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@@ -88,35 +88,36 @@ code span.wa { color: #5e5e5e; font-style: italic; } /* Warning */
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<title>ISS Eclipse Determination</title>
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<meta property="article:published" itemprop="datePublished" content="2021-04-14"/>
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<meta property="article:created" itemprop="dateCreated" content="2021-04-14"/>
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<meta property="article:published" itemprop="datePublished" content="2021-04-01"/>
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@@ -1467,20 +1468,112 @@ code span.wa { color: #5e5e5e; font-style: italic; } /* Warning */
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<div class="d-title">
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<h1>ISS Eclipse Determination</h1>
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<div class="dt-tags">
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<div class="dt=tag">Julia</div>
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<div class="dt=tag">Astrodynamics</div>
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</div>
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<!--/radix_placeholder_categories-->
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<p><p>Determining how much sunlight a body</p></p>
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<p><p>Determining how much sunlight a body is receiving.</p></p>
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</div>
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<div class="d-byline">
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Anson Biggs <a href="https://ansonbiggs.com" class="uri">https://ansonbiggs.com</a>
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<br/>04-14-2021
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<br/>04-01-2021
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</div>
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<div class="d-article">
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<p>Distill is a publication format for scientific and technical writing, native to the web.</p>
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<p>Learn more about using Distill at <a href="https://rstudio.github.io/distill" class="uri">https://rstudio.github.io/distill</a>.</p>
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<div class="sourceCode" id="cb1"><pre class="sourceCode r distill-force-highlighting-css"><code class="sourceCode r"></code></pre></div>
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<p>Determining the eclipses a satellite will encounter is a major driving factor when designing a mission in space. Thermal and power budgets have to be made with the fact that a satellite will periodically be in the complete darkness of space with no solar radiation to power the solar panels and keep the spacecraft from freezing.</p>
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<h2 id="what-is-an-eclipse">What is an Eclipse</h2>
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<figure>
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<img src="geometry.svg" alt="Geometry of an Eclipse" /><figcaption aria-hidden="true">Geometry of an Eclipse</figcaption>
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</figure>
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<figure>
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<img src="vectors_radiuss.svg" alt="Body Radius’s and Position Vectors" /><figcaption aria-hidden="true">Body Radius’s and Position Vectors</figcaption>
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</figure>
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<h2 id="the-code">The Code</h2>
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<div class="layout-chunk" data-layout="l-body">
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<details>
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<summary>
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Show code
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<div class="sourceCode" id="cb1"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Unitful</span>
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<span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> LinearAlgebra</span>
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<span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> SatelliteToolbox</span>
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<span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Plots</span>
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<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Colors</span>
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<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a>theme(<span class="op">:</span>ggplot2)</span></code></pre></div>
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</details>
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</div>
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<div class="layout-chunk" data-layout="l-body">
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<div class="sourceCode" id="cb2"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a>ISS <span class="op">=</span> tle<span class="st">"""</span></span>
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<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a><span class="st">ISS (ZARYA)</span></span>
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<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a><span class="st">1 25544U 98067A 21103.84943184 .00000176 00000-0 11381-4 0 9990</span></span>
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<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a><span class="st">2 25544 51.6434 300.9481 0002858 223.8443 263.8789 15.48881793278621</span></span>
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<span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a><span class="st">"""</span></span></code></pre></div>
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</div>
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<div class="layout-chunk" data-layout="l-body">
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<div class="sourceCode" id="cb3"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>orbit <span class="op">=</span> init_orbit_propagator(<span class="dt">Val</span>(<span class="op">:</span>twobody)<span class="op">,</span> ISS[<span class="fl">1</span>])<span class="op">;</span></span>
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<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>time <span class="op">=</span> <span class="fl">0</span><span class="op">:</span><span class="fl">0.1</span><span class="op">:</span>((<span class="fl">24</span> <span class="op">/</span> ISS[<span class="fl">1</span>].n) <span class="op">.*</span> <span class="fl">60</span> <span class="op">*</span> <span class="fl">60</span>)<span class="op">;</span></span>
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<span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a>o<span class="op">,</span> r<span class="op">,</span> v <span class="op">=</span> propagate<span class="op">!</span>(orbit<span class="op">,</span> time)<span class="op">;</span></span></code></pre></div>
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</div>
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<div class="layout-chunk" data-layout="l-body">
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<div class="sourceCode" id="cb4"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="kw">function</span> sunlight(Rbody<span class="op">,</span> r_sun_body<span class="op">,</span> r_body_sc)</span>
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<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a> Rsun <span class="op">=</span> <span class="fl">695_700</span>u<span class="st">"km"</span></span>
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<span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a> </span>
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<span id="cb4-4"><a href="#cb4-4" aria-hidden="true" tabindex="-1"></a> hu <span class="op">=</span> Rbody <span class="op">*</span> norm(r_sun_body) <span class="op">/</span> (Rsun <span class="op">-</span> Rbody)</span>
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<span id="cb4-5"><a href="#cb4-5" aria-hidden="true" tabindex="-1"></a> </span>
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<span id="cb4-6"><a href="#cb4-6" aria-hidden="true" tabindex="-1"></a> θe <span class="op">=</span> acos((r_sun_body ⋅ r_body_sc) <span class="op">/</span> (norm(r_sun_body) <span class="op">*</span> norm(r_body_sc)))</span>
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<span id="cb4-7"><a href="#cb4-7" aria-hidden="true" tabindex="-1"></a></span>
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<span id="cb4-8"><a href="#cb4-8" aria-hidden="true" tabindex="-1"></a> θu <span class="op">=</span> atan(Rbody <span class="op">/</span> hu)</span>
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<span id="cb4-9"><a href="#cb4-9" aria-hidden="true" tabindex="-1"></a> du <span class="op">=</span> hu <span class="op">*</span> sin(θu) <span class="op">/</span> sin(θe <span class="op">+</span> θu)</span>
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<span id="cb4-10"><a href="#cb4-10" aria-hidden="true" tabindex="-1"></a></span>
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<span id="cb4-11"><a href="#cb4-11" aria-hidden="true" tabindex="-1"></a> θp <span class="op">=</span> π <span class="op">-</span> atan(norm(r_sun_body) <span class="op">/</span> (Rsun <span class="op">+</span> Rbody))</span>
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<span id="cb4-12"><a href="#cb4-12" aria-hidden="true" tabindex="-1"></a> dp <span class="op">=</span> Rbody <span class="op">*</span> sin(θp) <span class="op">/</span> cos(θe <span class="op">-</span> θp)</span>
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<span id="cb4-13"><a href="#cb4-13" aria-hidden="true" tabindex="-1"></a></span>
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<span id="cb4-14"><a href="#cb4-14" aria-hidden="true" tabindex="-1"></a> S <span class="op">=</span> <span class="fl">1</span></span>
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<span id="cb4-15"><a href="#cb4-15" aria-hidden="true" tabindex="-1"></a> <span class="kw">if</span> (θe <span class="op"><</span> π <span class="op">/</span> <span class="fl">2</span>) <span class="op">&&</span> (norm(r_body_sc) <span class="op"><</span> du)</span>
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<span id="cb4-16"><a href="#cb4-16" aria-hidden="true" tabindex="-1"></a> S <span class="op">=</span> <span class="fl">0</span></span>
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<span id="cb4-17"><a href="#cb4-17" aria-hidden="true" tabindex="-1"></a> <span class="kw">end</span></span>
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<span id="cb4-18"><a href="#cb4-18" aria-hidden="true" tabindex="-1"></a> <span class="kw">if</span> (θe <span class="op"><</span> π <span class="op">/</span> <span class="fl">2</span>) <span class="op">&&</span> ((du <span class="op"><</span> norm(r_body_sc)) <span class="op">&&</span> (norm(r_body_sc) <span class="op"><</span> dp))</span>
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<span id="cb4-19"><a href="#cb4-19" aria-hidden="true" tabindex="-1"></a> S <span class="op">=</span> (norm(r_body_sc .<span class="op">|></span> u<span class="st">"km"</span>) <span class="op">-</span> du) <span class="op">/</span> (dp <span class="op">-</span> du) <span class="op">|></span> ustrip</span>
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<span id="cb4-20"><a href="#cb4-20" aria-hidden="true" tabindex="-1"></a> <span class="kw">end</span></span>
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<span id="cb4-21"><a href="#cb4-21" aria-hidden="true" tabindex="-1"></a></span>
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<span id="cb4-22"><a href="#cb4-22" aria-hidden="true" tabindex="-1"></a> <span class="kw">return</span> S</span>
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<span id="cb4-23"><a href="#cb4-23" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span></code></pre></div>
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</div>
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<div class="layout-chunk" data-layout="l-body">
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<div class="sourceCode" id="cb5"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a>S <span class="op">=</span> r .<span class="op">|></span> R <span class="op">-></span> sunlight(<span class="fl">6371</span>u<span class="st">"km"</span><span class="op">,</span> [<span class="fl">0.5370</span><span class="op">,</span> <span class="fl">1.2606</span><span class="op">,</span> <span class="fl">0.5466</span>] <span class="op">.*</span> <span class="fl">1e8</span>u<span class="st">"km"</span><span class="op">,</span> R <span class="op">.*</span> u<span class="st">"m"</span>)</span></code></pre></div>
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</div>
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<h2 id="plotting-the-results">Plotting the Results</h2>
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<div class="layout-chunk" data-layout="l-body-outset">
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<details>
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<summary>
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Show code
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<div class="sourceCode" id="cb6"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a>light_range <span class="op">=</span> range(colorant<span class="st">"black"</span><span class="op">,</span> stop <span class="op">=</span> colorant<span class="st">"yellow"</span><span class="op">,</span> length <span class="op">=</span> <span class="fl">101</span>)<span class="op">;</span></span>
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<span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a>light_colors <span class="op">=</span> [light_range[unique(round(<span class="dt">Int</span><span class="op">,</span> <span class="fl">1</span> <span class="op">+</span> s <span class="op">*</span> <span class="fl">100</span>))][<span class="fl">1</span>] <span class="kw">for</span> s <span class="kw">in</span> S]<span class="op">;</span></span>
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<span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a></span>
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<span id="cb6-4"><a href="#cb6-4" aria-hidden="true" tabindex="-1"></a>plot(</span>
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<span id="cb6-5"><a href="#cb6-5" aria-hidden="true" tabindex="-1"></a> <span class="dt">LinRange</span>(<span class="fl">0</span><span class="op">,</span> <span class="fl">24</span><span class="op">,</span> length(S))<span class="op">,</span></span>
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<span id="cb6-6"><a href="#cb6-6" aria-hidden="true" tabindex="-1"></a> S <span class="op">.*</span> <span class="fl">100</span><span class="op">,</span></span>
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<span id="cb6-7"><a href="#cb6-7" aria-hidden="true" tabindex="-1"></a> linewidth <span class="op">=</span> <span class="fl">5</span><span class="op">,</span></span>
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<span id="cb6-8"><a href="#cb6-8" aria-hidden="true" tabindex="-1"></a> legend <span class="op">=</span> <span class="ex">false</span><span class="op">,</span></span>
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<span id="cb6-9"><a href="#cb6-9" aria-hidden="true" tabindex="-1"></a> color <span class="op">=</span> light_colors<span class="op">,</span></span>
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<span id="cb6-10"><a href="#cb6-10" aria-hidden="true" tabindex="-1"></a>)<span class="op">;</span></span>
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<span id="cb6-11"><a href="#cb6-11" aria-hidden="true" tabindex="-1"></a></span>
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<span id="cb6-12"><a href="#cb6-12" aria-hidden="true" tabindex="-1"></a>xlabel<span class="op">!</span>(<span class="st">"Time (hr)"</span>)<span class="op">;</span></span>
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<span id="cb6-13"><a href="#cb6-13" aria-hidden="true" tabindex="-1"></a>ylabel<span class="op">!</span>(<span class="st">"Sunlight (%)"</span>)<span class="op">;</span></span>
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<span id="cb6-14"><a href="#cb6-14" aria-hidden="true" tabindex="-1"></a>title<span class="op">!</span>(<span class="st">"ISS Sunlight Over a Day"</span>)</span></code></pre></div>
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</details>
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<div class="figure"><span id="fig:unnamed-chunk-6"></span>
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<img src="iss-eclipse-determination_files/figure-html5/unnamed-chunk-6-J1.png" alt="Rocket Motor Data: [@thrustcurve]" width="300" data-distill-preview=1 />
|
||||
<p class="caption">
|
||||
Figure 1: Rocket Motor Data: <span class="citation" data-cites="thrustcurve">[@thrustcurve]</span>
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
<div class="sourceCode" id="cb7"><pre class="sourceCode r distill-force-highlighting-css"><code class="sourceCode r"></code></pre></div>
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||||
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||||
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||||
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||||
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||||
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||||
<div class="appendix-bottom"></div>
|
||||
<div class="appendix-bottom">
|
||||
<h3 id="updates-and-corrections">Corrections</h3>
|
||||
<p>If you see mistakes or want to suggest changes, please <a href="https://gitlab.com/lander-team/air-prop-simulation">create an issue</a> on the source repository.</p>
|
||||
<h3 id="reuse">Reuse</h3>
|
||||
<p>Text and figures are licensed under Creative Commons Attribution <a rel="license" href="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0</a>. Source code is available at <a href="https://gitlab.com/lander-team/air-prop-simulation">https://gitlab.com/lander-team/air-prop-simulation</a>, unless otherwise noted. The figures that have been reused from other sources don't fall under this license and can be recognized by a note in their caption: "Figure from ...".</p>
|
||||
</div>
|
||||
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|
||||
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||||
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||||
|
||||
Reference in New Issue
Block a user