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Coordinates and units
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Chapter 7
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Upper left
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Upper right
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Lower left
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="o">%</span><span class="k">matplotlib</span> inline
<span class="kn">from</span> <span class="nn">matplotlib.patches</span> <span class="kn">import</span> <span class="n">Polygon</span>
<span class="kn">from</span> <span class="nn">astropy.table</span> <span class="kn">import</span> <span class="n">Table</span>
</pre></div>
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<div class="section" id="plotting-functions">
<h1>Plotting Functions<a class="headerlink" href="#plotting-functions" title="Permalink to this headline"></a></h1>
<div class="section" id="upper-left">
<h2>Upper left<a class="headerlink" href="#upper-left" title="Permalink to this headline"></a></h2>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">plot_first_selection</span><span class="p">(</span><span class="n">df</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Plot spatial distribution of stars selected based on Proper Motion</span>
<span class="sd"> </span>
<span class="sd"> df: Tale or DataFrame with proper motion selected coordinates in GD-1 reference frame</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s1">&#39;phi1&#39;</span><span class="p">]</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s1">&#39;phi2&#39;</span><span class="p">]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="s1">&#39;ko&#39;</span><span class="p">,</span> <span class="n">markersize</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;$\phi_1$ [deg]&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;$\phi_2$ [deg]&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Proper motion selection&#39;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="s1">&#39;medium&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;equal&#39;</span><span class="p">)</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">filename_pm_selected</span> <span class="o">=</span> <span class="s1">&#39;gd1_candidates.hdf5&#39;</span>
<span class="n">candidate_df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_hdf</span><span class="p">(</span><span class="n">filename_pm_selected</span><span class="p">,</span> <span class="s1">&#39;candidate_df&#39;</span><span class="p">)</span>
<span class="n">plot_first_selection</span><span class="p">(</span><span class="n">candidate_df</span><span class="p">)</span>
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<div class="section" id="upper-right">
<h2>Upper right<a class="headerlink" href="#upper-right" title="Permalink to this headline"></a></h2>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">plot_proper_motion</span><span class="p">(</span><span class="n">df</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Plot proper motion of spatially selected stars in GD-1</span>
<span class="sd"> </span>
<span class="sd"> df: Table or DataFrame with spatially selected proper motions in GD-1 reference frame</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">pm1</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s1">&#39;pm_phi1&#39;</span><span class="p">]</span>
<span class="n">pm2</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s1">&#39;pm_phi2&#39;</span><span class="p">]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">pm1</span><span class="p">,</span> <span class="n">pm2</span><span class="p">,</span> <span class="s1">&#39;ko&#39;</span><span class="p">,</span> <span class="n">markersize</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.3</span><span class="p">)</span>
<span class="n">poly</span> <span class="o">=</span> <span class="n">Polygon</span><span class="p">(</span><span class="n">vertices</span><span class="p">,</span> <span class="n">closed</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span>
<span class="n">facecolor</span><span class="o">=</span><span class="s1">&#39;C1&#39;</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.4</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span><span class="o">.</span><span class="n">add_patch</span><span class="p">(</span><span class="n">poly</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;$\mu_{\phi_1} [\mathrm{mas~yr}^{-1}]$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;$\mu_{\phi_2} [\mathrm{mas~yr}^{-1}]$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">(</span><span class="o">-</span><span class="mi">12</span><span class="p">,</span> <span class="mi">8</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylim</span><span class="p">(</span><span class="o">-</span><span class="mi">10</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">pm1_min</span> <span class="o">=</span> <span class="o">-</span><span class="mf">8.9</span>
<span class="n">pm1_max</span> <span class="o">=</span> <span class="o">-</span><span class="mf">6.9</span>
<span class="n">pm2_min</span> <span class="o">=</span> <span class="o">-</span><span class="mf">2.2</span>
<span class="n">pm2_max</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">pm1_rect</span> <span class="o">=</span> <span class="p">[</span><span class="n">pm1_min</span><span class="p">,</span> <span class="n">pm1_min</span><span class="p">,</span> <span class="n">pm1_max</span><span class="p">,</span> <span class="n">pm1_max</span><span class="p">]</span>
<span class="n">pm2_rect</span> <span class="o">=</span> <span class="p">[</span><span class="n">pm2_min</span><span class="p">,</span> <span class="n">pm2_max</span><span class="p">,</span> <span class="n">pm2_max</span><span class="p">,</span> <span class="n">pm2_min</span><span class="p">]</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">vertices</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">transpose</span><span class="p">([</span><span class="n">pm1_rect</span><span class="p">,</span> <span class="n">pm2_rect</span><span class="p">])</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">filename_pm</span> <span class="o">=</span> <span class="s1">&#39;gd1_dataframe.hdf5&#39;</span>
<span class="n">centerline</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_hdf</span><span class="p">(</span><span class="n">filename_pm</span><span class="p">,</span> <span class="s1">&#39;centerline&#39;</span><span class="p">)</span>
<span class="n">plot_proper_motion</span><span class="p">(</span><span class="n">centerline</span><span class="p">)</span>
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<div class="section" id="lower-left">
<h2>Lower left<a class="headerlink" href="#lower-left" title="Permalink to this headline"></a></h2>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">plot_second_selection</span><span class="p">(</span><span class="n">df</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Plot spatial distribution of photometry selected points</span>
<span class="sd"> </span>
<span class="sd"> df: Table or DataFrame with photometry selected positions in GD1 reference frame</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s1">&#39;phi1&#39;</span><span class="p">]</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s1">&#39;phi2&#39;</span><span class="p">]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="s1">&#39;ko&#39;</span><span class="p">,</span> <span class="n">markersize</span><span class="o">=</span><span class="mf">0.7</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.9</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;$\phi_1$ [deg]&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;$\phi_2$ [deg]&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Proper motion + photometry selection&#39;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="s1">&#39;medium&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;equal&#39;</span><span class="p">)</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">filename</span> <span class="o">=</span> <span class="s1">&#39;gd1_merged.hdf5&#39;</span>
<span class="n">selected</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_hdf</span><span class="p">(</span><span class="n">filename</span><span class="p">,</span> <span class="s1">&#39;selected&#39;</span><span class="p">)</span>
<span class="n">plot_second_selection</span><span class="p">(</span><span class="n">selected</span><span class="p">)</span>
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<h2>Lower right<a class="headerlink" href="#lower-right" title="Permalink to this headline"></a></h2>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">plot_cmd</span><span class="p">(</span><span class="n">table</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Plot a color magnitude diagram.</span>
<span class="sd"> </span>
<span class="sd"> table: Table or DataFrame with photometry data</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">table</span><span class="p">[</span><span class="s1">&#39;g_mean_psf_mag&#39;</span><span class="p">]</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">table</span><span class="p">[</span><span class="s1">&#39;g_mean_psf_mag&#39;</span><span class="p">]</span> <span class="o">-</span> <span class="n">table</span><span class="p">[</span><span class="s1">&#39;i_mean_psf_mag&#39;</span><span class="p">]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="s1">&#39;ko&#39;</span><span class="p">,</span> <span class="n">markersize</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylim</span><span class="p">([</span><span class="mi">14</span><span class="p">,</span> <span class="mi">22</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span><span class="o">.</span><span class="n">invert_yaxis</span><span class="p">()</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;$g_0$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;$(g-i)_0$&#39;</span><span class="p">)</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">filename_poly</span> <span class="o">=</span> <span class="s1">&#39;gd1_polygon.hdf5&#39;</span>
<span class="n">coords_df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_hdf</span><span class="p">(</span><span class="n">filename_poly</span><span class="p">,</span> <span class="s1">&#39;coords_df&#39;</span><span class="p">)</span>
<span class="n">coords</span> <span class="o">=</span> <span class="n">coords_df</span><span class="o">.</span><span class="n">to_numpy</span><span class="p">()</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">merged</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_hdf</span><span class="p">(</span><span class="n">filename</span><span class="p">,</span> <span class="s1">&#39;merged&#39;</span><span class="p">)</span>
<span class="n">plot_cmd</span><span class="p">(</span><span class="n">merged</span><span class="p">)</span>
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