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</head>
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<body dir="ltr" data-md-color-scheme="default" data-md-color-primary="custom" data-md-color-accent="custom">
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<script>var palette=__md_get("__palette");if(palette&&"object"==typeof palette.color)for(var key of Object.keys(palette.color))document.body.setAttribute("data-md-color-"+key,palette.color[key])</script>
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OpenXNAV
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Mission Planning
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Initializing search
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Overview
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Components
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Creating vectors from pulsar to space objects to look for access
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Example 1 - Circular Orbit
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Using the pulsar_access_export method
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Substituting STK for OpenXNAV Mission Planning
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<h1 id="mission-planning"><strong>Mission Planning</strong></h1>
|
||
<p>In this Python notebook, the <code>mission_planning</code> module from the OpenXNAV library is demonstrated.</p>
|
||
<p>We start by importing the necessary libraries:</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-0-1"><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><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><span id="__span-0-2"><a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a><span class="kn">from</span> <span class="nn">astropy.coordinates</span> <span class="kn">import</span> <span class="n">SkyCoord</span><span class="p">,</span><span class="n">get_body</span>
|
||
</span><span id="__span-0-3"><a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a><span class="kn">from</span> <span class="nn">astropy.time</span> <span class="kn">import</span> <span class="n">Time</span><span class="p">,</span><span class="n">TimeDelta</span>
|
||
</span><span id="__span-0-4"><a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a><span class="kn">from</span> <span class="nn">astropy.table</span> <span class="kn">import</span> <span class="n">Table</span><span class="p">,</span><span class="n">QTable</span>
|
||
</span><span id="__span-0-5"><a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a>
|
||
</span><span id="__span-0-6"><a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
|
||
</span><span id="__span-0-7"><a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a><span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
|
||
</span><span id="__span-0-8"><a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a><span class="kn">import</span> <span class="nn">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
|
||
</span></code></pre></div>
|
||
<p>Next we define the necessary variables that we will use to instantiate the orbit. We will define an elliptical orbit directly by its orbital elements in this example. Other options, which are currently commented out, are a circular orbit (special case of elliptical orbit where eccentricity = 0) and an elliptical orbit defined by its burnout trajectory.</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-1-1"><a id="__codelineno-1-1" name="__codelineno-1-1" href="#__codelineno-1-1"></a><span class="c1"># User definitions for elliptical orbital elements</span>
|
||
</span><span id="__span-1-2"><a id="__codelineno-1-2" name="__codelineno-1-2" href="#__codelineno-1-2"></a>
|
||
</span><span id="__span-1-3"><a id="__codelineno-1-3" name="__codelineno-1-3" href="#__codelineno-1-3"></a><span class="n">e</span> <span class="o">=</span> <span class="mf">0.3</span> <span class="c1"># eccentricity of the orbit</span>
|
||
</span><span id="__span-1-4"><a id="__codelineno-1-4" name="__codelineno-1-4" href="#__codelineno-1-4"></a><span class="n">a</span> <span class="o">=</span> <span class="mi">750000</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span> <span class="c1"># semi-major axis </span>
|
||
</span><span id="__span-1-5"><a id="__codelineno-1-5" name="__codelineno-1-5" href="#__codelineno-1-5"></a><span class="n">inc</span> <span class="o">=</span> <span class="mi">20</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># inclination of orbit</span>
|
||
</span><span id="__span-1-6"><a id="__codelineno-1-6" name="__codelineno-1-6" href="#__codelineno-1-6"></a><span class="n">w</span> <span class="o">=</span> <span class="mi">90</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># argument of periapsis</span>
|
||
</span><span id="__span-1-7"><a id="__codelineno-1-7" name="__codelineno-1-7" href="#__codelineno-1-7"></a><span class="n">v_0</span> <span class="o">=</span> <span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># initial eccentric anomaly</span>
|
||
</span><span id="__span-1-8"><a id="__codelineno-1-8" name="__codelineno-1-8" href="#__codelineno-1-8"></a><span class="n">Omega</span> <span class="o">=</span> <span class="mi">90</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># longitude of ascending node</span>
|
||
</span><span id="__span-1-9"><a id="__codelineno-1-9" name="__codelineno-1-9" href="#__codelineno-1-9"></a>
|
||
</span><span id="__span-1-10"><a id="__codelineno-1-10" name="__codelineno-1-10" href="#__codelineno-1-10"></a><span class="kn">import</span> <span class="nn">warnings</span>
|
||
</span><span id="__span-1-11"><a id="__codelineno-1-11" name="__codelineno-1-11" href="#__codelineno-1-11"></a><span class="n">warnings</span><span class="o">.</span><span class="n">filterwarnings</span><span class="p">(</span><span class="s1">'ignore'</span><span class="p">,</span><span class="n">message</span><span class="o">=</span><span class="s1">'leap-second file is expired'</span><span class="p">)</span>
|
||
</span><span id="__span-1-12"><a id="__codelineno-1-12" name="__codelineno-1-12" href="#__codelineno-1-12"></a><span class="n">t</span> <span class="o">=</span> <span class="n">Time</span><span class="o">.</span><span class="n">now</span><span class="p">()</span> <span class="o">+</span> <span class="n">TimeDelta</span><span class="p">(</span><span class="mi">120</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">day</span><span class="p">)</span> <span class="o">+</span> <span class="n">TimeDelta</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">800</span><span class="p">,</span><span class="mi">51</span><span class="p">)</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">s</span><span class="p">)</span>
|
||
</span><span id="__span-1-13"><a id="__codelineno-1-13" name="__codelineno-1-13" href="#__codelineno-1-13"></a>
|
||
</span><span id="__span-1-14"><a id="__codelineno-1-14" name="__codelineno-1-14" href="#__codelineno-1-14"></a><span class="c1"># Alternative: User definitions for elliptical orbital insertion </span>
|
||
</span><span id="__span-1-15"><a id="__codelineno-1-15" name="__codelineno-1-15" href="#__codelineno-1-15"></a><span class="c1"># (note that this is just an example and would not generate the </span>
|
||
</span><span id="__span-1-16"><a id="__codelineno-1-16" name="__codelineno-1-16" href="#__codelineno-1-16"></a><span class="c1"># same trajectory as the one above defined directly by orbital elements)</span>
|
||
</span><span id="__span-1-17"><a id="__codelineno-1-17" name="__codelineno-1-17" href="#__codelineno-1-17"></a>
|
||
</span><span id="__span-1-18"><a id="__codelineno-1-18" name="__codelineno-1-18" href="#__codelineno-1-18"></a><span class="c1">#e = 0.1 # eccentricity of the orbit, also user defined</span>
|
||
</span><span id="__span-1-19"><a id="__codelineno-1-19" name="__codelineno-1-19" href="#__codelineno-1-19"></a><span class="c1">#a = 750000*u.m # m semi-major axis </span>
|
||
</span><span id="__span-1-20"><a id="__codelineno-1-20" name="__codelineno-1-20" href="#__codelineno-1-20"></a><span class="c1">#B = 70*u.deg # azimuth heading measured in degrees clockwise from north</span>
|
||
</span><span id="__span-1-21"><a id="__codelineno-1-21" name="__codelineno-1-21" href="#__codelineno-1-21"></a><span class="c1">#dec = 20*u.deg # geocentric latitude in degrees (declination) of burnout</span>
|
||
</span><span id="__span-1-22"><a id="__codelineno-1-22" name="__codelineno-1-22" href="#__codelineno-1-22"></a><span class="c1">#v_0 = 0*u.deg # initial eccentric anomaly</span>
|
||
</span></code></pre></div>
|
||
<p>We can now do the same thing with a low-fidelity elliptical orbit, starting with the <code>EllipticalOrbit</code> class:</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-2-1"><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a><span class="kn">from</span> <span class="nn">mission_planning</span> <span class="kn">import</span> <span class="n">EllipticalOrbit</span>
|
||
</span><span id="__span-2-2"><a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a>
|
||
</span><span id="__span-2-3"><a id="__codelineno-2-3" name="__codelineno-2-3" href="#__codelineno-2-3"></a><span class="n">eo</span> <span class="o">=</span> <span class="n">EllipticalOrbit</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">e</span><span class="p">,</span><span class="n">v_0</span><span class="o">=</span><span class="n">v_0</span><span class="p">,</span>
|
||
</span><span id="__span-2-4"><a id="__codelineno-2-4" name="__codelineno-2-4" href="#__codelineno-2-4"></a> <span class="n">inc</span><span class="o">=</span><span class="n">inc</span><span class="p">,</span><span class="n">w</span><span class="o">=</span><span class="n">w</span><span class="p">,</span>
|
||
</span><span id="__span-2-5"><a id="__codelineno-2-5" name="__codelineno-2-5" href="#__codelineno-2-5"></a> <span class="n">Omega</span><span class="o">=</span><span class="n">Omega</span><span class="p">)</span>
|
||
</span><span id="__span-2-6"><a id="__codelineno-2-6" name="__codelineno-2-6" href="#__codelineno-2-6"></a>
|
||
</span><span id="__span-2-7"><a id="__codelineno-2-7" name="__codelineno-2-7" href="#__codelineno-2-7"></a><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
|
||
</span><span id="__span-2-8"><a id="__codelineno-2-8" name="__codelineno-2-8" href="#__codelineno-2-8"></a><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">eo</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="s1">'b.'</span><span class="p">)</span>
|
||
</span><span id="__span-2-9"><a id="__codelineno-2-9" name="__codelineno-2-9" href="#__codelineno-2-9"></a><span class="c1">#plt.xlim([-a/u.km,a/u.km])</span>
|
||
</span><span id="__span-2-10"><a id="__codelineno-2-10" name="__codelineno-2-10" href="#__codelineno-2-10"></a><span class="c1">#plt.ylim([-a/u.km,a/u.km])</span>
|
||
</span><span id="__span-2-11"><a id="__codelineno-2-11" name="__codelineno-2-11" href="#__codelineno-2-11"></a><span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_5_0.png" /></p>
|
||
<p>While the above plot is represented in two dimensions as the projection of the orbit onto the XY-plane, this orbit was actually instantiated in 3D. To show the trajectory in the 3D Cartesian reference frame with the center of Earth at the origin, we just have to plot it in the 3D figure:</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-3-1"><a id="__codelineno-3-1" name="__codelineno-3-1" href="#__codelineno-3-1"></a><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><span id="__span-3-2"><a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a>
|
||
</span><span id="__span-3-3"><a id="__codelineno-3-3" name="__codelineno-3-3" href="#__codelineno-3-3"></a><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="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-3-4"><a id="__codelineno-3-4" name="__codelineno-3-4" href="#__codelineno-3-4"></a><span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">eo</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">))</span>
|
||
</span><span id="__span-3-5"><a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a>
|
||
</span><span id="__span-3-6"><a id="__codelineno-3-6" name="__codelineno-3-6" href="#__codelineno-3-6"></a><span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_7_0.png" /></p>
|
||
<h2 id="creating-vectors-from-pulsar-to-space-objects-to-look-for-access">Creating vectors from pulsar to space objects to look for access</h2>
|
||
<p>In order to better demonstrate the pulsar access calculation functions in the OpenXNAV <code>mission_planning</code> module, we will create a SkyCoord object representing the moon, but with a distorted size and orbit to ensure some obfuscation of a chosen pulsar (whose coordinates are also exaggerated for demonstration purposes).</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-4-1"><a id="__codelineno-4-1" name="__codelineno-4-1" href="#__codelineno-4-1"></a><span class="kn">from</span> <span class="nn">mission_planning</span> <span class="kn">import</span> <span class="n">plot_accesses</span>
|
||
</span><span id="__span-4-2"><a id="__codelineno-4-2" name="__codelineno-4-2" href="#__codelineno-4-2"></a>
|
||
</span><span id="__span-4-3"><a id="__codelineno-4-3" name="__codelineno-4-3" href="#__codelineno-4-3"></a><span class="n">moon</span> <span class="o">=</span> <span class="n">SkyCoord</span><span class="p">(</span>
|
||
</span><span id="__span-4-4"><a id="__codelineno-4-4" name="__codelineno-4-4" href="#__codelineno-4-4"></a> <span class="n">x</span> <span class="o">=</span> <span class="o">-</span><span class="mi">284405</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span>
|
||
</span><span id="__span-4-5"><a id="__codelineno-4-5" name="__codelineno-4-5" href="#__codelineno-4-5"></a> <span class="n">y</span> <span class="o">=</span> <span class="mi">249415</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span>
|
||
</span><span id="__span-4-6"><a id="__codelineno-4-6" name="__codelineno-4-6" href="#__codelineno-4-6"></a> <span class="n">z</span> <span class="o">=</span> <span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span>
|
||
</span><span id="__span-4-7"><a id="__codelineno-4-7" name="__codelineno-4-7" href="#__codelineno-4-7"></a> <span class="n">frame</span><span class="o">=</span><span class="s1">'gcrs'</span><span class="p">,</span>
|
||
</span><span id="__span-4-8"><a id="__codelineno-4-8" name="__codelineno-4-8" href="#__codelineno-4-8"></a> <span class="n">representation_type</span> <span class="o">=</span> <span class="s1">'cartesian'</span>
|
||
</span><span id="__span-4-9"><a id="__codelineno-4-9" name="__codelineno-4-9" href="#__codelineno-4-9"></a><span class="p">)</span>
|
||
</span><span id="__span-4-10"><a id="__codelineno-4-10" name="__codelineno-4-10" href="#__codelineno-4-10"></a>
|
||
</span><span id="__span-4-11"><a id="__codelineno-4-11" name="__codelineno-4-11" href="#__codelineno-4-11"></a><span class="c1">#moon_rad = 1740*u.km # actual radius of the moon </span>
|
||
</span><span id="__span-4-12"><a id="__codelineno-4-12" name="__codelineno-4-12" href="#__codelineno-4-12"></a><span class="n">moon_rad</span> <span class="o">=</span> <span class="mi">150</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span> <span class="c1"># fake news </span>
|
||
</span><span id="__span-4-13"><a id="__codelineno-4-13" name="__codelineno-4-13" href="#__codelineno-4-13"></a>
|
||
</span><span id="__span-4-14"><a id="__codelineno-4-14" name="__codelineno-4-14" href="#__codelineno-4-14"></a>
|
||
</span><span id="__span-4-15"><a id="__codelineno-4-15" name="__codelineno-4-15" href="#__codelineno-4-15"></a><span class="c1"># assuming we have the location of the pulsars, using one as an example</span>
|
||
</span><span id="__span-4-16"><a id="__codelineno-4-16" name="__codelineno-4-16" href="#__codelineno-4-16"></a><span class="n">pulsar</span> <span class="o">=</span> <span class="n">SkyCoord</span><span class="p">(</span>
|
||
</span><span id="__span-4-17"><a id="__codelineno-4-17" name="__codelineno-4-17" href="#__codelineno-4-17"></a> <span class="n">x</span> <span class="o">=</span> <span class="o">-</span><span class="mi">853215</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span>
|
||
</span><span id="__span-4-18"><a id="__codelineno-4-18" name="__codelineno-4-18" href="#__codelineno-4-18"></a> <span class="n">y</span> <span class="o">=</span> <span class="mi">748245</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span>
|
||
</span><span id="__span-4-19"><a id="__codelineno-4-19" name="__codelineno-4-19" href="#__codelineno-4-19"></a> <span class="n">z</span> <span class="o">=</span> <span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">,</span>
|
||
</span><span id="__span-4-20"><a id="__codelineno-4-20" name="__codelineno-4-20" href="#__codelineno-4-20"></a> <span class="n">frame</span><span class="o">=</span><span class="s1">'gcrs'</span><span class="p">,</span>
|
||
</span><span id="__span-4-21"><a id="__codelineno-4-21" name="__codelineno-4-21" href="#__codelineno-4-21"></a> <span class="n">representation_type</span> <span class="o">=</span> <span class="s1">'cartesian'</span>
|
||
</span><span id="__span-4-22"><a id="__codelineno-4-22" name="__codelineno-4-22" href="#__codelineno-4-22"></a><span class="p">)</span>
|
||
</span><span id="__span-4-23"><a id="__codelineno-4-23" name="__codelineno-4-23" href="#__codelineno-4-23"></a>
|
||
</span><span id="__span-4-24"><a id="__codelineno-4-24" name="__codelineno-4-24" href="#__codelineno-4-24"></a><span class="n">access</span> <span class="o">=</span> <span class="n">eo</span><span class="o">.</span><span class="n">pulsar_access</span><span class="p">(</span><span class="n">pulsar</span><span class="p">,</span><span class="n">moon</span><span class="p">,</span><span class="n">moon_rad</span><span class="p">)</span>
|
||
</span><span id="__span-4-25"><a id="__codelineno-4-25" name="__codelineno-4-25" href="#__codelineno-4-25"></a>
|
||
</span><span id="__span-4-26"><a id="__codelineno-4-26" name="__codelineno-4-26" href="#__codelineno-4-26"></a><span class="c1"># create figure to plot pulsar access</span>
|
||
</span><span id="__span-4-27"><a id="__codelineno-4-27" name="__codelineno-4-27" href="#__codelineno-4-27"></a><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><span id="__span-4-28"><a id="__codelineno-4-28" name="__codelineno-4-28" href="#__codelineno-4-28"></a>
|
||
</span><span id="__span-4-29"><a id="__codelineno-4-29" name="__codelineno-4-29" href="#__codelineno-4-29"></a><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="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-4-30"><a id="__codelineno-4-30" name="__codelineno-4-30" href="#__codelineno-4-30"></a><span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">pulsar</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">pulsar</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">pulsar</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'pulsar'</span><span class="p">)</span>
|
||
</span><span id="__span-4-31"><a id="__codelineno-4-31" name="__codelineno-4-31" href="#__codelineno-4-31"></a><span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">eo</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'spacecraft'</span><span class="p">)</span>
|
||
</span><span id="__span-4-32"><a id="__codelineno-4-32" name="__codelineno-4-32" href="#__codelineno-4-32"></a><span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">moon</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">moon</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">moon</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'moon'</span><span class="p">,</span><span class="n">s</span><span class="o">=</span><span class="mi">500</span><span class="p">)</span>
|
||
</span><span id="__span-4-33"><a id="__codelineno-4-33" name="__codelineno-4-33" href="#__codelineno-4-33"></a><span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span>
|
||
</span><span id="__span-4-34"><a id="__codelineno-4-34" name="__codelineno-4-34" href="#__codelineno-4-34"></a>
|
||
</span><span id="__span-4-35"><a id="__codelineno-4-35" name="__codelineno-4-35" href="#__codelineno-4-35"></a><span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
|
||
</span><span id="__span-4-36"><a id="__codelineno-4-36" name="__codelineno-4-36" href="#__codelineno-4-36"></a>
|
||
</span><span id="__span-4-37"><a id="__codelineno-4-37" name="__codelineno-4-37" href="#__codelineno-4-37"></a><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><span id="__span-4-38"><a id="__codelineno-4-38" name="__codelineno-4-38" href="#__codelineno-4-38"></a><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><span id="__span-4-39"><a id="__codelineno-4-39" name="__codelineno-4-39" href="#__codelineno-4-39"></a><span class="n">ax</span> <span class="o">=</span> <span class="n">plot_accesses</span><span class="p">(</span><span class="n">ax</span><span class="p">,</span><span class="n">t</span><span class="p">,{</span><span class="s1">'pulsar'</span><span class="p">:</span><span class="n">access</span><span class="p">})</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_9_0.png" /></p>
|
||
<p><img alt="png" src="../output_9_1.png" /></p>
|
||
<p>We can also instantiate an <code>EllipticalOrbit</code> object with high fidelity. This version of the class calculates the eccentric anomaly at each time in the time array in order to calculate a more exact position.</p>
|
||
<p>There is currently a bug in this version that causes it to only output positive <code>x</code> and positive <code>z</code> values, so we'll need to fix that. (Negative values shown below are there because <code>x</code> and <code>z</code> are positive before coordinate rotation to account for longitude of ascending node, orbital inclination, and argument of periapsis)</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-5-1"><a id="__codelineno-5-1" name="__codelineno-5-1" href="#__codelineno-5-1"></a><span class="n">eo_h</span> <span class="o">=</span> <span class="n">EllipticalOrbit</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">e</span><span class="p">,</span><span class="n">v_0</span><span class="o">=</span><span class="n">v_0</span><span class="p">,</span>
|
||
</span><span id="__span-5-2"><a id="__codelineno-5-2" name="__codelineno-5-2" href="#__codelineno-5-2"></a> <span class="n">inc</span><span class="o">=</span><span class="n">inc</span><span class="p">,</span><span class="n">w</span><span class="o">=</span><span class="n">w</span><span class="p">,</span>
|
||
</span><span id="__span-5-3"><a id="__codelineno-5-3" name="__codelineno-5-3" href="#__codelineno-5-3"></a> <span class="n">Omega</span><span class="o">=</span><span class="n">Omega</span><span class="p">,</span>
|
||
</span><span id="__span-5-4"><a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a> <span class="n">hifi</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
|
||
</span><span id="__span-5-5"><a id="__codelineno-5-5" name="__codelineno-5-5" href="#__codelineno-5-5"></a>
|
||
</span><span id="__span-5-6"><a id="__codelineno-5-6" name="__codelineno-5-6" href="#__codelineno-5-6"></a><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
|
||
</span><span id="__span-5-7"><a id="__codelineno-5-7" name="__codelineno-5-7" href="#__codelineno-5-7"></a><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">eo_h</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">eo_h</span><span class="o">.</span><span class="n">y</span><span class="p">,</span><span class="s1">'b.'</span><span class="p">)</span>
|
||
</span><span id="__span-5-8"><a id="__codelineno-5-8" name="__codelineno-5-8" href="#__codelineno-5-8"></a><span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">([</span><span class="o">-</span><span class="n">a</span><span class="o">/</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span><span class="n">a</span><span class="o">/</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">])</span>
|
||
</span><span id="__span-5-9"><a id="__codelineno-5-9" name="__codelineno-5-9" href="#__codelineno-5-9"></a><span class="n">plt</span><span class="o">.</span><span class="n">ylim</span><span class="p">([</span><span class="o">-</span><span class="n">a</span><span class="o">/</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span><span class="n">a</span><span class="o">/</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">])</span>
|
||
</span><span id="__span-5-10"><a id="__codelineno-5-10" name="__codelineno-5-10" href="#__codelineno-5-10"></a><span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
|
||
</span><span id="__span-5-11"><a id="__codelineno-5-11" name="__codelineno-5-11" href="#__codelineno-5-11"></a>
|
||
</span><span id="__span-5-12"><a id="__codelineno-5-12" name="__codelineno-5-12" href="#__codelineno-5-12"></a><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><span id="__span-5-13"><a id="__codelineno-5-13" name="__codelineno-5-13" href="#__codelineno-5-13"></a>
|
||
</span><span id="__span-5-14"><a id="__codelineno-5-14" name="__codelineno-5-14" href="#__codelineno-5-14"></a><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="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-5-15"><a id="__codelineno-5-15" name="__codelineno-5-15" href="#__codelineno-5-15"></a><span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">eo_h</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">eo_h</span><span class="o">.</span><span class="n">y</span><span class="p">,</span><span class="n">eo_h</span><span class="o">.</span><span class="n">z</span><span class="p">)</span>
|
||
</span><span id="__span-5-16"><a id="__codelineno-5-16" name="__codelineno-5-16" href="#__codelineno-5-16"></a>
|
||
</span><span id="__span-5-17"><a id="__codelineno-5-17" name="__codelineno-5-17" href="#__codelineno-5-17"></a><span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_11_0.png" /></p>
|
||
<p><img alt="png" src="../output_11_1.png" /></p>
|
||
<h2 id="using-the-actual-position-of-known-celestial-bodies">Using the actual position of known celestial bodies</h2>
|
||
<h3 id="example-1-circular-orbit">Example 1 - Circular Orbit</h3>
|
||
<p>Next we will take advantage of the <code>get_body</code> and <code>pulsar_access_export</code> functionalities of Astropy and OpenXNAV Mission Planning, respectively.</p>
|
||
<p>Astropy allows us to create a SkyCoord object using the actual location of the moon at any time or array of times. We will make our moon much bigger than in real life to ensure that we obfuscate some pulsars for demonstration purposes. We will define a new orbit circular orbit using the <code>CircularOrbit</code> class, which is a special case of the <code>EllipticalOrbit</code> class in which eccentricity and orbital inclination are zero.</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-6-1"><a id="__codelineno-6-1" name="__codelineno-6-1" href="#__codelineno-6-1"></a><span class="kn">from</span> <span class="nn">mission_planning</span> <span class="kn">import</span> <span class="n">CircularOrbit</span>
|
||
</span><span id="__span-6-2"><a id="__codelineno-6-2" name="__codelineno-6-2" href="#__codelineno-6-2"></a>
|
||
</span><span id="__span-6-3"><a id="__codelineno-6-3" name="__codelineno-6-3" href="#__codelineno-6-3"></a><span class="c1"># User definitions for circular orbit</span>
|
||
</span><span id="__span-6-4"><a id="__codelineno-6-4" name="__codelineno-6-4" href="#__codelineno-6-4"></a><span class="n">r</span> <span class="o">=</span> <span class="mi">360000</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span>
|
||
</span><span id="__span-6-5"><a id="__codelineno-6-5" name="__codelineno-6-5" href="#__codelineno-6-5"></a><span class="n">t0</span> <span class="o">=</span> <span class="n">Time</span><span class="p">(</span><span class="s1">'2023-08-24 12:12:15.932083'</span><span class="p">)</span>
|
||
</span><span id="__span-6-6"><a id="__codelineno-6-6" name="__codelineno-6-6" href="#__codelineno-6-6"></a><span class="n">t</span> <span class="o">=</span> <span class="n">t0</span> <span class="o">+</span> <span class="n">TimeDelta</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">25</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">day</span><span class="p">)</span>
|
||
</span><span id="__span-6-7"><a id="__codelineno-6-7" name="__codelineno-6-7" href="#__codelineno-6-7"></a>
|
||
</span><span id="__span-6-8"><a id="__codelineno-6-8" name="__codelineno-6-8" href="#__codelineno-6-8"></a><span class="n">moon</span> <span class="o">=</span> <span class="n">get_body</span><span class="p">(</span><span class="s1">'moon'</span><span class="p">,</span><span class="n">t</span><span class="p">)</span>
|
||
</span><span id="__span-6-9"><a id="__codelineno-6-9" name="__codelineno-6-9" href="#__codelineno-6-9"></a><span class="n">moon</span><span class="o">.</span><span class="n">representation_type</span><span class="o">=</span><span class="s1">'cartesian'</span>
|
||
</span><span id="__span-6-10"><a id="__codelineno-6-10" name="__codelineno-6-10" href="#__codelineno-6-10"></a><span class="n">MOON_RAD</span> <span class="o">=</span> <span class="mi">1740</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span>
|
||
</span><span id="__span-6-11"><a id="__codelineno-6-11" name="__codelineno-6-11" href="#__codelineno-6-11"></a>
|
||
</span><span id="__span-6-12"><a id="__codelineno-6-12" name="__codelineno-6-12" href="#__codelineno-6-12"></a><span class="n">earth</span> <span class="o">=</span> <span class="n">get_body</span><span class="p">(</span><span class="s1">'earth'</span><span class="p">,</span><span class="n">t</span><span class="p">)</span>
|
||
</span><span id="__span-6-13"><a id="__codelineno-6-13" name="__codelineno-6-13" href="#__codelineno-6-13"></a><span class="n">earth</span><span class="o">.</span><span class="n">representation_type</span> <span class="o">=</span> <span class="s1">'cartesian'</span>
|
||
</span><span id="__span-6-14"><a id="__codelineno-6-14" name="__codelineno-6-14" href="#__codelineno-6-14"></a><span class="n">EARTH_RAD</span> <span class="o">=</span> <span class="mf">6378.14</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span>
|
||
</span><span id="__span-6-15"><a id="__codelineno-6-15" name="__codelineno-6-15" href="#__codelineno-6-15"></a>
|
||
</span><span id="__span-6-16"><a id="__codelineno-6-16" name="__codelineno-6-16" href="#__codelineno-6-16"></a><span class="n">co</span> <span class="o">=</span> <span class="n">CircularOrbit</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="n">r</span><span class="p">)</span>
|
||
</span></code></pre></div>
|
||
<p>Next we will create an <code>astropy.table.Table</code> object with some pulsars that we want to load in to our pulsar access export function. The table is shown and created here for demonstration purposes; however, tables with this format can be created in the OpenXNAV pulsar query module.</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-7-1"><a id="__codelineno-7-1" name="__codelineno-7-1" href="#__codelineno-7-1"></a><span class="n">name</span> <span class="o">=</span> <span class="p">[</span> <span class="s1">'J0002+6216'</span> <span class="p">,</span> <span class="s1">'J0006+1834'</span> <span class="p">,</span> <span class="s1">'J0007+7303'</span> <span class="p">,</span> <span class="s1">'J0011+08'</span> <span class="p">,</span> <span class="s1">'J0012+5431'</span><span class="p">]</span>
|
||
</span><span id="__span-7-2"><a id="__codelineno-7-2" name="__codelineno-7-2" href="#__codelineno-7-2"></a><span class="n">raJ_deg</span> <span class="o">=</span> <span class="p">[</span> <span class="mf">0.74238</span> <span class="p">,</span> <span class="mf">1.52</span> <span class="p">,</span> <span class="mf">1.7571</span> <span class="p">,</span> <span class="mf">2.9</span> <span class="p">,</span> <span class="mf">3.0971</span> <span class="p">]</span> <span class="o">*</span> <span class="n">u</span><span class="o">.</span><span class="n">deg</span>
|
||
</span><span id="__span-7-3"><a id="__codelineno-7-3" name="__codelineno-7-3" href="#__codelineno-7-3"></a><span class="n">decJ_deg</span> <span class="o">=</span> <span class="p">[</span> <span class="mf">62.26928</span> <span class="p">,</span> <span class="mf">18.5831</span> <span class="p">,</span> <span class="mf">1.7571</span> <span class="p">,</span> <span class="mf">8.17</span> <span class="p">,</span> <span class="mf">54.5297</span> <span class="p">]</span> <span class="o">*</span> <span class="n">u</span><span class="o">.</span><span class="n">deg</span>
|
||
</span><span id="__span-7-4"><a id="__codelineno-7-4" name="__codelineno-7-4" href="#__codelineno-7-4"></a><span class="n">dist_kpc</span> <span class="o">=</span> <span class="p">[</span> <span class="mf">6.357</span> <span class="p">,</span> <span class="mf">0.86</span> <span class="p">,</span> <span class="mf">1.4</span> <span class="p">,</span> <span class="mf">5.399</span> <span class="p">,</span> <span class="mf">5.425</span> <span class="p">]</span> <span class="o">*</span> <span class="n">u</span><span class="o">.</span><span class="n">kpc</span>
|
||
</span><span id="__span-7-5"><a id="__codelineno-7-5" name="__codelineno-7-5" href="#__codelineno-7-5"></a>
|
||
</span><span id="__span-7-6"><a id="__codelineno-7-6" name="__codelineno-7-6" href="#__codelineno-7-6"></a><span class="n">t</span> <span class="o">=</span> <span class="n">Table</span><span class="p">([</span><span class="n">name</span><span class="p">,</span><span class="n">raJ_deg</span><span class="p">,</span><span class="n">decJ_deg</span><span class="p">,</span><span class="n">dist_kpc</span><span class="p">],</span>
|
||
</span><span id="__span-7-7"><a id="__codelineno-7-7" name="__codelineno-7-7" href="#__codelineno-7-7"></a> <span class="n">names</span> <span class="o">=</span> <span class="p">[</span><span class="s1">'NAME'</span><span class="p">,</span><span class="s1">'RAJD'</span><span class="p">,</span><span class="s1">'DECJD'</span><span class="p">,</span><span class="s1">'DIST'</span><span class="p">])</span>
|
||
</span><span id="__span-7-8"><a id="__codelineno-7-8" name="__codelineno-7-8" href="#__codelineno-7-8"></a>
|
||
</span><span id="__span-7-9"><a id="__codelineno-7-9" name="__codelineno-7-9" href="#__codelineno-7-9"></a><span class="n">t</span><span class="o">.</span><span class="n">write</span><span class="p">(</span><span class="s1">'some_pulsars.fits'</span><span class="p">,</span><span class="n">overwrite</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
|
||
</span><span id="__span-7-10"><a id="__codelineno-7-10" name="__codelineno-7-10" href="#__codelineno-7-10"></a><span class="nb">print</span><span class="p">(</span><span class="n">t</span><span class="p">)</span>
|
||
</span></code></pre></div>
|
||
<div class="language-text highlight"><pre><span></span><code> NAME RAJD DECJD DIST
|
||
deg deg kpc
|
||
---------- ------- -------- -----
|
||
J0002+6216 0.74238 62.26928 6.357
|
||
J0006+1834 1.52 18.5831 0.86
|
||
J0007+7303 1.7571 1.7571 1.4
|
||
J0011+08 2.9 8.17 5.399
|
||
J0012+5431 3.0971 54.5297 5.425
|
||
</code></pre></div>
|
||
<h4 id="using-the-pulsar_access_export-method">Using the <code>pulsar_access_export</code> method</h4>
|
||
<p>Now that we have our spacecraft, moon, and pulsar table, we can use the <code>pulsar_access_export</code> method to create a table and plot of pulsar accesses. Both this method and the <code>pulsar_access</code> function allow you to account for obfuscation from multiple celestial bodies; just make sure to define them as shown below, entered before the keyword arguments and alternating between the <code>SkyCoord</code> object representing the celestial body and the radius of the body represented as an <code>astropy.units.Quantity</code> object.</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-8-1"><a id="__codelineno-8-1" name="__codelineno-8-1" href="#__codelineno-8-1"></a><span class="n">pulsars_qtbl</span> <span class="o">=</span> <span class="n">QTable</span><span class="o">.</span><span class="n">read</span><span class="p">(</span><span class="s1">'some_pulsars.fits'</span><span class="p">)</span>
|
||
</span><span id="__span-8-2"><a id="__codelineno-8-2" name="__codelineno-8-2" href="#__codelineno-8-2"></a>
|
||
</span><span id="__span-8-3"><a id="__codelineno-8-3" name="__codelineno-8-3" href="#__codelineno-8-3"></a><span class="c1"># 3D plot of satellite orbit and moon</span>
|
||
</span><span id="__span-8-4"><a id="__codelineno-8-4" name="__codelineno-8-4" href="#__codelineno-8-4"></a><span class="n">fig1</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
|
||
</span><span id="__span-8-5"><a id="__codelineno-8-5" name="__codelineno-8-5" href="#__codelineno-8-5"></a><span class="n">ax1</span> <span class="o">=</span> <span class="n">fig1</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-8-6"><a id="__codelineno-8-6" name="__codelineno-8-6" href="#__codelineno-8-6"></a><span class="n">ax1</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">moon</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">moon</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">moon</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'moon'</span><span class="p">,</span><span class="n">s</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
|
||
</span><span id="__span-8-7"><a id="__codelineno-8-7" name="__codelineno-8-7" href="#__codelineno-8-7"></a><span class="n">ax1</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">co</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">co</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">co</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'satellite in cirular orbit'</span><span class="p">)</span>
|
||
</span><span id="__span-8-8"><a id="__codelineno-8-8" name="__codelineno-8-8" href="#__codelineno-8-8"></a><span class="n">ax1</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">earth</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">earth</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">earth</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'earth'</span><span class="p">,</span><span class="n">s</span><span class="o">=</span><span class="mi">500</span><span class="p">)</span>
|
||
</span><span id="__span-8-9"><a id="__codelineno-8-9" name="__codelineno-8-9" href="#__codelineno-8-9"></a><span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">'upper left'</span><span class="p">)</span>
|
||
</span><span id="__span-8-10"><a id="__codelineno-8-10" name="__codelineno-8-10" href="#__codelineno-8-10"></a>
|
||
</span><span id="__span-8-11"><a id="__codelineno-8-11" name="__codelineno-8-11" href="#__codelineno-8-11"></a><span class="c1"># Plot of pulsar accesses</span>
|
||
</span><span id="__span-8-12"><a id="__codelineno-8-12" name="__codelineno-8-12" href="#__codelineno-8-12"></a><span class="n">_</span><span class="p">,(</span><span class="n">fig2</span><span class="p">,</span><span class="n">ax2</span><span class="p">)</span> <span class="o">=</span> <span class="n">co</span><span class="o">.</span><span class="n">pulsar_access_export</span><span class="p">(</span><span class="n">pulsars_qtbl</span><span class="p">,</span>
|
||
</span><span id="__span-8-13"><a id="__codelineno-8-13" name="__codelineno-8-13" href="#__codelineno-8-13"></a> <span class="n">moon</span><span class="p">,</span><span class="n">MOON_RAD</span><span class="p">,</span>
|
||
</span><span id="__span-8-14"><a id="__codelineno-8-14" name="__codelineno-8-14" href="#__codelineno-8-14"></a> <span class="n">earth</span><span class="p">,</span><span class="n">EARTH_RAD</span><span class="p">,</span>
|
||
</span><span id="__span-8-15"><a id="__codelineno-8-15" name="__codelineno-8-15" href="#__codelineno-8-15"></a> <span class="n">make_csv</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span>
|
||
</span><span id="__span-8-16"><a id="__codelineno-8-16" name="__codelineno-8-16" href="#__codelineno-8-16"></a> <span class="n">make_fig</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span><span class="n">save_fig</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_17_0.png" /></p>
|
||
<p><img alt="png" src="../output_17_1.png" /></p>
|
||
<h3 id="example-2-elliptical-orbit">Example 2 - Elliptical Orbit</h3>
|
||
<p>Next we will define a new elliptical orbit from the <code>EllipticalOrbit</code> class in which eccentricity and orbital inclination are non-zero. </p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-9-1"><a id="__codelineno-9-1" name="__codelineno-9-1" href="#__codelineno-9-1"></a><span class="c1"># User definitions for elliptical orbital elements</span>
|
||
</span><span id="__span-9-2"><a id="__codelineno-9-2" name="__codelineno-9-2" href="#__codelineno-9-2"></a>
|
||
</span><span id="__span-9-3"><a id="__codelineno-9-3" name="__codelineno-9-3" href="#__codelineno-9-3"></a><span class="n">e</span> <span class="o">=</span> <span class="mf">0.3</span> <span class="c1"># eccentricity of the orbit</span>
|
||
</span><span id="__span-9-4"><a id="__codelineno-9-4" name="__codelineno-9-4" href="#__codelineno-9-4"></a><span class="n">a</span> <span class="o">=</span> <span class="mi">30000</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span> <span class="c1"># semi-major axis </span>
|
||
</span><span id="__span-9-5"><a id="__codelineno-9-5" name="__codelineno-9-5" href="#__codelineno-9-5"></a><span class="n">inc</span> <span class="o">=</span> <span class="mi">20</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># inclination of orbit</span>
|
||
</span><span id="__span-9-6"><a id="__codelineno-9-6" name="__codelineno-9-6" href="#__codelineno-9-6"></a><span class="n">w</span> <span class="o">=</span> <span class="mi">90</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># argument of periapsis</span>
|
||
</span><span id="__span-9-7"><a id="__codelineno-9-7" name="__codelineno-9-7" href="#__codelineno-9-7"></a><span class="n">v_0</span> <span class="o">=</span> <span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># initial eccentric anomaly</span>
|
||
</span><span id="__span-9-8"><a id="__codelineno-9-8" name="__codelineno-9-8" href="#__codelineno-9-8"></a><span class="n">Omega</span> <span class="o">=</span> <span class="mi">90</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">deg</span> <span class="c1"># longitude of ascending node</span>
|
||
</span><span id="__span-9-9"><a id="__codelineno-9-9" name="__codelineno-9-9" href="#__codelineno-9-9"></a>
|
||
</span><span id="__span-9-10"><a id="__codelineno-9-10" name="__codelineno-9-10" href="#__codelineno-9-10"></a><span class="n">t0</span> <span class="o">=</span> <span class="n">Time</span><span class="p">(</span><span class="s1">'2023-08-24 12:12:15.932'</span><span class="p">)</span>
|
||
</span><span id="__span-9-11"><a id="__codelineno-9-11" name="__codelineno-9-11" href="#__codelineno-9-11"></a><span class="n">t</span> <span class="o">=</span> <span class="n">t0</span> <span class="o">+</span> <span class="n">TimeDelta</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">25</span><span class="p">,</span><span class="mi">1000</span><span class="p">)</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">day</span><span class="p">)</span>
|
||
</span><span id="__span-9-12"><a id="__codelineno-9-12" name="__codelineno-9-12" href="#__codelineno-9-12"></a>
|
||
</span><span id="__span-9-13"><a id="__codelineno-9-13" name="__codelineno-9-13" href="#__codelineno-9-13"></a><span class="n">moon</span> <span class="o">=</span> <span class="n">get_body</span><span class="p">(</span><span class="s1">'moon'</span><span class="p">,</span><span class="n">t</span><span class="p">)</span>
|
||
</span><span id="__span-9-14"><a id="__codelineno-9-14" name="__codelineno-9-14" href="#__codelineno-9-14"></a><span class="n">moon</span><span class="o">.</span><span class="n">representation_type</span><span class="o">=</span><span class="s1">'cartesian'</span>
|
||
</span><span id="__span-9-15"><a id="__codelineno-9-15" name="__codelineno-9-15" href="#__codelineno-9-15"></a><span class="n">MOON_RAD</span> <span class="o">=</span> <span class="mi">1740</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span>
|
||
</span><span id="__span-9-16"><a id="__codelineno-9-16" name="__codelineno-9-16" href="#__codelineno-9-16"></a>
|
||
</span><span id="__span-9-17"><a id="__codelineno-9-17" name="__codelineno-9-17" href="#__codelineno-9-17"></a><span class="n">earth</span> <span class="o">=</span> <span class="n">SkyCoord</span><span class="p">(</span><span class="n">x</span><span class="o">=</span><span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span><span class="n">y</span><span class="o">=</span><span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span><span class="n">z</span><span class="o">=</span><span class="mi">0</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">m</span><span class="p">,</span><span class="n">frame</span><span class="o">=</span><span class="s1">'gcrs'</span><span class="p">,</span><span class="n">representation_type</span><span class="o">=</span><span class="s1">'cartesian'</span><span class="p">)</span>
|
||
</span><span id="__span-9-18"><a id="__codelineno-9-18" name="__codelineno-9-18" href="#__codelineno-9-18"></a><span class="n">EARTH_RAD</span> <span class="o">=</span> <span class="mf">6378.14</span><span class="o">*</span><span class="n">u</span><span class="o">.</span><span class="n">km</span>
|
||
</span><span id="__span-9-19"><a id="__codelineno-9-19" name="__codelineno-9-19" href="#__codelineno-9-19"></a>
|
||
</span><span id="__span-9-20"><a id="__codelineno-9-20" name="__codelineno-9-20" href="#__codelineno-9-20"></a><span class="n">eo2</span> <span class="o">=</span> <span class="n">EllipticalOrbit</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">e</span><span class="p">,</span><span class="n">v_0</span><span class="o">=</span><span class="n">v_0</span><span class="p">,</span>
|
||
</span><span id="__span-9-21"><a id="__codelineno-9-21" name="__codelineno-9-21" href="#__codelineno-9-21"></a> <span class="n">inc</span><span class="o">=</span><span class="n">inc</span><span class="p">,</span><span class="n">w</span><span class="o">=</span><span class="n">w</span><span class="p">,</span>
|
||
</span><span id="__span-9-22"><a id="__codelineno-9-22" name="__codelineno-9-22" href="#__codelineno-9-22"></a> <span class="n">Omega</span><span class="o">=</span><span class="n">Omega</span><span class="p">)</span>
|
||
</span><span id="__span-9-23"><a id="__codelineno-9-23" name="__codelineno-9-23" href="#__codelineno-9-23"></a>
|
||
</span><span id="__span-9-24"><a id="__codelineno-9-24" name="__codelineno-9-24" href="#__codelineno-9-24"></a><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><span id="__span-9-25"><a id="__codelineno-9-25" name="__codelineno-9-25" href="#__codelineno-9-25"></a>
|
||
</span><span id="__span-9-26"><a id="__codelineno-9-26" name="__codelineno-9-26" href="#__codelineno-9-26"></a><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="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-9-27"><a id="__codelineno-9-27" name="__codelineno-9-27" href="#__codelineno-9-27"></a><span class="n">ax</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">eo2</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo2</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo2</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">))</span>
|
||
</span><span id="__span-9-28"><a id="__codelineno-9-28" name="__codelineno-9-28" href="#__codelineno-9-28"></a>
|
||
</span><span id="__span-9-29"><a id="__codelineno-9-29" name="__codelineno-9-29" href="#__codelineno-9-29"></a><span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_19_0.png" /></p>
|
||
<p>Next we will create a CSV with some pulsars that we want to load in to our pulsar access export function. The CSV is shown and created here for demonstration purposes:</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-10-1"><a id="__codelineno-10-1" name="__codelineno-10-1" href="#__codelineno-10-1"></a><span class="n">name</span> <span class="o">=</span> <span class="p">[</span> <span class="s1">'J0002+6216'</span> <span class="p">,</span> <span class="s1">'J0006+1834'</span> <span class="p">,</span> <span class="s1">'J0007+7303'</span> <span class="p">,</span> <span class="s1">'J0011+08'</span> <span class="p">,</span> <span class="s1">'J0012+5431'</span><span class="p">]</span>
|
||
</span><span id="__span-10-2"><a id="__codelineno-10-2" name="__codelineno-10-2" href="#__codelineno-10-2"></a><span class="n">raJ_deg</span> <span class="o">=</span> <span class="p">[</span> <span class="mf">0.74238</span> <span class="p">,</span> <span class="mf">1.52</span> <span class="p">,</span> <span class="mf">1.7571</span> <span class="p">,</span> <span class="mf">2.9</span> <span class="p">,</span> <span class="mf">3.0971</span> <span class="p">]</span> <span class="o">*</span> <span class="n">u</span><span class="o">.</span><span class="n">deg</span>
|
||
</span><span id="__span-10-3"><a id="__codelineno-10-3" name="__codelineno-10-3" href="#__codelineno-10-3"></a><span class="n">decJ_deg</span> <span class="o">=</span> <span class="p">[</span> <span class="mf">62.26928</span> <span class="p">,</span> <span class="mf">18.5831</span> <span class="p">,</span> <span class="mf">1.7571</span> <span class="p">,</span> <span class="mf">8.17</span> <span class="p">,</span> <span class="mf">54.5297</span> <span class="p">]</span> <span class="o">*</span> <span class="n">u</span><span class="o">.</span><span class="n">deg</span>
|
||
</span><span id="__span-10-4"><a id="__codelineno-10-4" name="__codelineno-10-4" href="#__codelineno-10-4"></a><span class="n">dist_kpc</span> <span class="o">=</span> <span class="p">[</span> <span class="mf">6.357</span> <span class="p">,</span> <span class="mf">0.86</span> <span class="p">,</span> <span class="mf">1.4</span> <span class="p">,</span> <span class="mf">5.399</span> <span class="p">,</span> <span class="mf">5.425</span> <span class="p">]</span> <span class="o">*</span> <span class="n">u</span><span class="o">.</span><span class="n">kpc</span>
|
||
</span><span id="__span-10-5"><a id="__codelineno-10-5" name="__codelineno-10-5" href="#__codelineno-10-5"></a>
|
||
</span><span id="__span-10-6"><a id="__codelineno-10-6" name="__codelineno-10-6" href="#__codelineno-10-6"></a><span class="n">tbl</span> <span class="o">=</span> <span class="n">Table</span><span class="p">([</span><span class="n">name</span><span class="p">,</span><span class="n">raJ_deg</span><span class="p">,</span><span class="n">decJ_deg</span><span class="p">,</span><span class="n">dist_kpc</span><span class="p">],</span>
|
||
</span><span id="__span-10-7"><a id="__codelineno-10-7" name="__codelineno-10-7" href="#__codelineno-10-7"></a> <span class="n">names</span> <span class="o">=</span> <span class="p">[</span><span class="s1">'NAME'</span><span class="p">,</span><span class="s1">'RAJD'</span><span class="p">,</span><span class="s1">'DECJD'</span><span class="p">,</span><span class="s1">'DIST'</span><span class="p">])</span>
|
||
</span><span id="__span-10-8"><a id="__codelineno-10-8" name="__codelineno-10-8" href="#__codelineno-10-8"></a>
|
||
</span><span id="__span-10-9"><a id="__codelineno-10-9" name="__codelineno-10-9" href="#__codelineno-10-9"></a><span class="n">tbl</span><span class="o">.</span><span class="n">write</span><span class="p">(</span><span class="s1">'some_pulsars.fits'</span><span class="p">,</span><span class="n">overwrite</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
|
||
</span><span id="__span-10-10"><a id="__codelineno-10-10" name="__codelineno-10-10" href="#__codelineno-10-10"></a><span class="nb">print</span><span class="p">(</span><span class="n">tbl</span><span class="p">)</span>
|
||
</span></code></pre></div>
|
||
<div class="language-text highlight"><pre><span></span><code> NAME RAJD DECJD DIST
|
||
deg deg kpc
|
||
---------- ------- -------- -----
|
||
J0002+6216 0.74238 62.26928 6.357
|
||
J0006+1834 1.52 18.5831 0.86
|
||
J0007+7303 1.7571 1.7571 1.4
|
||
J0011+08 2.9 8.17 5.399
|
||
J0012+5431 3.0971 54.5297 5.425
|
||
</code></pre></div>
|
||
<h4 id="using-the-pulsar_access_export-method_1">Using the <code>pulsar_access_export</code> method</h4>
|
||
<p>Now that we have our spacecraft, moon, and pulsar CSV, we can use the <code>pulsar_access_export</code> method to create a table and plot of pulsar accesses. Both this method and the <code>pulsar_access</code> function allow you to account for obfuscation from multiple celestial bodies; just make sure to define them as shown below, entered before the keyword arguments and alternating between the SkyCoord object representing the celestial body and the radius of the body represented as an <code>astropy.units.Quantity object</code>.</p>
|
||
<p>As part of the <code>pulsar_access_export</code> method call, we can write all pulsar access data to a CSV file. This CSV can then be used in the pulsar photon time-of-arrival simulation module to model the X-ray pulse sequence that the spacecraft would observe at those coordinates.</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-11-1"><a id="__codelineno-11-1" name="__codelineno-11-1" href="#__codelineno-11-1"></a><span class="n">pulsars_qtbl</span> <span class="o">=</span> <span class="n">QTable</span><span class="o">.</span><span class="n">read</span><span class="p">(</span><span class="s1">'some_pulsars.fits'</span><span class="p">)</span>
|
||
</span><span id="__span-11-2"><a id="__codelineno-11-2" name="__codelineno-11-2" href="#__codelineno-11-2"></a>
|
||
</span><span id="__span-11-3"><a id="__codelineno-11-3" name="__codelineno-11-3" href="#__codelineno-11-3"></a><span class="c1"># 3D plot of satellite orbit</span>
|
||
</span><span id="__span-11-4"><a id="__codelineno-11-4" name="__codelineno-11-4" href="#__codelineno-11-4"></a><span class="n">fig1</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
|
||
</span><span id="__span-11-5"><a id="__codelineno-11-5" name="__codelineno-11-5" href="#__codelineno-11-5"></a><span class="n">ax1</span> <span class="o">=</span> <span class="n">fig1</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-11-6"><a id="__codelineno-11-6" name="__codelineno-11-6" href="#__codelineno-11-6"></a><span class="n">ax1</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">eo2</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo2</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo2</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'satellite in elliptical orbit'</span><span class="p">)</span>
|
||
</span><span id="__span-11-7"><a id="__codelineno-11-7" name="__codelineno-11-7" href="#__codelineno-11-7"></a><span class="n">ax1</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">earth</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">earth</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">earth</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'earth'</span><span class="p">,</span><span class="n">s</span><span class="o">=</span><span class="mi">200</span><span class="p">)</span>
|
||
</span><span id="__span-11-8"><a id="__codelineno-11-8" name="__codelineno-11-8" href="#__codelineno-11-8"></a><span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">'upper left'</span><span class="p">)</span>
|
||
</span><span id="__span-11-9"><a id="__codelineno-11-9" name="__codelineno-11-9" href="#__codelineno-11-9"></a>
|
||
</span><span id="__span-11-10"><a id="__codelineno-11-10" name="__codelineno-11-10" href="#__codelineno-11-10"></a><span class="c1"># 3D plot of satellite orbit and moon</span>
|
||
</span><span id="__span-11-11"><a id="__codelineno-11-11" name="__codelineno-11-11" href="#__codelineno-11-11"></a><span class="n">fig2</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
|
||
</span><span id="__span-11-12"><a id="__codelineno-11-12" name="__codelineno-11-12" href="#__codelineno-11-12"></a><span class="n">ax2</span> <span class="o">=</span> <span class="n">fig2</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
|
||
</span><span id="__span-11-13"><a id="__codelineno-11-13" name="__codelineno-11-13" href="#__codelineno-11-13"></a><span class="n">ax2</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">moon</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">moon</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">moon</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'moon'</span><span class="p">,</span><span class="n">s</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
|
||
</span><span id="__span-11-14"><a id="__codelineno-11-14" name="__codelineno-11-14" href="#__codelineno-11-14"></a><span class="n">ax2</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">eo2</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo2</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">eo2</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'satellite in elliptical orbit'</span><span class="p">)</span>
|
||
</span><span id="__span-11-15"><a id="__codelineno-11-15" name="__codelineno-11-15" href="#__codelineno-11-15"></a><span class="n">ax2</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">earth</span><span class="o">.</span><span class="n">x</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">earth</span><span class="o">.</span><span class="n">y</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">earth</span><span class="o">.</span><span class="n">z</span><span class="o">.</span><span class="n">to</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">km</span><span class="p">),</span><span class="n">label</span><span class="o">=</span><span class="s1">'earth'</span><span class="p">,</span><span class="n">s</span><span class="o">=</span><span class="mi">200</span><span class="p">)</span>
|
||
</span><span id="__span-11-16"><a id="__codelineno-11-16" name="__codelineno-11-16" href="#__codelineno-11-16"></a><span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">'upper left'</span><span class="p">)</span>
|
||
</span><span id="__span-11-17"><a id="__codelineno-11-17" name="__codelineno-11-17" href="#__codelineno-11-17"></a>
|
||
</span><span id="__span-11-18"><a id="__codelineno-11-18" name="__codelineno-11-18" href="#__codelineno-11-18"></a><span class="c1"># Plot of pulsar accesses, and save pulsar access table to CSV</span>
|
||
</span><span id="__span-11-19"><a id="__codelineno-11-19" name="__codelineno-11-19" href="#__codelineno-11-19"></a><span class="n">accesses</span><span class="p">,(</span><span class="n">fig3</span><span class="p">,</span><span class="n">ax3</span><span class="p">)</span> <span class="o">=</span> <span class="n">eo2</span><span class="o">.</span><span class="n">pulsar_access_export</span><span class="p">(</span><span class="n">pulsars_qtbl</span><span class="p">,</span>
|
||
</span><span id="__span-11-20"><a id="__codelineno-11-20" name="__codelineno-11-20" href="#__codelineno-11-20"></a> <span class="n">moon</span><span class="p">,</span><span class="n">MOON_RAD</span><span class="p">,</span>
|
||
</span><span id="__span-11-21"><a id="__codelineno-11-21" name="__codelineno-11-21" href="#__codelineno-11-21"></a> <span class="n">earth</span><span class="p">,</span><span class="n">EARTH_RAD</span><span class="p">,</span>
|
||
</span><span id="__span-11-22"><a id="__codelineno-11-22" name="__codelineno-11-22" href="#__codelineno-11-22"></a> <span class="n">make_csv</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span><span class="n">save_csv</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span>
|
||
</span><span id="__span-11-23"><a id="__codelineno-11-23" name="__codelineno-11-23" href="#__codelineno-11-23"></a> <span class="n">make_fig</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span><span class="n">save_fig</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
|
||
</span></code></pre></div>
|
||
<p><img alt="png" src="../output_23_0.png" /></p>
|
||
<p><img alt="png" src="../output_23_1.png" /></p>
|
||
<p><img alt="png" src="../output_23_2.png" /></p>
|
||
<p>The breaks in the plot above might be hard to see since they are so small compared to the scale of the timeline displayed. We have therefore represented the breaks in tabular form below.</p>
|
||
<div class="language-python highlight"><pre><span></span><code><span id="__span-12-1"><a id="__codelineno-12-1" name="__codelineno-12-1" href="#__codelineno-12-1"></a><span class="c1"># Create DataFrame containing all times at which access to at least one pulsar is interrupted</span>
|
||
</span><span id="__span-12-2"><a id="__codelineno-12-2" name="__codelineno-12-2" href="#__codelineno-12-2"></a><span class="n">access_breaks</span> <span class="o">=</span> <span class="n">accesses</span><span class="p">[</span><span class="n">accesses</span><span class="o">.</span><span class="n">all</span><span class="p">(</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span> <span class="o">==</span> <span class="kc">False</span><span class="p">]</span>
|
||
</span><span id="__span-12-3"><a id="__codelineno-12-3" name="__codelineno-12-3" href="#__codelineno-12-3"></a><span class="n">access_breaks</span>
|
||
</span></code></pre></div>
|
||
<table>
|
||
<thead>
|
||
<tr>
|
||
<th></th>
|
||
<th>Time_JDate</th>
|
||
<th>Spacecraft_pos_X_km</th>
|
||
<th>Spacecraft_pos_Y_km</th>
|
||
<th>Spacecraft_pos_Z_km</th>
|
||
<th>Spacecraft_vel_X_kmps</th>
|
||
<th>Spacecraft_vel_Y_kmps</th>
|
||
<th>Spacecraft_vel_Z_kmps</th>
|
||
<th>J0002+6216</th>
|
||
<th>J0006+1834</th>
|
||
<th>J0007+7303</th>
|
||
<th>J0011+08</th>
|
||
<th>J0012+5431</th>
|
||
</tr>
|
||
</thead>
|
||
<tbody>
|
||
<tr>
|
||
<td>0</td>
|
||
<td>2.460181e+06</td>
|
||
<td>-19733.545037</td>
|
||
<td>2.343791e-12</td>
|
||
<td>4.132736e-13</td>
|
||
<td>4.667259</td>
|
||
<td>0.000000</td>
|
||
<td>0.000000</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>24</td>
|
||
<td>2.460182e+06</td>
|
||
<td>-19722.356542</td>
|
||
<td>-8.518943e+02</td>
|
||
<td>-1.662908e+01</td>
|
||
<td>4.663209</td>
|
||
<td>0.190622</td>
|
||
<td>0.065196</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>48</td>
|
||
<td>2.460182e+06</td>
|
||
<td>-19688.801001</td>
|
||
<td>-1.703092e+03</td>
|
||
<td>-3.324457e+01</td>
|
||
<td>4.651077</td>
|
||
<td>0.380744</td>
|
||
<td>0.130222</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>72</td>
|
||
<td>2.460183e+06</td>
|
||
<td>-19632.908273</td>
|
||
<td>-2.552897e+03</td>
|
||
<td>-4.983288e+01</td>
|
||
<td>4.630912</td>
|
||
<td>0.569870</td>
|
||
<td>0.194907</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>96</td>
|
||
<td>2.460183e+06</td>
|
||
<td>-19554.728216</td>
|
||
<td>-3.400614e+03</td>
|
||
<td>-6.638041e+01</td>
|
||
<td>4.602798</td>
|
||
<td>0.757509</td>
|
||
<td>0.259083</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>120</td>
|
||
<td>2.460184e+06</td>
|
||
<td>-19454.330828</td>
|
||
<td>-4.245547e+03</td>
|
||
<td>-8.287361e+01</td>
|
||
<td>4.566851</td>
|
||
<td>0.943180</td>
|
||
<td>0.322587</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>143</td>
|
||
<td>2.460185e+06</td>
|
||
<td>-19264.410077</td>
|
||
<td>5.493859e+03</td>
|
||
<td>1.072408e+02</td>
|
||
<td>4.499325</td>
|
||
<td>-1.214310</td>
|
||
<td>-0.415318</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>144</td>
|
||
<td>2.460185e+06</td>
|
||
<td>-19331.806438</td>
|
||
<td>-5.087002e+03</td>
|
||
<td>-9.929892e+01</td>
|
||
<td>4.523216</td>
|
||
<td>1.126412</td>
|
||
<td>0.385256</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>167</td>
|
||
<td>2.460185e+06</td>
|
||
<td>-19397.632920</td>
|
||
<td>4.654341e+03</td>
|
||
<td>9.085332e+01</td>
|
||
<td>4.546627</td>
|
||
<td>-1.032427</td>
|
||
<td>-0.353111</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>168</td>
|
||
<td>2.460185e+06</td>
|
||
<td>-19187.265950</td>
|
||
<td>-5.924286e+03</td>
|
||
<td>-1.156428e+02</td>
|
||
<td>4.472073</td>
|
||
<td>1.306749</td>
|
||
<td>0.446935</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>191</td>
|
||
<td>2.460186e+06</td>
|
||
<td>-19508.779991</td>
|
||
<td>3.811009e+03</td>
|
||
<td>7.439137e+01</td>
|
||
<td>4.586325</td>
|
||
<td>-0.847881</td>
|
||
<td>-0.289993</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>192</td>
|
||
<td>2.460186e+06</td>
|
||
<td>-19020.841125</td>
|
||
<td>-6.756708e+03</td>
|
||
<td>-1.318918e+02</td>
|
||
<td>4.413626</td>
|
||
<td>1.483752</td>
|
||
<td>0.507473</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>215</td>
|
||
<td>2.460186e+06</td>
|
||
<td>-19597.751010</td>
|
||
<td>2.964556e+03</td>
|
||
<td>5.786850e+01</td>
|
||
<td>4.618256</td>
|
||
<td>-0.661138</td>
|
||
<td>-0.226122</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>239</td>
|
||
<td>2.460187e+06</td>
|
||
<td>-19664.466140</td>
|
||
<td>2.115677e+03</td>
|
||
<td>4.129829e+01</td>
|
||
<td>4.642291</td>
|
||
<td>-0.472672</td>
|
||
<td>-0.161663</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>263</td>
|
||
<td>2.460188e+06</td>
|
||
<td>-19708.865772</td>
|
||
<td>1.265068e+03</td>
|
||
<td>2.469429e+01</td>
|
||
<td>4.658329</td>
|
||
<td>-0.282972</td>
|
||
<td>-0.096782</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>287</td>
|
||
<td>2.460188e+06</td>
|
||
<td>-19730.910356</td>
|
||
<td>4.134251e+02</td>
|
||
<td>8.070109e+00</td>
|
||
<td>4.666305</td>
|
||
<td>-0.092530</td>
|
||
<td>-0.031647</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>311</td>
|
||
<td>2.460189e+06</td>
|
||
<td>-19730.580291</td>
|
||
<td>-4.385562e+02</td>
|
||
<td>-8.560672e+00</td>
|
||
<td>4.666185</td>
|
||
<td>0.098154</td>
|
||
<td>0.033571</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>333</td>
|
||
<td>2.460189e+06</td>
|
||
<td>-13839.201092</td>
|
||
<td>1.850473e+04</td>
|
||
<td>3.612147e+02</td>
|
||
<td>2.807521</td>
|
||
<td>-3.552673</td>
|
||
<td>-1.215086</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>334</td>
|
||
<td>2.460189e+06</td>
|
||
<td>-18399.018428</td>
|
||
<td>9.194010e+03</td>
|
||
<td>1.794682e+02</td>
|
||
<td>4.199348</td>
|
||
<td>-1.985878</td>
|
||
<td>-0.679210</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>335</td>
|
||
<td>2.460189e+06</td>
|
||
<td>-19707.875871</td>
|
||
<td>-1.290179e+03</td>
|
||
<td>-2.518445e+01</td>
|
||
<td>4.657971</td>
|
||
<td>0.288581</td>
|
||
<td>0.098700</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>359</td>
|
||
<td>2.460190e+06</td>
|
||
<td>-19662.817284</td>
|
||
<td>-2.140747e+03</td>
|
||
<td>-4.178765e+01</td>
|
||
<td>4.641696</td>
|
||
<td>0.478252</td>
|
||
<td>0.163572</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>383</td>
|
||
<td>2.460191e+06</td>
|
||
<td>-19595.444668</td>
|
||
<td>-2.989564e+03</td>
|
||
<td>-5.835666e+01</td>
|
||
<td>4.617427</td>
|
||
<td>0.666673</td>
|
||
<td>0.228016</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>407</td>
|
||
<td>2.460191e+06</td>
|
||
<td>-19505.818229</td>
|
||
<td>-3.835935e+03</td>
|
||
<td>-7.487792e+01</td>
|
||
<td>4.585264</td>
|
||
<td>0.853359</td>
|
||
<td>0.291866</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>431</td>
|
||
<td>2.460192e+06</td>
|
||
<td>-19394.018402</td>
|
||
<td>-4.679164e+03</td>
|
||
<td>-9.133787e+01</td>
|
||
<td>4.545339</td>
|
||
<td>1.037832</td>
|
||
<td>0.354960</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>454</td>
|
||
<td>2.460192e+06</td>
|
||
<td>-19335.736565</td>
|
||
<td>5.062236e+03</td>
|
||
<td>9.881549e+01</td>
|
||
<td>4.524612</td>
|
||
<td>-1.121046</td>
|
||
<td>-0.383420</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>455</td>
|
||
<td>2.460192e+06</td>
|
||
<td>-19260.146075</td>
|
||
<td>-5.518559e+03</td>
|
||
<td>-1.077230e+02</td>
|
||
<td>4.497816</td>
|
||
<td>1.219630</td>
|
||
<td>0.417138</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>478</td>
|
||
<td>2.460193e+06</td>
|
||
<td>-19457.609710</td>
|
||
<td>4.220669e+03</td>
|
||
<td>8.238798e+01</td>
|
||
<td>4.568022</td>
|
||
<td>-0.937736</td>
|
||
<td>-0.320724</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>479</td>
|
||
<td>2.460193e+06</td>
|
||
<td>-19104.322848</td>
|
||
<td>-6.353426e+03</td>
|
||
<td>-1.240197e+02</td>
|
||
<td>4.442885</td>
|
||
<td>1.398305</td>
|
||
<td>0.478248</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>502</td>
|
||
<td>2.460194e+06</td>
|
||
<td>-19557.352895</td>
|
||
<td>3.375643e+03</td>
|
||
<td>6.589298e+01</td>
|
||
<td>4.603740</td>
|
||
<td>-0.752000</td>
|
||
<td>-0.257199</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>526</td>
|
||
<td>2.460194e+06</td>
|
||
<td>-19634.876395</td>
|
||
<td>2.527855e+03</td>
|
||
<td>4.934405e+01</td>
|
||
<td>4.631621</td>
|
||
<td>-0.564310</td>
|
||
<td>-0.193005</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>550</td>
|
||
<td>2.460195e+06</td>
|
||
<td>-19690.110807</td>
|
||
<td>1.677999e+03</td>
|
||
<td>3.275475e+01</td>
|
||
<td>4.651550</td>
|
||
<td>-0.375147</td>
|
||
<td>-0.128308</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>574</td>
|
||
<td>2.460195e+06</td>
|
||
<td>-19723.006865</td>
|
||
<td>8.267705e+02</td>
|
||
<td>1.613866e+01</td>
|
||
<td>4.663444</td>
|
||
<td>-0.185003</td>
|
||
<td>-0.063275</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>598</td>
|
||
<td>2.460196e+06</td>
|
||
<td>-19733.535299</td>
|
||
<td>-2.513369e+01</td>
|
||
<td>-4.906128e-01</td>
|
||
<td>4.667255</td>
|
||
<td>0.005626</td>
|
||
<td>0.001924</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>622</td>
|
||
<td>2.460197e+06</td>
|
||
<td>-19721.686753</td>
|
||
<td>-8.770174e+02</td>
|
||
<td>-1.711949e+01</td>
|
||
<td>4.662967</td>
|
||
<td>0.196240</td>
|
||
<td>0.067118</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>646</td>
|
||
<td>2.460197e+06</td>
|
||
<td>-19687.471756</td>
|
||
<td>-1.728184e+03</td>
|
||
<td>-3.373437e+01</td>
|
||
<td>4.650597</td>
|
||
<td>0.386340</td>
|
||
<td>0.132136</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>670</td>
|
||
<td>2.460198e+06</td>
|
||
<td>-19630.920755</td>
|
||
<td>-2.577938e+03</td>
|
||
<td>-5.032167e+01</td>
|
||
<td>4.630196</td>
|
||
<td>0.575429</td>
|
||
<td>0.196808</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>694</td>
|
||
<td>2.460198e+06</td>
|
||
<td>-19552.084202</td>
|
||
<td>-3.425582e+03</td>
|
||
<td>-6.686780e+01</td>
|
||
<td>4.601849</td>
|
||
<td>0.763017</td>
|
||
<td>0.260967</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>718</td>
|
||
<td>2.460199e+06</td>
|
||
<td>-19451.032689</td>
|
||
<td>-4.270423e+03</td>
|
||
<td>-8.335919e+01</td>
|
||
<td>4.565673</td>
|
||
<td>0.948623</td>
|
||
<td>0.324448</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>741</td>
|
||
<td>2.460200e+06</td>
|
||
<td>-19268.654973</td>
|
||
<td>5.469155e+03</td>
|
||
<td>1.067586e+02</td>
|
||
<td>4.500827</td>
|
||
<td>-1.208987</td>
|
||
<td>-0.413498</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>742</td>
|
||
<td>2.460200e+06</td>
|
||
<td>-19327.857151</td>
|
||
<td>-5.111765e+03</td>
|
||
<td>-9.978229e+01</td>
|
||
<td>4.521814</td>
|
||
<td>1.131776</td>
|
||
<td>0.387090</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>765</td>
|
||
<td>2.460200e+06</td>
|
||
<td>-19401.228226</td>
|
||
<td>4.629514e+03</td>
|
||
<td>9.036870e+01</td>
|
||
<td>4.547908</td>
|
||
<td>-1.027019</td>
|
||
<td>-0.351261</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>766</td>
|
||
<td>2.460200e+06</td>
|
||
<td>-19182.669102</td>
|
||
<td>-5.948915e+03</td>
|
||
<td>-1.161236e+02</td>
|
||
<td>4.470452</td>
|
||
<td>1.312021</td>
|
||
<td>0.448737</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>789</td>
|
||
<td>2.460201e+06</td>
|
||
<td>-19511.722453</td>
|
||
<td>3.786080e+03</td>
|
||
<td>7.390476e+01</td>
|
||
<td>4.587378</td>
|
||
<td>-0.842402</td>
|
||
<td>-0.288118</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>790</td>
|
||
<td>2.460201e+06</td>
|
||
<td>-19015.600922</td>
|
||
<td>-6.781183e+03</td>
|
||
<td>-1.323695e+02</td>
|
||
<td>4.411793</td>
|
||
<td>1.488919</td>
|
||
<td>0.509240</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>813</td>
|
||
<td>2.460201e+06</td>
|
||
<td>-19600.037983</td>
|
||
<td>2.939546e+03</td>
|
||
<td>5.738031e+01</td>
|
||
<td>4.619079</td>
|
||
<td>-0.655600</td>
|
||
<td>-0.224229</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>837</td>
|
||
<td>2.460202e+06</td>
|
||
<td>-19666.095577</td>
|
||
<td>2.090606e+03</td>
|
||
<td>4.080890e+01</td>
|
||
<td>4.642879</td>
|
||
<td>-0.467091</td>
|
||
<td>-0.159755</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>861</td>
|
||
<td>2.460203e+06</td>
|
||
<td>-19709.836218</td>
|
||
<td>1.239957e+03</td>
|
||
<td>2.420411e+01</td>
|
||
<td>4.658680</td>
|
||
<td>-0.277362</td>
|
||
<td>-0.094863</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>885</td>
|
||
<td>2.460203e+06</td>
|
||
<td>-19731.220949</td>
|
||
<td>3.882936e+02</td>
|
||
<td>7.579540e+00</td>
|
||
<td>4.666417</td>
|
||
<td>-0.086906</td>
|
||
<td>-0.029724</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>909</td>
|
||
<td>2.460204e+06</td>
|
||
<td>-19730.230755</td>
|
||
<td>-4.636870e+02</td>
|
||
<td>-9.051228e+00</td>
|
||
<td>4.666059</td>
|
||
<td>0.103778</td>
|
||
<td>0.035494</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>933</td>
|
||
<td>2.460204e+06</td>
|
||
<td>-19706.866516</td>
|
||
<td>-1.315289e+03</td>
|
||
<td>-2.567460e+01</td>
|
||
<td>4.657606</td>
|
||
<td>0.294189</td>
|
||
<td>0.100619</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>957</td>
|
||
<td>2.460205e+06</td>
|
||
<td>-19661.149008</td>
|
||
<td>-2.165815e+03</td>
|
||
<td>-4.227698e+01</td>
|
||
<td>4.641094</td>
|
||
<td>0.483830</td>
|
||
<td>0.165480</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
<tr>
|
||
<td>981</td>
|
||
<td>2.460206e+06</td>
|
||
<td>-19593.118960</td>
|
||
<td>-3.014570e+03</td>
|
||
<td>-5.884478e+01</td>
|
||
<td>4.616590</td>
|
||
<td>0.672208</td>
|
||
<td>0.229909</td>
|
||
<td>True</td>
|
||
<td>True</td>
|
||
<td>False</td>
|
||
<td>False</td>
|
||
<td>True</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<h2 id="substituting-stk-for-openxnav-mission-planning">Substituting STK for OpenXNAV Mission Planning</h2>
|
||
<p>As an alternative to the <code>mission_planning</code> module built into OpenXNAV, users can also plan their missions and generate trajectory and pulsar access inputs using the mission planning software of their choice, such as ANSYS STK. STK is very visual, and a great option if you’re starting your mission plan from scratch and want a lot of flexibility in designing your spacecraft trajectory.</p>
|
||
<p>STK users who choose this route should follow the following steps:</p>
|
||
<ol>
|
||
<li>Create a new scenario in STK, including the time over which you are interested in analyzing.</li>
|
||
<li>Export the .st files from the OpenXNAV Pulsar Query module and then open them within your new scenario as star objects:</li>
|
||
</ol>
|
||
<p><img alt="star.PNG" src="../star.PNG" /></p>
|
||
<ol>
|
||
<li>Add in a new satellite object and customize the trajectory to your desired level of complexity:</li>
|
||
</ol>
|
||
<p><img alt="satellite_example.PNG" src="../satellite_example.PNG" /></p>
|
||
<ol>
|
||
<li>Create planets for any celestial bodies you would like to be included as obstacles in viewing pulsars (ex: Moon):</li>
|
||
</ol>
|
||
<p><img alt="Planet_Object.PNG" src="../Planet_Object.PNG" /></p>
|
||
<ol>
|
||
<li>Within your satellite object, create a special constraint (i.e. object exclusions) and select your obstacle planets:</li>
|
||
</ol>
|
||
<p><img alt="planet_obstacle.PNG" src="../planet_obstacle.PNG" /></p>
|
||
<ol>
|
||
<li>Go to Analysis, create accesses between the satellite and the imported pulsar over your scenario window:</li>
|
||
</ol>
|
||
<p><img alt="create_accesses.PNG" src="../create_accesses.PNG" /></p>
|
||
<p><img alt="view_accesses.PNG" src="../view_accesses.PNG" /></p>
|
||
<ol>
|
||
<li>Export the access windows as an image and the satellite trajectory in ECEF text file with position and velocity:</li>
|
||
</ol>
|
||
<p><img alt="export_trajectory.PNG" src="../export_trajectory.PNG" /></p>
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