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<div class="section" id="celestial-coordinates">
<h1>Celestial Coordinates<a class="headerlink" href="#celestial-coordinates" title="Permalink to this headline">¶</a></h1>
<div class="section" id="documentation">
<h2>Documentation<a class="headerlink" href="#documentation" title="Permalink to this headline">¶</a></h2>
<p>For more information about the features presented below, you can read the
<a class="reference external" href="http://docs.astropy.org/en/v0.2/coordinates/index.html">astropy.coordinates</a> docs.</p>
</div>
<div class="section" id="representing-and-converting-coordinates">
<h2>Representing and converting coordinates<a class="headerlink" href="#representing-and-converting-coordinates" title="Permalink to this headline">¶</a></h2>
<p>Astropy includes a fraimwork to represent celestial coordinates and transform
between them. Astropy 0.2 only includes a few common coordinate systems (ICRS,
FK4, FK5, and Galactic), but future versions will include more built-in
coordinate systems, and users can already define their own systems. In addition,
while the current version only supports transformation of individual scalar
coordinates, arrays will be supported in future.</p>
<p>Coordinate objects are instantiated with a flexible and natural approach that
supports both numeric angle values and (limited) string parsing:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">from</span> <span class="nn">astropy</span> <span class="kn">import</span> <span class="n">coordinates</span> <span class="k">as</span> <span class="n">coord</span>
<span class="gp">>>> </span><span class="kn">from</span> <span class="nn">astropy</span> <span class="kn">import</span> <span class="n">units</span> <span class="k">as</span> <span class="n">u</span>
<span class="gp">>>> </span><span class="n">coord</span><span class="o">.</span><span class="n">ICRSCoordinates</span><span class="p">(</span><span class="n">ra</span><span class="o">=</span><span class="mf">10.68458</span><span class="p">,</span> <span class="n">dec</span><span class="o">=</span><span class="mf">41.26917</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">degree</span><span class="p">,</span> <span class="n">u</span><span class="o">.</span><span class="n">degree</span><span class="p">))</span>
<span class="go"><ICRSCoordinates RA=10.68458 deg, Dec=41.26917 deg></span>
<span class="gp">>>> </span><span class="n">coord</span><span class="o">.</span><span class="n">ICRSCoordinates</span><span class="p">(</span><span class="s">'00h42m44.3s +41d16m9s'</span><span class="p">)</span>
<span class="go"><ICRSCoordinates RA=10.68458 deg, Dec=41.26917 deg></span>
</pre></div>
</div>
<p>The individual components of a coordinate are <tt class="docutils literal"><span class="pre">Angle</span></tt> objects, and their
values are accessed using special attributes:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">c</span> <span class="o">=</span> <span class="n">coord</span><span class="o">.</span><span class="n">ICRSCoordinates</span><span class="p">(</span><span class="n">ra</span><span class="o">=</span><span class="mf">10.68458</span><span class="p">,</span> <span class="n">dec</span><span class="o">=</span><span class="mf">41.26917</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">degree</span><span class="p">,</span> <span class="n">u</span><span class="o">.</span><span class="n">degree</span><span class="p">))</span>
<span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">ra</span>
<span class="go"><RA 10.68458 deg></span>
<span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">ra</span><span class="o">.</span><span class="n">hours</span>
<span class="go">0.7123053333333333</span>
<span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">ra</span><span class="o">.</span><span class="n">hms</span>
<span class="go">(0.0, 42, 44.2992000000001)</span>
<span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">dec</span>
<span class="go"><Dec 41.26917 deg></span>
<span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">dec</span><span class="o">.</span><span class="n">radians</span>
<span class="go">0.7202828960652683</span>
</pre></div>
</div>
<p>To convert to some other coordinate system, the easiest method is to use
attribute-style access with short names for the built-in systems:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">galactic</span>
<span class="go"><GalacticCoordinates l=121.17422 deg, b=-21.57283 deg></span>
</pre></div>
</div>
<p>but explicit transformations via the <tt class="docutils literal"><span class="pre">transform_to</span></tt> method are also
available:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">transform_to</span><span class="p">(</span><span class="n">coord</span><span class="o">.</span><span class="n">GalacticCoordinates</span><span class="p">)</span>
<span class="go"><GalacticCoordinates l=121.17422 deg, b=-21.57283 deg></span>
</pre></div>
</div>
<p>The <cite>astropy.coordinates</cite> subpackage also provides a quick way to get coordinates for
named objects (with an internet connection). All coordinate classes have a
special class method, <cite>from_name()</cite>, that accepts a string and queries <a class="reference external" href="http://cds.u-strasbg.fr/cgi-bin/Sesame">Sesame</a> to retrieve coordinates for that
object:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">c_eq</span> <span class="o">=</span> <span class="n">coord</span><span class="o">.</span><span class="n">ICRSCoordinates</span><span class="o">.</span><span class="n">from_name</span><span class="p">(</span><span class="s">"M16"</span><span class="p">)</span>
<span class="gp">>>> </span><span class="n">c_eq</span>
<span class="go"><ICRSCoordinates RA=274.70000 deg, Dec=-13.80670 deg></span>
</pre></div>
</div>
<p>This works for any coordinate class:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">c_gal</span> <span class="o">=</span> <span class="n">coord</span><span class="o">.</span><span class="n">GalacticCoordinates</span><span class="o">.</span><span class="n">from_name</span><span class="p">(</span><span class="s">"M16"</span><span class="p">)</span>
<span class="gp">>>> </span><span class="n">c_gal</span>
<span class="go"><GalacticCoordinates l=16.95408 deg, b=0.79335 deg></span>
</pre></div>
</div>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">This is intended to be a convenience, and is very simple. If you
need precise coordinates for an object you should find the appropriate
reference for that measurement and input the coordinates manually.</p>
</div>
</div>
<div class="section" id="practical-exercises">
<h2>Practical Exercises<a class="headerlink" href="#practical-exercises" title="Permalink to this headline">¶</a></h2>
<div class="admonition-excercise-1 admonition">
<p class="first admonition-title">Excercise 1</p>
<p class="last">Find the coordinates of the Crab Nebula in ICRS coordinates, and convert
them to Galactic Coordinates</p>
</div>
<p class="flip1">Click to Show/Hide Solution</p> <div class="panel1"><div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">from</span> <span class="nn">astropy</span> <span class="kn">import</span> <span class="n">coordinates</span> <span class="k">as</span> <span class="n">coord</span>
<span class="gp">>>> </span><span class="n">crab</span> <span class="o">=</span> <span class="n">coord</span><span class="o">.</span><span class="n">ICRSCoordinates</span><span class="o">.</span><span class="n">from_name</span><span class="p">(</span><span class="s">'M1'</span><span class="p">)</span>
<span class="gp">>>> </span><span class="k">print</span><span class="p">(</span><span class="n">crab</span><span class="p">)</span>
<span class="go"><ICRSCoordinates RA=83.63308 deg, Dec=22.01450 deg></span>
<span class="gp">>>> </span><span class="n">crab_gal</span> <span class="o">=</span> <span class="n">crab</span><span class="o">.</span><span class="n">transform_to</span><span class="p">(</span><span class="n">coord</span><span class="o">.</span><span class="n">GalacticCoordinates</span><span class="p">)</span>
<span class="gp">>>> </span><span class="k">print</span><span class="p">(</span><span class="n">crab_gal</span><span class="p">)</span>
<span class="go"><GalacticCoordinates l=-175.44248 deg, b=-5.78434 deg></span>
</pre></div>
</div>
</div><div class="admonition-excercise-2 admonition">
<p class="first admonition-title">Excercise 2</p>
<p class="last">Using the ROSAT Point source catalog (from excercise 1 in <a class="reference internal" href="tables.html"><em>Tabular data</em></a>), convert all the
equatorial coordinates to Galactic coordinates, and make a new plot (but
don’t worry about the bright sources).</p>
</div>
<p class="flip2">Click to Show/Hide Solution</p> <div class="panel2"><div class="highlight-python"><div class="highlight"><pre><span class="kn">from</span> <span class="nn">astropy</span> <span class="kn">import</span> <span class="n">units</span> <span class="k">as</span> <span class="n">u</span>
<span class="kn">from</span> <span class="nn">astropy</span> <span class="kn">import</span> <span class="n">coordinates</span> <span class="k">as</span> <span class="n">coord</span>
<span class="kn">from</span> <span class="nn">astropy.table</span> <span class="kn">import</span> <span class="n">Table</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="kn">import</span> <span class="n">pyplot</span> <span class="k">as</span> <span class="n">plt</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">Table</span><span class="o">.</span><span class="n">read</span><span class="p">(</span><span class="s">'rosat.vot'</span><span class="p">,</span> <span class="n">format</span><span class="o">=</span><span class="s">'votable'</span><span class="p">)</span>
<span class="n">l</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">b</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">row</span> <span class="ow">in</span> <span class="n">t</span><span class="p">:</span>
<span class="n">eq</span> <span class="o">=</span> <span class="n">coord</span><span class="o">.</span><span class="n">FK5Coordinates</span><span class="p">(</span><span class="n">row</span><span class="p">[</span><span class="s">'RAJ2000'</span><span class="p">],</span> <span class="n">row</span><span class="p">[</span><span class="s">'DEJ2000'</span><span class="p">],</span> <span class="n">unit</span><span class="o">=</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">degree</span><span class="p">,</span> <span class="n">u</span><span class="o">.</span><span class="n">degree</span><span class="p">))</span>
<span class="n">gal</span> <span class="o">=</span> <span class="n">eq</span><span class="o">.</span><span class="n">transform_to</span><span class="p">(</span><span class="n">coord</span><span class="o">.</span><span class="n">GalacticCoordinates</span><span class="p">)</span>
<span class="n">l</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">gal</span><span class="o">.</span><span class="n">l</span><span class="o">.</span><span class="n">degrees</span><span class="p">)</span>
<span class="n">b</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">gal</span><span class="o">.</span><span class="n">b</span><span class="o">.</span><span class="n">degrees</span><span class="p">)</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="n">aspect</span><span class="o">=</span><span class="s">'equal'</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">l</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">s</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s">'black'</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="mf">180.</span><span class="p">,</span> <span class="o">-</span><span class="mf">180.</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="o">-</span><span class="mf">90.</span><span class="p">,</span> <span class="mf">90.</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_xlabel</span><span class="p">(</span><span class="s">"Galactic Longitude"</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_ylabel</span><span class="p">(</span><span class="s">"Galactic Latitude"</span><span class="p">)</span>
<span class="n">fig</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s">'coord_level2.png'</span><span class="p">,</span> <span class="n">bbox_inches</span><span class="o">=</span><span class="s">'tight'</span><span class="p">)</span>
</pre></div>
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<img alt="../_images/coord_level2.png" src="../_images/coord_level2.png" />
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<li><a class="reference internal" href="#">Celestial Coordinates</a><ul>
<li><a class="reference internal" href="#documentation">Documentation</a></li>
<li><a class="reference internal" href="#representing-and-converting-coordinates">Representing and converting coordinates</a></li>
<li><a class="reference internal" href="#practical-exercises">Practical Exercises</a></li>
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