1.93052 2.43763
+==================================== ================== ===================
+
+For :math:`\phi = 0`, :math:`y \leftarrow 0`, and :math:`x \leftarrow 0.85\lambda`.
+
+Further reading
+--------------------------------------------------------------------------------
+
+#. `Compare Map Projections <http://map-projections.net/single-view/hatano>`__
+#. `Mathworks <http://www.mathworks.com/help/map/hatano.html>`__
+
+
+