<html>
  <head>
    <meta content="text/html; charset=windows-1252"
      http-equiv="Content-Type">
  </head>
  <body text="#000000" bgcolor="#FFFFFF">
    <div class="moz-cite-prefix">The example of how to do multiple
      windows was in my ancient tank game code on github<br>
      <br>
      <a class="moz-txt-link-freetext" href="https://github.com/drlbs/trajectory">https://github.com/drlbs/trajectory</a><br>
      <br>
      As far has how to plot the phase space diagram, just crate a 2D
      projection and convert theta and the derivative of theta into x-y
      coordinates using the standard equations (somthing like x=r
      cos(theta) , y = r sin(theta))<br>
       <br>
      <br>
      On 04/28/2017 04:58 PM, Jonathan Perrin Alfred wrote:<br>
    </div>
    <blockquote
      cite="mid:0d4c4f5b8bc14128b838c6ecedffa5de@spiderman.MercerU.local"
      type="cite">
      <meta http-equiv="Content-Type" content="text/html;
        charset=windows-1252">
      <style type="text/css" style="display:none;"><!-- P {margin-top:0;margin-bottom:0;} --></style>
      <div id="divtagdefaultwrapper"
style="font-size:12pt;color:#000000;font-family:Calibri,Arial,Helvetica,sans-serif;"
        dir="ltr">
        <p>I remember we used something in class to show this, but I
          can't remember what it was. Did you have it on your github
          account?</p>
        <p><br>
        </p>
        <p>Jonathan Alfred</p>
      </div>
      <hr style="display:inline-block;width:98%" tabindex="-1">
      <div id="divRplyFwdMsg" dir="ltr"><font style="font-size:11pt"
          face="Calibri, sans-serif" color="#000000"><b>From:</b> Andrew
          J. Pounds <a class="moz-txt-link-rfc2396E" href="mailto:pounds_aj@mercer.edu">&lt;pounds_aj@mercer.edu&gt;</a><br>
          <b>Sent:</b> Friday, April 28, 2017 3:44:36 PM<br>
          <b>To:</b> Jonathan Perrin Alfred<br>
          <b>Subject:</b> Re: CSC 415: Pendulum Project</font>
        <div> </div>
      </div>
      <div>
        <div class="moz-cite-prefix">So as your pendulum "runs" the
          phase space window traces out the plot of the derivative of
          theta (y axis) vs. the value of theta (x-axis).  If you did
          not have damping this would just result in a circle being
          drawn.  If you have damping you will see it spiral in.   If
          you actually include the wierd little "kick" in the pendulum
          equation, you get chaos!<br>
          <br>
          <br>
          On 04/28/2017 01:10 PM, Jonathan Perrin Alfred wrote:<br>
        </div>
        <blockquote
          cite="mid:f6a93d713bb048bdb01090eb0cc668bc@spiderman.MercerU.local"
          type="cite">
          <style type="text/css" style="display:none;"><!-- P {margin-top:0;margin-bottom:0;} --></style>
          <div id="divtagdefaultwrapper"
style="font-size:12pt;color:#000000;font-family:Calibri,Arial,Helvetica,sans-serif;"
            dir="ltr">
            <p>I also forgot to ask yesterday, but what was the phase
              space window supposed to do?</p>
            <p><br>
            </p>
            <p>Jonathan Alfred<br>
            </p>
          </div>
          <hr style="display:inline-block;width:98%" tabindex="-1">
          <div id="divRplyFwdMsg" dir="ltr"><font style="font-size:11pt"
              face="Calibri, sans-serif" color="#000000"><b>From:</b>
              Andrew J. Pounds
              <a moz-do-not-send="true" class="moz-txt-link-rfc2396E"
                href="mailto:pounds_aj@mercer.edu">&lt;pounds_aj@mercer.edu&gt;</a><br>
              <b>Sent:</b> Thursday, April 27, 2017 7:33:52 AM<br>
              <b>To:</b> <a moz-do-not-send="true"
                class="moz-txt-link-abbreviated"
                href="mailto:csc415@theochem.mercer.edu">
                csc415@theochem.mercer.edu</a><br>
              <b>Cc:</b> Jonathan Perrin Alfred<br>
              <b>Subject:</b> Re: CSC 415: Pendulum Project</font>
            <div> </div>
          </div>
          <div>
            <div class="moz-cite-prefix">On 04/26/2017 09:41 PM,
              Jonathan Perrin Alfred wrote:<br>
            </div>
            <blockquote
              cite="mid:828be77376eb42789eedbc910bc7ffd8@spiderman.MercerU.local"
              type="cite">
              <style type="text/css" style="display:none;"><!-- P {margin-top:0;margin-bottom:0;} --></style>
              <div id="divtagdefaultwrapper"
style="font-size:12pt;color:#000000;font-family:Calibri,Arial,Helvetica,sans-serif;"
                dir="ltr">
                <p>Dr. Pounds,</p>
                <p><br>
                </p>
                <p>Was the final pendulum project due at the end of the
                  week next week or on Tuesday? I know that the tank has
                  to be finished by then, but I just wanted to make
                  sure.</p>
                <p><br>
                </p>
                <p>Jonathan Alfred<br>
                </p>
              </div>
            </blockquote>
            <br>
            All commits to the "Game of Drones" are due at the beginning
            of the final exam period on Tuesday (prior to the
            presentation).<br>
            <br>
            IF you are a <b>GRADUATING SENIOR</b> then the final
            pendulum project is due at midnight on
            <b>Tuesday of Finals week</b> as I am required to turn your
            grades around faster to the Registrar.  All others have
            until midnight on the Friday of Finals week to get the final
            commits on the pendulum submitted.  On the pendulum project,
            I will be grading the final commit/merge to the master
            branch that occurred before midnight on the respective days.<br>
             <br>
            <br>
            <p><br>
            </p>
            <pre class="moz-signature" cols="72">-- 
Andrew J. Pounds, Ph.D.  (<a moz-do-not-send="true" class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
<a moz-do-not-send="true" class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
</pre>
          </div>
        </blockquote>
        <br>
        <p><br>
        </p>
        <pre class="moz-signature" cols="72">-- 
Andrew J. Pounds, Ph.D.  (<a moz-do-not-send="true" class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
<a moz-do-not-send="true" class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
</pre>
      </div>
    </blockquote>
    <br>
    <p><br>
    </p>
    <pre class="moz-signature" cols="72">-- 
Andrew J. Pounds, Ph.D.  (<a class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
<a class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
</pre>
  </body>
</html>