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| author | Kristian Evers <kristianevers@gmail.com> | 2018-02-28 22:37:13 +0100 |
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| committer | Kristian Evers <kristianevers@gmail.com> | 2018-02-28 22:37:13 +0100 |
| commit | be3791ffd5e802d5a3d38fa08f5ed24715b73c7c (patch) | |
| tree | 25eff60d91fed8ffce3302e37818f5bc452b16ca /docs/source/operations/projections/hatano.rst | |
| parent | db2bfdce6df26801584be562f0ac74648ef8cefd (diff) | |
| download | PROJ-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.rst | 70 |
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>`__ + + + |
