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class="reference internal" href="imw_p.html">International Map of the World Polyconic</a></li> +<li class="toctree-l3"><a class="reference internal" href="isea.html">Icosahedral Snyder Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="kav5.html">Kavrayskiy V</a></li> +<li class="toctree-l3"><a class="reference internal" href="kav7.html">Kavrayskiy VII</a></li> +<li class="toctree-l3"><a class="reference internal" href="krovak.html">Krovak</a></li> +<li class="toctree-l3"><a class="reference internal" href="labrd.html">Laborde</a></li> +<li class="toctree-l3"><a class="reference internal" href="laea.html">Lambert Azimuthal Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="lagrng.html">Lagrange</a></li> +<li class="toctree-l3"><a class="reference internal" href="larr.html">Larrivee</a></li> +<li class="toctree-l3"><a class="reference internal" href="lask.html">Laskowski</a></li> +<li class="toctree-l3"><a class="reference internal" href="lcc.html">Lambert Conformal Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="lcca.html">Lambert Conformal Conic Alternative</a></li> +<li class="toctree-l3"><a class="reference internal" href="leac.html">Lambert Equal Area Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="lee_os.html">Lee Oblated Stereographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="loxim.html">Loximuthal</a></li> +<li class="toctree-l3"><a class="reference internal" href="lsat.html">Space oblique for LANDSAT</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbt_s.html">McBryde-Thomas Flat-Polar Sine (No. 1)</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbt_fps.html">McBryde-Thomas Flat-Pole Sine (No. 2)</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbtfpp.html">McBride-Thomas Flat-Polar Parabolic</a></li> +<li class="toctree-l3"><a class="reference internal" 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class="reference internal" href="omerc.html">Oblique Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="ortel.html">Ortelius Oval</a></li> +<li class="toctree-l3"><a class="reference internal" href="ortho.html">Orthographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="patterson.html">Patterson</a></li> +<li class="toctree-l3"><a class="reference internal" href="pconic.html">Perspective Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="peirce_q.html">Peirce Quincuncial</a></li> +<li class="toctree-l3"><a class="reference internal" href="poly.html">Polyconic (American)</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp1.html">Putnins P1</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp2.html">Putnins P2</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp3.html">Putnins P3</a></li> +<li class="toctree-l3"><a class="reference internal" 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<a href="hammer.html" class="btn btn-neutral float-left" title="Hammer & Eckert-Greifendorff" accesskey="p"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="healpix.html" class="btn btn-neutral float-right" title="HEALPix" accesskey="n">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a> + </div> + <hr/> +</div> + <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article"> + <div itemprop="articleBody"> + + <section id="hatano-asymmetrical-equal-area"> +<span id="hatano"></span><h1>Hatano Asymmetrical Equal Area<a class="headerlink" href="#hatano-asymmetrical-equal-area" title="Permalink to this headline">¶</a></h1> +<table class="docutils align-default"> +<colgroup> +<col style="width: 27%" /> +<col style="width: 73%" /> +</colgroup> +<tbody> +<tr class="row-odd"><td><p><strong>Classification</strong></p></td> +<td><p><a class="reference internal" href="../../glossary.html#term-Pseudocylindrical-Projection"><span class="xref std std-term">Pseudocylindrical Projection</span></a></p></td> +</tr> +<tr class="row-even"><td><p><strong>Available forms</strong></p></td> +<td><p>Forward and inverse, spherical projection</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Defined area</strong></p></td> +<td><p>Global</p></td> +</tr> +<tr class="row-even"><td><p><strong>Alias</strong></p></td> +<td><p>hatano</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Domain</strong></p></td> +<td><p>2D</p></td> +</tr> +<tr class="row-even"><td><p><strong>Input type</strong></p></td> +<td><p>Geodetic coordinates</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Output type</strong></p></td> +<td><p>Projected coordinates</p></td> +</tr> +</tbody> +</table> +<figure class="align-center" id="id1"> +<a class="reference internal image-reference" href="../../_images/hatano.png"><img alt="Hatano Asymmetrical Equal Area" src="../../_images/hatano.png" style="width: 500px;" /></a> +<figcaption> +<p><span class="caption-text">proj-string: <code class="docutils literal notranslate"><span class="pre">+proj=hatano</span></code></span><a class="headerlink" href="#id1" title="Permalink to this image">¶</a></p> +</figcaption> +</figure> +<section id="parameters"> +<h2>Parameters<a class="headerlink" href="#parameters" title="Permalink to this headline">¶</a></h2> +<div class="admonition note"> +<p class="admonition-title">Note</p> +<p>All parameters for the projection are optional.</p> +</div> +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-lon_0"> +<span id="cmdoption-arg-lon-0"></span><span class="sig-name descname"><span class="pre">+lon_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-lon_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Longitude of projection center.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-R"> +<span id="cmdoption-arg-r"></span><span class="sig-name descname"><span class="pre">+R</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-R" title="Permalink to this definition">¶</a></dt> +<dd><p>Radius of the sphere, given in meters. If used in conjunction with +<code class="docutils literal notranslate"><span class="pre">+ellps</span></code>, <a class="reference internal" href="../../usage/ellipsoids.html#cmdoption-arg-R"><code class="xref std std-option docutils literal notranslate"><span class="pre">+R</span></code></a> takes precedence.</p> +<p>See <a class="reference internal" href="../../usage/ellipsoids.html#ellipsoid-size-parameters"><span class="std std-ref">Ellipsoid size parameters</span></a> for more information.</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-x_0"> +<span id="cmdoption-arg-x-0"></span><span class="sig-name descname"><span class="pre">+x_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-x_0" title="Permalink to this definition">¶</a></dt> +<dd><p>False easting.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-y_0"> +<span id="cmdoption-arg-y-0"></span><span class="sig-name descname"><span class="pre">+y_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-y_0" title="Permalink to this definition">¶</a></dt> +<dd><p>False northing.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<section id="mathematical-definition"> +<h3>Mathematical Definition<a class="headerlink" href="#mathematical-definition" title="Permalink to this headline">¶</a></h3> +<section id="forward"> +<h4>Forward<a class="headerlink" href="#forward" title="Permalink to this headline">¶</a></h4> +<div class="math notranslate nohighlight"> +\[ \begin{align}\begin{aligned}x &= 0.85\lambda \cos \theta\\y &= C_y \sin \theta\\P(\theta) &= 2\theta + \sin 2\theta - C_p \sin \phi\\P'(\theta) &= 2(1 + \cos 2\theta)\\\theta_0 &= 2\phi\end{aligned}\end{align} \]</div> +<table class="docutils align-default"> +<colgroup> +<col style="width: 49%" /> +<col style="width: 25%" /> +<col style="width: 26%" /> +</colgroup> +<thead> +<tr class="row-odd"><th class="head"><p>Condition</p></th> +<th class="head"><p><span class="math notranslate nohighlight">\(C_y\)</span></p></th> +<th class="head"><p><span class="math notranslate nohighlight">\(C_p\)</span></p></th> +</tr> +</thead> +<tbody> +<tr class="row-even"><td><p>For <span class="math notranslate nohighlight">\(\phi > 0\)</span></p></td> +<td><p>1.75859</p></td> +<td><p>2.67595</p></td> +</tr> +<tr class="row-odd"><td><p>For <span class="math notranslate nohighlight">\(\phi < 0\)</span></p></td> +<td><p>1.93052</p></td> +<td><p>2.43763</p></td> +</tr> +</tbody> +</table> +<p>For <span class="math notranslate nohighlight">\(\phi = 0\)</span>, <span class="math notranslate nohighlight">\(y \leftarrow 0\)</span>, and <span class="math notranslate nohighlight">\(x \leftarrow 0.85\lambda\)</span>.</p> +</section> +</section> +<section id="further-reading"> +<h3>Further reading<a class="headerlink" href="#further-reading" title="Permalink to this headline">¶</a></h3> +<ol class="arabic simple"> +<li><p><a class="reference external" href="http://map-projections.net/single-view/hatano">Compare Map Projections</a></p></li> +<li><p><a class="reference external" href="http://www.mathworks.com/help/map/hatano.html">Mathworks</a></p></li> +</ol> +</section> +</section> +</section> + + + </div> + </div> + <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer"> + <a href="hammer.html" class="btn btn-neutral float-left" title="Hammer & Eckert-Greifendorff" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="healpix.html" class="btn btn-neutral float-right" title="HEALPix" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a> + </div> + + <hr/> + + <div role="contentinfo"> + <p>© Copyright 1983-2022. + <span class="lastupdated">Last updated on 22 Mar 2022. + </span></p> + </div> + + Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> using a + <a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a> + provided by <a href="https://readthedocs.org">Read the Docs</a>. + + +</footer> + </div> + </div> + </section> + </div> + <script> + jQuery(function () { + SphinxRtdTheme.Navigation.enable(true); + }); + </script> + +</body> +</html>
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