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| author | Howard Butler <howard@hobu.co> | 2016-09-11 13:37:33 -0500 |
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| committer | Howard Butler <howard@hobu.co> | 2016-09-11 13:37:33 -0500 |
| commit | 67eac9ce4486ea9f925bcbd0fc43ea6854d40c39 (patch) | |
| tree | 75a6527766eb84244f16f24868b8f653f74c5185 /docs/source/projections/hatano.rst | |
| parent | 869e4106024519cacf513754b52980448de4b063 (diff) | |
| download | PROJ-67eac9ce4486ea9f925bcbd0fc43ea6854d40c39.tar.gz PROJ-67eac9ce4486ea9f925bcbd0fc43ea6854d40c39.zip | |
add global references, update hatano page
Diffstat (limited to 'docs/source/projections/hatano.rst')
| -rw-r--r-- | docs/source/projections/hatano.rst | 56 |
1 files changed, 48 insertions, 8 deletions
diff --git a/docs/source/projections/hatano.rst b/docs/source/projections/hatano.rst index 7fabbcab..6ba2d3a0 100644 --- a/docs/source/projections/hatano.rst +++ b/docs/source/projections/hatano.rst @@ -4,31 +4,71 @@ Hatano Asymmetrical Equal Area ******************************************************************************** + + + ++---------------------+----------------------------------------------------------+ +| **Classification** | :term:`Pseudocylindrical Projection` | ++---------------------+----------------------------------------------------------+ +| **Available forms** | Forward | ++---------------------+----------------------------------------------------------+ +| **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 -:term:`Pseudocylindrical Projection` -.. note:: - If the ``+syn`` option is selected, the symmetric form of this projection is - used. Otherwise the asymmetric form is used by default. +Mathematical Definition +-------------------------------------------------------------------------------- + +Forward +................................................................................ .. math:: \begin{array} - x &= 0.85\lambda cos \theta + x &= 0.85\lambda \cos \theta - y &= C_y sin \theta + y &= C_y \sin \theta - P(\theta) &= 2\theta + sin 2\theta - C_p sin \phi + P(\theta) &= 2\theta + \sin 2\theta - C_p \sin \phi - P'(\theta) &= 2(1 + cos 2\theta) + P'(\theta) &= 2(1 + \cos 2\theta) \theta_0 &= 2\phi \end{array} +==================================== ================== =================== +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>`__ + + + |