Skip to content

Commit

Permalink
deploy: 8ea9ffc
Browse files Browse the repository at this point in the history
  • Loading branch information
@bryanwweber
bryanwweber committed May 22, 2024
1 parent 869680d commit 2363932
Show file tree
Hide file tree
Showing 10 changed files with 82 additions and 82 deletions.
2 changes: 1 addition & 1 deletion _sources/the-n-body-problem/circular-restricted-three-body-problem.md
View file
Original file line number Diff line number Diff line change
Expand Up @@ -281,7 +281,7 @@ where $\tau = t/t_C$. Making the terms on the right hand side of Eq. {eq}`eq:fiv

:::{math}
:label: eq:non-dim-five-term-accel-cr3bp
\ddot{\vector{\rho}} = \left(\ddot{x}^* - 2\dot{y}^* - x^*\right)\uvec{\imath} + \left(\ddot{y}^* + 2\dot{x}^* - y^_\right)\uvec{\jmath} + \ddot{z}^*\uvec{k}
\ddot{\vector{\rho}} = \left(\ddot{x}^* - 2\dot{y}^* - x^*\right)\uvec{\imath} + \left(\ddot{y}^* + 2\dot{x}^* - y^*\right)\uvec{\jmath} + \ddot{z}^*\uvec{k}
:::

Now we have the non-dimensional inertial acceleration, we need to make Eq. {eq}`eq:vector-eom-cr3bp`, the equation of motion, non-dimensional. After a bunch of algebra, not shown here, we end up with:
Expand Down
6 changes: 3 additions & 3 deletions classical-orbital-elements/classical-orbital-elements.html
View file

Large diffs are not rendered by default.

4 changes: 2 additions & 2 deletions interplanetary-maneuvers/planetary-arrival-capture.html
View file

Large diffs are not rendered by default.

2 changes: 1 addition & 1 deletion orbital-maneuvers/nonimpulsive-maneuver-example.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -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 0x7ffb1104d3d0&gt;]
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x7fd1e8a191f0&gt;]
</pre></div>
</div>
<img alt="../_images/4a4c7edd0df96fda916598b1598a6bf58f661fd4e6c360268ceeb398e28de359.png" src="../_images/4a4c7edd0df96fda916598b1598a6bf58f661fd4e6c360268ceeb398e28de359.png" />
Expand Down
8 changes: 4 additions & 4 deletions orbital-maneuvers/plane-change-maneuvers.html
View file

Large diffs are not rendered by default.

2 changes: 1 addition & 1 deletion searchindex.js
View file

Large diffs are not rendered by default.

2 changes: 1 addition & 1 deletion the-n-body-problem/circular-restricted-three-body-problem.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -670,7 +670,7 @@ <h2>Non-dimensional Equations of Motion<a class="headerlink" href="#non-dimensio
<span class="eqno">(68)<a class="headerlink" href="#equation-eq-non-dimensional-acceleration-cr3bp" title="Link to this equation">#</a></span>\[\ddot{\vector{\rho}} = \frac{d^2\vector{r}}{dt^2}\frac{t_C^2}{r_{12}} = \frac{d^2\vector{\rho}}{d\tau^2}\]</div>
<p>where <span class="math notranslate nohighlight">\(\tau = t/t_C\)</span>. Making the terms on the right hand side of Eq. <a class="reference internal" href="#equation-eq-five-term-acceleration-cr3bp">(56)</a> non-dimensional is also the result of multiplying by <span class="math notranslate nohighlight">\(t_C^2/r_{12}\)</span>. Note that the dimensions of <span class="math notranslate nohighlight">\(\varOmega\)</span> are <span class="math notranslate nohighlight">\(t^{-1}\)</span>:</p>
<div class="math notranslate nohighlight" id="equation-eq-non-dim-five-term-accel-cr3bp">
<span class="eqno">(69)<a class="headerlink" href="#equation-eq-non-dim-five-term-accel-cr3bp" title="Link to this equation">#</a></span>\[\ddot{\vector{\rho}} = \left(\ddot{x}^* - 2\dot{y}^* - x^*\right)\uvec{\imath} + \left(\ddot{y}^* + 2\dot{x}^* - y^_\right)\uvec{\jmath} + \ddot{z}^*\uvec{k}\]</div>
<span class="eqno">(69)<a class="headerlink" href="#equation-eq-non-dim-five-term-accel-cr3bp" title="Link to this equation">#</a></span>\[\ddot{\vector{\rho}} = \left(\ddot{x}^* - 2\dot{y}^* - x^*\right)\uvec{\imath} + \left(\ddot{y}^* + 2\dot{x}^* - y^*\right)\uvec{\jmath} + \ddot{z}^*\uvec{k}\]</div>
<p>Now we have the non-dimensional inertial acceleration, we need to make Eq. <a class="reference internal" href="#equation-eq-vector-eom-cr3bp">(64)</a>, the equation of motion, non-dimensional. After a bunch of algebra, not shown here, we end up with:</p>
<div class="math notranslate nohighlight" id="equation-eq-non-dim-vector-eom-cr3bp">
<span class="eqno">(70)<a class="headerlink" href="#equation-eq-non-dim-vector-eom-cr3bp" title="Link to this equation">#</a></span>\[\ddot{\vector{\rho}} = -\frac{1 - \pi_2}{\sigma^3}\vector{\sigma} - \frac{\pi_2}{\psi^3}\vector{\psi}\]</div>
Expand Down
46 changes: 23 additions & 23 deletions the-n-body-problem/lagrange-points.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -800,42 +800,42 @@ <h2>Collinear Lagrange Points<a class="headerlink" href="#collinear-lagrange-poi
</style>

<div class="animation">
<img id="_anim_imgcc1e1fd4acfc433fbae47cbe1700fbe5">
<img id="_anim_imgbabe26fa66564c6f95d5ecce84b5edcc">
<div class="anim-controls">
<input id="_anim_slidercc1e1fd4acfc433fbae47cbe1700fbe5" type="range" class="anim-slider"
<input id="_anim_sliderbabe26fa66564c6f95d5ecce84b5edcc" type="range" class="anim-slider"
name="points" min="0" max="1" step="1" value="0"
oninput="animcc1e1fd4acfc433fbae47cbe1700fbe5.set_frame(parseInt(this.value));">
oninput="animbabe26fa66564c6f95d5ecce84b5edcc.set_frame(parseInt(this.value));">
<div class="anim-buttons">
<button title="Decrease speed" aria-label="Decrease speed" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.slower()">
<button title="Decrease speed" aria-label="Decrease speed" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.slower()">
<i class="fa fa-minus"></i></button>
<button title="First frame" aria-label="First frame" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.first_frame()">
<button title="First frame" aria-label="First frame" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.first_frame()">
<i class="fa fa-fast-backward"></i></button>
<button title="Previous frame" aria-label="Previous frame" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.previous_frame()">
<button title="Previous frame" aria-label="Previous frame" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.previous_frame()">
<i class="fa fa-step-backward"></i></button>
<button title="Play backwards" aria-label="Play backwards" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.reverse_animation()">
<button title="Play backwards" aria-label="Play backwards" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.reverse_animation()">
<i class="fa fa-play fa-flip-horizontal"></i></button>
<button title="Pause" aria-label="Pause" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.pause_animation()">
<button title="Pause" aria-label="Pause" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.pause_animation()">
<i class="fa fa-pause"></i></button>
<button title="Play" aria-label="Play" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.play_animation()">
<button title="Play" aria-label="Play" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.play_animation()">
<i class="fa fa-play"></i></button>
<button title="Next frame" aria-label="Next frame" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.next_frame()">
<button title="Next frame" aria-label="Next frame" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.next_frame()">
<i class="fa fa-step-forward"></i></button>
<button title="Last frame" aria-label="Last frame" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.last_frame()">
<button title="Last frame" aria-label="Last frame" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.last_frame()">
<i class="fa fa-fast-forward"></i></button>
<button title="Increase speed" aria-label="Increase speed" onclick="animcc1e1fd4acfc433fbae47cbe1700fbe5.faster()">
<button title="Increase speed" aria-label="Increase speed" onclick="animbabe26fa66564c6f95d5ecce84b5edcc.faster()">
<i class="fa fa-plus"></i></button>
</div>
<form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_selectcc1e1fd4acfc433fbae47cbe1700fbe5"
<form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_selectbabe26fa66564c6f95d5ecce84b5edcc"
class="anim-state">
<input type="radio" name="state" value="once" id="_anim_radio1_cc1e1fd4acfc433fbae47cbe1700fbe5"
<input type="radio" name="state" value="once" id="_anim_radio1_babe26fa66564c6f95d5ecce84b5edcc"
>
<label for="_anim_radio1_cc1e1fd4acfc433fbae47cbe1700fbe5">Once</label>
<input type="radio" name="state" value="loop" id="_anim_radio2_cc1e1fd4acfc433fbae47cbe1700fbe5"
<label for="_anim_radio1_babe26fa66564c6f95d5ecce84b5edcc">Once</label>
<input type="radio" name="state" value="loop" id="_anim_radio2_babe26fa66564c6f95d5ecce84b5edcc"
checked>
<label for="_anim_radio2_cc1e1fd4acfc433fbae47cbe1700fbe5">Loop</label>
<input type="radio" name="state" value="reflect" id="_anim_radio3_cc1e1fd4acfc433fbae47cbe1700fbe5"
<label for="_anim_radio2_babe26fa66564c6f95d5ecce84b5edcc">Loop</label>
<input type="radio" name="state" value="reflect" id="_anim_radio3_babe26fa66564c6f95d5ecce84b5edcc"
>
<label for="_anim_radio3_cc1e1fd4acfc433fbae47cbe1700fbe5">Reflect</label>
<label for="_anim_radio3_babe26fa66564c6f95d5ecce84b5edcc">Reflect</label>
</form>
</div>
</div>
Expand All @@ -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_imgcc1e1fd4acfc433fbae47cbe1700fbe5";
var slider_id = "_anim_slidercc1e1fd4acfc433fbae47cbe1700fbe5";
var loop_select_id = "_anim_loop_selectcc1e1fd4acfc433fbae47cbe1700fbe5";
var img_id = "_anim_imgbabe26fa66564c6f95d5ecce84b5edcc";
var slider_id = "_anim_sliderbabe26fa66564c6f95d5ecce84b5edcc";
var loop_select_id = "_anim_loop_selectbabe26fa66564c6f95d5ecce84b5edcc";
var frames = new Array(100);

frames[0] = "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAOECAYAAACxbcj6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\
Expand Down Expand Up @@ -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() {
animcc1e1fd4acfc433fbae47cbe1700fbe5 = new Animation(frames, img_id, slider_id, 200.0,
animbabe26fa66564c6f95d5ecce84b5edcc = new Animation(frames, img_id, slider_id, 200.0,
loop_select_id);
}, 0);
})()
Expand Down
46 changes: 23 additions & 23 deletions the-orbit-equation/hyperbolic-trajectories.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -698,42 +698,42 @@ <h1>Hyperbolic Trajectories (<span class="math notranslate nohighlight">\(e &gt;
</style>

<div class="animation">
<img id="_anim_img69c3ab4671284945808521bfe765810d">
<img id="_anim_img601a81fce8234bf4a7ddff6d6db346d7">
<div class="anim-controls">
<input id="_anim_slider69c3ab4671284945808521bfe765810d" type="range" class="anim-slider"
<input id="_anim_slider601a81fce8234bf4a7ddff6d6db346d7" type="range" class="anim-slider"
name="points" min="0" max="1" step="1" value="0"
oninput="anim69c3ab4671284945808521bfe765810d.set_frame(parseInt(this.value));">
oninput="anim601a81fce8234bf4a7ddff6d6db346d7.set_frame(parseInt(this.value));">
<div class="anim-buttons">
<button title="Decrease speed" aria-label="Decrease speed" onclick="anim69c3ab4671284945808521bfe765810d.slower()">
<button title="Decrease speed" aria-label="Decrease speed" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.slower()">
<i class="fa fa-minus"></i></button>
<button title="First frame" aria-label="First frame" onclick="anim69c3ab4671284945808521bfe765810d.first_frame()">
<button title="First frame" aria-label="First frame" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.first_frame()">
<i class="fa fa-fast-backward"></i></button>
<button title="Previous frame" aria-label="Previous frame" onclick="anim69c3ab4671284945808521bfe765810d.previous_frame()">
<button title="Previous frame" aria-label="Previous frame" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.previous_frame()">
<i class="fa fa-step-backward"></i></button>
<button title="Play backwards" aria-label="Play backwards" onclick="anim69c3ab4671284945808521bfe765810d.reverse_animation()">
<button title="Play backwards" aria-label="Play backwards" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.reverse_animation()">
<i class="fa fa-play fa-flip-horizontal"></i></button>
<button title="Pause" aria-label="Pause" onclick="anim69c3ab4671284945808521bfe765810d.pause_animation()">
<button title="Pause" aria-label="Pause" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.pause_animation()">
<i class="fa fa-pause"></i></button>
<button title="Play" aria-label="Play" onclick="anim69c3ab4671284945808521bfe765810d.play_animation()">
<button title="Play" aria-label="Play" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.play_animation()">
<i class="fa fa-play"></i></button>
<button title="Next frame" aria-label="Next frame" onclick="anim69c3ab4671284945808521bfe765810d.next_frame()">
<button title="Next frame" aria-label="Next frame" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.next_frame()">
<i class="fa fa-step-forward"></i></button>
<button title="Last frame" aria-label="Last frame" onclick="anim69c3ab4671284945808521bfe765810d.last_frame()">
<button title="Last frame" aria-label="Last frame" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.last_frame()">
<i class="fa fa-fast-forward"></i></button>
<button title="Increase speed" aria-label="Increase speed" onclick="anim69c3ab4671284945808521bfe765810d.faster()">
<button title="Increase speed" aria-label="Increase speed" onclick="anim601a81fce8234bf4a7ddff6d6db346d7.faster()">
<i class="fa fa-plus"></i></button>
</div>
<form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_select69c3ab4671284945808521bfe765810d"
<form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_select601a81fce8234bf4a7ddff6d6db346d7"
class="anim-state">
<input type="radio" name="state" value="once" id="_anim_radio1_69c3ab4671284945808521bfe765810d"
<input type="radio" name="state" value="once" id="_anim_radio1_601a81fce8234bf4a7ddff6d6db346d7"
>
<label for="_anim_radio1_69c3ab4671284945808521bfe765810d">Once</label>
<input type="radio" name="state" value="loop" id="_anim_radio2_69c3ab4671284945808521bfe765810d"
<label for="_anim_radio1_601a81fce8234bf4a7ddff6d6db346d7">Once</label>
<input type="radio" name="state" value="loop" id="_anim_radio2_601a81fce8234bf4a7ddff6d6db346d7"
checked>
<label for="_anim_radio2_69c3ab4671284945808521bfe765810d">Loop</label>
<input type="radio" name="state" value="reflect" id="_anim_radio3_69c3ab4671284945808521bfe765810d"
<label for="_anim_radio2_601a81fce8234bf4a7ddff6d6db346d7">Loop</label>
<input type="radio" name="state" value="reflect" id="_anim_radio3_601a81fce8234bf4a7ddff6d6db346d7"
>
<label for="_anim_radio3_69c3ab4671284945808521bfe765810d">Reflect</label>
<label for="_anim_radio3_601a81fce8234bf4a7ddff6d6db346d7">Reflect</label>
</form>
</div>
</div>
Expand All @@ -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_img69c3ab4671284945808521bfe765810d";
var slider_id = "_anim_slider69c3ab4671284945808521bfe765810d";
var loop_select_id = "_anim_loop_select69c3ab4671284945808521bfe765810d";
var img_id = "_anim_img601a81fce8234bf4a7ddff6d6db346d7";
var slider_id = "_anim_slider601a81fce8234bf4a7ddff6d6db346d7";
var loop_select_id = "_anim_loop_select601a81fce8234bf4a7ddff6d6db346d7";
var frames = new Array(200);

frames[0] = "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAOECAYAAACxbcj6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\
Expand Down Expand Up @@ -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() {
anim69c3ab4671284945808521bfe765810d = new Animation(frames, img_id, slider_id, 200.0,
anim601a81fce8234bf4a7ddff6d6db346d7 = new Animation(frames, img_id, slider_id, 200.0,
loop_select_id);
}, 0);
})()
Expand Down
Loading

0 comments on commit 2363932

Please sign in to comment.