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bryanwweber · Mar 27, 2024 · 8c83ed2 · 8c83ed2
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diff --git a/...es/time-since-periapsis-and-keplers-equation/elliptical-orbit-time-in-shadow.md b/...es/time-since-periapsis-and-keplers-equation/elliptical-orbit-time-in-shadow.md
@@ -112,6 +112,7 @@ mu = 3.986004418E5 # km**3/s**2
 
 r_p = 6378 + 500 # km
 r_a = 6378 + 5000 # km
+R_E = 6378 # km
 e = (r_a - r_p) / (r_p + r_a)
 a = (r_a + r_p) / 2
 T = 2 * np.pi / np.sqrt(mu) * a**(3/2)

diff --git a/classical-orbital-elements/classical-orbital-elements.html b/classical-orbital-elements/classical-orbital-elements.html
diff --git a/interplanetary-maneuvers/planetary-arrival-capture.html b/interplanetary-maneuvers/planetary-arrival-capture.html
diff --git a/orbital-maneuvers/nonimpulsive-maneuver-example.html b/orbital-maneuvers/nonimpulsive-maneuver-example.html
@@ -709,7 +709,7 @@ <h2>Solution<a class="headerlink" href="#solution" title="Link to this heading">
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x7f90c44ae060&gt;]
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x7f610d2c8ad0&gt;]
 </pre></div>
 </div>
 <img alt="../_images/4a4c7edd0df96fda916598b1598a6bf58f661fd4e6c360268ceeb398e28de359.png" src="../_images/4a4c7edd0df96fda916598b1598a6bf58f661fd4e6c360268ceeb398e28de359.png" />

diff --git a/orbital-maneuvers/plane-change-maneuvers.html b/orbital-maneuvers/plane-change-maneuvers.html
diff --git a/searchindex.js b/searchindex.js
diff --git a/the-n-body-problem/lagrange-points.html b/the-n-body-problem/lagrange-points.html
@@ -800,42 +800,42 @@ <h2>Collinear Lagrange Points<a class="headerlink" href="#collinear-lagrange-poi
 </style>
 
 <div class="animation">
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- <input id="_anim_slider5f5f7fbbffc24a16a45b4058278a7482" type="range" class="anim-slider"
+ <input id="_anim_slider62e00e23455f454c80663fb35688be12" type="range" class="anim-slider"
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- oninput="anim5f5f7fbbffc24a16a45b4058278a7482.set_frame(parseInt(this.value));">
+ oninput="anim62e00e23455f454c80663fb35688be12.set_frame(parseInt(this.value));">
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- <button title="Decrease speed" aria-label="Decrease speed" onclick="anim5f5f7fbbffc24a16a45b4058278a7482.slower()">
+ <button title="Decrease speed" aria-label="Decrease speed" onclick="anim62e00e23455f454c80663fb35688be12.slower()">
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- <button title="First frame" aria-label="First frame" onclick="anim5f5f7fbbffc24a16a45b4058278a7482.first_frame()">
+ <button title="First frame" aria-label="First frame" onclick="anim62e00e23455f454c80663fb35688be12.first_frame()">
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- <button title="Play backwards" aria-label="Play backwards" onclick="anim5f5f7fbbffc24a16a45b4058278a7482.reverse_animation()">
+ <button title="Play backwards" aria-label="Play backwards" onclick="anim62e00e23455f454c80663fb35688be12.reverse_animation()">
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- <button title="Play" aria-label="Play" onclick="anim5f5f7fbbffc24a16a45b4058278a7482.play_animation()">
+ <button title="Play" aria-label="Play" onclick="anim62e00e23455f454c80663fb35688be12.play_animation()">
  <i class="fa fa-play"></i></button>
- <button title="Next frame" aria-label="Next frame" onclick="anim5f5f7fbbffc24a16a45b4058278a7482.next_frame()">
+ <button title="Next frame" aria-label="Next frame" onclick="anim62e00e23455f454c80663fb35688be12.next_frame()">
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- <button title="Increase speed" aria-label="Increase speed" onclick="anim5f5f7fbbffc24a16a45b4058278a7482.faster()">
+ <button title="Increase speed" aria-label="Increase speed" onclick="anim62e00e23455f454c80663fb35688be12.faster()">
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- <form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_select5f5f7fbbffc24a16a45b4058278a7482"
+ <form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_select62e00e23455f454c80663fb35688be12"
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- <input type="radio" name="state" value="once" id="_anim_radio1_5f5f7fbbffc24a16a45b4058278a7482"
+ <input type="radio" name="state" value="once" id="_anim_radio1_62e00e23455f454c80663fb35688be12"
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- <label for="_anim_radio1_5f5f7fbbffc24a16a45b4058278a7482">Once</label>
- <input type="radio" name="state" value="loop" id="_anim_radio2_5f5f7fbbffc24a16a45b4058278a7482"
+ <label for="_anim_radio1_62e00e23455f454c80663fb35688be12">Once</label>
+ <input type="radio" name="state" value="loop" id="_anim_radio2_62e00e23455f454c80663fb35688be12"
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- <label for="_anim_radio2_5f5f7fbbffc24a16a45b4058278a7482">Loop</label>
- <input type="radio" name="state" value="reflect" id="_anim_radio3_5f5f7fbbffc24a16a45b4058278a7482"
+ <label for="_anim_radio2_62e00e23455f454c80663fb35688be12">Loop</label>
+ <input type="radio" name="state" value="reflect" id="_anim_radio3_62e00e23455f454c80663fb35688be12"
  >
- <label for="_anim_radio3_5f5f7fbbffc24a16a45b4058278a7482">Reflect</label>
+ <label for="_anim_radio3_62e00e23455f454c80663fb35688be12">Reflect</label>
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  </div>
 </div>
@@ -845,9 +845,9 @@ <h2>Collinear Lagrange Points<a class="headerlink" href="#collinear-lagrange-poi
  /* Instantiate the Animation class. */
  /* The IDs given should match those used in the template above. */
  (function() {
- var img_id = "_anim_img5f5f7fbbffc24a16a45b4058278a7482";
- var slider_id = "_anim_slider5f5f7fbbffc24a16a45b4058278a7482";
- var loop_select_id = "_anim_loop_select5f5f7fbbffc24a16a45b4058278a7482";
+ var img_id = "_anim_img62e00e23455f454c80663fb35688be12";
+ var slider_id = "_anim_slider62e00e23455f454c80663fb35688be12";
+ var loop_select_id = "_anim_loop_select62e00e23455f454c80663fb35688be12";
  var frames = new Array(100);
 
  frames[0] = "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAOECAYAAACxbcj6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\
@@ -140851,7 +140851,7 @@ <h2>Collinear Lagrange Points<a class="headerlink" href="#collinear-lagrange-poi
  /* set a timeout to make sure all the above elements are created before
  the object is initialized. */
  setTimeout(function() {
- anim5f5f7fbbffc24a16a45b4058278a7482 = new Animation(frames, img_id, slider_id, 200.0,
+ anim62e00e23455f454c80663fb35688be12 = new Animation(frames, img_id, slider_id, 200.0,
  loop_select_id);
  }, 0);
  })()

diff --git a/the-orbit-equation/hyperbolic-trajectories.html b/the-orbit-equation/hyperbolic-trajectories.html
@@ -698,42 +698,42 @@ <h1>Hyperbolic Trajectories (<span class="math notranslate nohighlight">\(e &gt;
 </style>
 
 <div class="animation">
- <img id="_anim_imgfcb3084de71542988c2c6130c236bb42">
+ <img id="_anim_img97932e5bc22044c4bad007a71e3f65fa">
  <div class="anim-controls">
- <input id="_anim_sliderfcb3084de71542988c2c6130c236bb42" type="range" class="anim-slider"
+ <input id="_anim_slider97932e5bc22044c4bad007a71e3f65fa" type="range" class="anim-slider"
  name="points" min="0" max="1" step="1" value="0"
- oninput="animfcb3084de71542988c2c6130c236bb42.set_frame(parseInt(this.value));">
+ oninput="anim97932e5bc22044c4bad007a71e3f65fa.set_frame(parseInt(this.value));">
  <div class="anim-buttons">
- <button title="Decrease speed" aria-label="Decrease speed" onclick="animfcb3084de71542988c2c6130c236bb42.slower()">
+ <button title="Decrease speed" aria-label="Decrease speed" onclick="anim97932e5bc22044c4bad007a71e3f65fa.slower()">
  <i class="fa fa-minus"></i></button>
- <button title="First frame" aria-label="First frame" onclick="animfcb3084de71542988c2c6130c236bb42.first_frame()">
+ <button title="First frame" aria-label="First frame" onclick="anim97932e5bc22044c4bad007a71e3f65fa.first_frame()">
  <i class="fa fa-fast-backward"></i></button>
- <button title="Previous frame" aria-label="Previous frame" onclick="animfcb3084de71542988c2c6130c236bb42.previous_frame()">
+ <button title="Previous frame" aria-label="Previous frame" onclick="anim97932e5bc22044c4bad007a71e3f65fa.previous_frame()">
  <i class="fa fa-step-backward"></i></button>
- <button title="Play backwards" aria-label="Play backwards" onclick="animfcb3084de71542988c2c6130c236bb42.reverse_animation()">
+ <button title="Play backwards" aria-label="Play backwards" onclick="anim97932e5bc22044c4bad007a71e3f65fa.reverse_animation()">
  <i class="fa fa-play fa-flip-horizontal"></i></button>
- <button title="Pause" aria-label="Pause" onclick="animfcb3084de71542988c2c6130c236bb42.pause_animation()">
+ <button title="Pause" aria-label="Pause" onclick="anim97932e5bc22044c4bad007a71e3f65fa.pause_animation()">
  <i class="fa fa-pause"></i></button>
- <button title="Play" aria-label="Play" onclick="animfcb3084de71542988c2c6130c236bb42.play_animation()">
+ <button title="Play" aria-label="Play" onclick="anim97932e5bc22044c4bad007a71e3f65fa.play_animation()">
  <i class="fa fa-play"></i></button>
- <button title="Next frame" aria-label="Next frame" onclick="animfcb3084de71542988c2c6130c236bb42.next_frame()">
+ <button title="Next frame" aria-label="Next frame" onclick="anim97932e5bc22044c4bad007a71e3f65fa.next_frame()">
  <i class="fa fa-step-forward"></i></button>
- <button title="Last frame" aria-label="Last frame" onclick="animfcb3084de71542988c2c6130c236bb42.last_frame()">
+ <button title="Last frame" aria-label="Last frame" onclick="anim97932e5bc22044c4bad007a71e3f65fa.last_frame()">
  <i class="fa fa-fast-forward"></i></button>
- <button title="Increase speed" aria-label="Increase speed" onclick="animfcb3084de71542988c2c6130c236bb42.faster()">
+ <button title="Increase speed" aria-label="Increase speed" onclick="anim97932e5bc22044c4bad007a71e3f65fa.faster()">
  <i class="fa fa-plus"></i></button>
  </div>
- <form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_selectfcb3084de71542988c2c6130c236bb42"
+ <form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_select97932e5bc22044c4bad007a71e3f65fa"
  class="anim-state">
- <input type="radio" name="state" value="once" id="_anim_radio1_fcb3084de71542988c2c6130c236bb42"
+ <input type="radio" name="state" value="once" id="_anim_radio1_97932e5bc22044c4bad007a71e3f65fa"
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- <label for="_anim_radio1_fcb3084de71542988c2c6130c236bb42">Once</label>
- <input type="radio" name="state" value="loop" id="_anim_radio2_fcb3084de71542988c2c6130c236bb42"
+ <label for="_anim_radio1_97932e5bc22044c4bad007a71e3f65fa">Once</label>
+ <input type="radio" name="state" value="loop" id="_anim_radio2_97932e5bc22044c4bad007a71e3f65fa"
  checked>
- <label for="_anim_radio2_fcb3084de71542988c2c6130c236bb42">Loop</label>
- <input type="radio" name="state" value="reflect" id="_anim_radio3_fcb3084de71542988c2c6130c236bb42"
+ <label for="_anim_radio2_97932e5bc22044c4bad007a71e3f65fa">Loop</label>
+ <input type="radio" name="state" value="reflect" id="_anim_radio3_97932e5bc22044c4bad007a71e3f65fa"
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- <label for="_anim_radio3_fcb3084de71542988c2c6130c236bb42">Reflect</label>
+ <label for="_anim_radio3_97932e5bc22044c4bad007a71e3f65fa">Reflect</label>
  </form>
  </div>
 </div>
@@ -743,9 +743,9 @@ <h1>Hyperbolic Trajectories (<span class="math notranslate nohighlight">\(e &gt;
  /* Instantiate the Animation class. */
  /* The IDs given should match those used in the template above. */
  (function() {
- var img_id = "_anim_imgfcb3084de71542988c2c6130c236bb42";
- var slider_id = "_anim_sliderfcb3084de71542988c2c6130c236bb42";
- var loop_select_id = "_anim_loop_selectfcb3084de71542988c2c6130c236bb42";
+ var img_id = "_anim_img97932e5bc22044c4bad007a71e3f65fa";
+ var slider_id = "_anim_slider97932e5bc22044c4bad007a71e3f65fa";
+ var loop_select_id = "_anim_loop_select97932e5bc22044c4bad007a71e3f65fa";
  var frames = new Array(200);
 
  frames[0] = "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAOECAYAAACxbcj6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\
@@ -161828,7 +161828,7 @@ <h1>Hyperbolic Trajectories (<span class="math notranslate nohighlight">\(e &gt;
  /* set a timeout to make sure all the above elements are created before
  the object is initialized. */
  setTimeout(function() {
- animfcb3084de71542988c2c6130c236bb42 = new Animation(frames, img_id, slider_id, 200.0,
+ anim97932e5bc22044c4bad007a71e3f65fa = new Animation(frames, img_id, slider_id, 200.0,
  loop_select_id);
  }, 0);
  })()

diff --git a/time-since-periapsis-and-keplers-equation/elliptical-orbit-time-in-shadow.html b/time-since-periapsis-and-keplers-equation/elliptical-orbit-time-in-shadow.html
@@ -529,6 +529,7 @@ <h2>Solution<a class="headerlink" href="#solution" title="Link to this heading">
 
 <span class="n">r_p</span> <span class="o">=</span> <span class="mi">6378</span> <span class="o">+</span> <span class="mi">500</span> <span class="c1"># km</span>
 <span class="n">r_a</span> <span class="o">=</span> <span class="mi">6378</span> <span class="o">+</span> <span class="mi">5000</span> <span class="c1"># km</span>
+<span class="n">R_E</span> <span class="o">=</span> <span class="mi">6378</span> <span class="c1"># km</span>
 <span class="n">e</span> <span class="o">=</span> <span class="p">(</span><span class="n">r_a</span> <span class="o">-</span> <span class="n">r_p</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">r_p</span> <span class="o">+</span> <span class="n">r_a</span><span class="p">)</span>
 <span class="n">a</span> <span class="o">=</span> <span class="p">(</span><span class="n">r_a</span> <span class="o">+</span> <span class="n">r_p</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>
 <span class="n">T</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span> <span class="o">/</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">mu</span><span class="p">)</span> <span class="o">*</span> <span class="n">a</span><span class="o">**</span><span class="p">(</span><span class="mi">3</span><span class="o">/</span><span class="mi">2</span><span class="p">)</span>