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    <p>Upon further reflection of <u><i><b>all</b></i></u> factors
      affecting L2, the following points should also be considered, and
      my "piece of cake" comment in my earlier note should be ignored
      (invalid):</p>
    <p>1) The Earth's Umbra extends about 0.87-million miles. At the
      0.93-million mi distance of L2, the Web Telescope (Web) will never
      be totally in the dark Umbra. So, as Larry pointed out, the Web
      will always see a sliver of the sun. However, the size of the
      sliver will vary due to the following.<br>
    </p>
    <p>2) Most of the citations in the web refer to L2 as a "point". It
      is a point in the cosmic sense but a rather "large region" because
      of the following reasons:</p>
    <ul>
      <li>The Earth's orbit around the sun is elliptical, not circular.
        Therefore, the L2-location fluctuates annually along the
        "radial" direction (Sun-Earth line)<br>
      </li>
      <li>The L2 location is defined in the context of a 3-body system
        (Sun-Earth-Web). However, the moon (4th body) causes L2 to
        fluctuate monthly both "radially" and "perpendicularly" with
        respect to the Sun-Earth line</li>
      <li>Thus, the "perturbed L2" (at gravitational equilibrium with
        respect to Sun-Earth-Moon) will move annually within an ovoid
        volume around the ideal 3-body L2</li>
      <li>Therefore, the Web Telescope will experience a variable
        exposure to Solar radiation annually <br>
      </li>
    </ul>
    <p>Tony<br>
    </p>
    ================<br>
    <div class="moz-cite-prefix">On 12/28/21 8:42 PM, Tony wrote:<br>
    </div>
    <blockquote type="cite"
      cite="mid:2c2eb7e2-d667-bd19-073b-9d29fd8284bf@verizon.net">
      <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
      <p>Supplement to address Carl's question: <br>
      </p>
      <p>Remember that the earth totally eclipses the moon (when
        suitably aligned), which is about 1/4 million miles away and has
        a ~2000-mi diameter (3,468 KM). So, at 1 million miles distance
        (4 times the Earth-Moon distance) the earth could eclipse an
        object that has a 500 miles diameter. SO, the telescope will
        truly be a piece of cake in that shadow.</p>
      <p>Tony</p>
      <p>=======<br>
      </p>
      <div class="moz-cite-prefix">On 12/28/21 6:16 PM, George Gamota
        wrote:<br>
      </div>
      <blockquote type="cite"
        cite="mid:035f01d7fc40$e9e0cf90$bda26eb0$@stma-llc.com">
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          <p class="MsoNormal"><span
              style="font-size:18.0pt;color:#1F497D">The location of the
              Webb is such that only some square feet need to be
              blocking the sun. Some geometry here helps.<o:p></o:p></span></p>
          <p class="MsoNormal"><span
              style="font-size:18.0pt;color:#1F497D"><o:p> </o:p></span></p>
          <div>
            <div style="border:none;border-top:solid #E1E1E1
              1.0pt;padding:3.0pt 0in 0in 0in">
              <p class="MsoNormal"><b>From:</b> Carl Lazarus <a
                  class="moz-txt-link-rfc2396E"
                  href="mailto:carllazarus@comcast.net"
                  moz-do-not-send="true"><carllazarus@comcast.net></a>
                <br>
                <b>Sent:</b> Tuesday, December 28, 2021 5:14 PM<br>
                <b>To:</b> 'George Gamota' <a
                  class="moz-txt-link-rfc2396E"
                  href="mailto:ggamota@stma-llc.com"
                  moz-do-not-send="true"><ggamota@stma-llc.com></a>;
                'Stephen Quatrano' <a class="moz-txt-link-rfc2396E"
                  href="mailto:stefanoq@gmail.com"
                  moz-do-not-send="true"><stefanoq@gmail.com></a>;
                <a class="moz-txt-link-abbreviated
                  moz-txt-link-freetext"
                  href="mailto:jjrudy1@comcast.net"
                  moz-do-not-send="true">jjrudy1@comcast.net</a><br>
                <b>Cc:</b> 'Lex Computer Group' <a
                  class="moz-txt-link-rfc2396E"
                  href="mailto:lctg@lists.toku.us"
                  moz-do-not-send="true"><lctg@lists.toku.us></a><br>
                <b>Subject:</b> RE: [Lex Computer & Tech Group/LCTG]
                where is Webb<o:p></o:p></p>
            </div>
          </div>
          <p class="MsoNormal"><o:p> </o:p></p>
          <p class="MsoNormal">Is Earth’s shadow large enough to
            completely block the sun from the James Webb telescope?  I
            thought the telescope has an elaborate sun shield.<o:p></o:p></p>
          <p class="MsoNormal">-- Carl<o:p></o:p></p>
          <p class="MsoNormal"><o:p> </o:p></p>
          <div>
            <div style="border:none;border-top:solid #E1E1E1
              1.0pt;padding:3.0pt 0in 0in 0in">
              <p class="MsoNormal"><b>From:</b> LCTG <<a
                  href="mailto:lctg-bounces+carllazarus=comcast.net@lists.toku.us"
                  moz-do-not-send="true" class="moz-txt-link-freetext">lctg-bounces+carllazarus=comcast.net@lists.toku.us</a>>
                <b>On Behalf Of </b>George Gamota<br>
                <b>Sent:</b> Tuesday, December 28, 2021 3:41 PM<br>
                <b>To:</b> 'Stephen Quatrano' <<a
                  href="mailto:stefanoq@gmail.com"
                  moz-do-not-send="true" class="moz-txt-link-freetext">stefanoq@gmail.com</a>>;
                <a href="mailto:jjrudy1@comcast.net"
                  moz-do-not-send="true" class="moz-txt-link-freetext">jjrudy1@comcast.net</a><br>
                <b>Cc:</b> 'Lex Computer Group' <<a
                  href="mailto:lctg@lists.toku.us"
                  moz-do-not-send="true" class="moz-txt-link-freetext">lctg@lists.toku.us</a>><br>
                <b>Subject:</b> Re: [Lex Computer & Tech Group/LCTG]
                where is Webb<o:p></o:p></p>
            </div>
          </div>
          <p class="MsoNormal"><o:p> </o:p></p>
          <p class="MsoNormal"><span
              style="font-size:18.0pt;color:#1F497D">Basically the Webb
              would be fried (electronics burned) if it ever sees the
              sun. So L2 places it in such a way that the Earth blocks
              the sun (an eclipse) all the time. Thus the Webb goes
              around the sun with Earth. Webb’s orbit then is one year
              just as the Earth.<o:p></o:p></span></p>
          <p class="MsoNormal"><span
              style="font-size:18.0pt;color:#1F497D">George.<o:p></o:p></span></p>
          <p class="MsoNormal"><span
              style="font-size:18.0pt;color:#1F497D"><o:p> </o:p></span></p>
          <div>
            <div style="border:none;border-top:solid #E1E1E1
              1.0pt;padding:3.0pt 0in 0in 0in">
              <p class="MsoNormal"><b>From:</b> LCTG <<a
                  href="mailto:lctg-bounces+ggamota=stma-llc.com@lists.toku.us"
                  moz-do-not-send="true" class="moz-txt-link-freetext">lctg-bounces+ggamota=stma-llc.com@lists.toku.us</a>>
                <b>On Behalf Of </b>Stephen Quatrano<br>
                <b>Sent:</b> Tuesday, December 28, 2021 1:08 PM<br>
                <b>To:</b> <a href="mailto:jjrudy1@comcast.net"
                  moz-do-not-send="true" class="moz-txt-link-freetext">jjrudy1@comcast.net</a><br>
                <b>Cc:</b> Lex Computer Group <<a
                  href="mailto:lctg@lists.toku.us"
                  moz-do-not-send="true" class="moz-txt-link-freetext">lctg@lists.toku.us</a>><br>
                <b>Subject:</b> Re: [Lex Computer & Tech Group/LCTG]
                where is Webb<o:p></o:p></p>
            </div>
          </div>
          <p class="MsoNormal"><o:p> </o:p></p>
          <p class="MsoNormal">Great graphics, John.  I didn’t
            understand L2 orbit so I Googled it:<o:p></o:p></p>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <p class="MsoNormal">"The space telescope is destined to
              orbit a point in space known as Earth-sun Lagrange point 2
              or L2, which is located nearly 1 million miles (1.5
              million kilometers) away from Earth on the opposite side
              as the sun. The spacecraft covered the first 10% of that
              journey within 12 hours of launching.”  <a
                href="https://www.space.com/james-webb-space-telescope-trajectory-burn"
                moz-do-not-send="true" class="moz-txt-link-freetext">https://www.space.com/james-webb-space-telescope-trajectory-burn</a><o:p></o:p></p>
          </div>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <p class="MsoNormal">"The James Webb Space Telescope will
              not orbit the Earth like Hubble but will in fact orbit the
              Sun. It will travel for approximately 30 days before
              reaching what is known as the second Lagrange point, or
              L2, 1 million miles away.” <a
                href="https://deepfieldfilm.com/discover/james-webbs-halo-orbit"
                moz-do-not-send="true" class="moz-txt-link-freetext">https://deepfieldfilm.com/discover/james-webbs-halo-orbit</a><o:p></o:p></p>
          </div>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <p class="MsoNormal">Looking at the second animation, I’m
              still not sure I understand it… but I keep trying.<o:p></o:p></p>
          </div>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <p class="MsoNormal">Regards,<o:p></o:p></p>
          </div>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <div>
              <div>
                <div>
                  <p class="MsoNormal"><span
style="font-size:9.0pt;font-family:"Helvetica",sans-serif;color:black">Stephen
                      Quatrano<br>
                      CEO and Cofounder | Meema, Inc<br>
                      web: <a href="http://meemastories.com"
                        moz-do-not-send="true"
                        class="moz-txt-link-freetext">http://meemastories.com</a><br>
                      <a href="mailto:stephen.quatrano@meemastories.com"
                        moz-do-not-send="true">email: stephen.quatrano@meemastories.com</a><br>
                      cell: +1 781-266-8799<br>
                      <a href="https://www.linkedin.com/in/quatrano/"
                        moz-do-not-send="true"
                        class="moz-txt-link-freetext">https://www.linkedin.com/in/quatrano/</a><br>
                      <br>
                      Board Member | The Right Question Institute<br>
                      <a href="http://www.rightquestion.org"
                        moz-do-not-send="true"
                        class="moz-txt-link-freetext">http://www.rightquestion.org</a><br>
                      <br>
                      Lifelong Learner<br>
                      <a href="http://www.howdoweknow.info/p/home.html"
                        moz-do-not-send="true"
                        class="moz-txt-link-freetext">http://www.howdoweknow.info/p/home.html</a><br>
                      <a href="http://stefano.quatrano.us/"
                        moz-do-not-send="true"
                        class="moz-txt-link-freetext">http://stefano.quatrano.us/</a><o:p></o:p></span></p>
                </div>
              </div>
            </div>
            <div>
              <p class="MsoNormal" style="margin-bottom:12.0pt"><o:p> </o:p></p>
              <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
                <div>
                  <p class="MsoNormal">On Dec 28, 2021, at 12:35 PM,
                    <<a href="mailto:jjrudy1@comcast.net"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">jjrudy1@comcast.net</a>>
                    <<a href="mailto:jjrudy1@comcast.net"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">jjrudy1@comcast.net</a>>
                    wrote:<o:p></o:p></p>
                </div>
                <p class="MsoNormal"><o:p> </o:p></p>
                <div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:12.0pt;font-family:"Arial",sans-serif">This
                        is a nice NASA site that shows its location in
                        realtime<span class="apple-converted-space"> </span><a
href="https://www.jwst.nasa.gov/content/webbLaunch/whereIsWebb.html"
                          moz-do-not-send="true"><span
                            style="color:#0563C1">https://www.jwst.nasa.gov/content/webbLaunch/whereIsWebb.html</span></a></span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:12.0pt;font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif">John
                        Rudy</span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif">781-861-0402</span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif">781-718-8334 
                        cell</span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif">13
                        Hawthorne Lane</span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif">Bedford
                        MA</span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><span
                        style="font-size:10.0pt;font-family:"Arial",sans-serif"><a
                          href="mailto:jjrudy1@comcast.net"
                          moz-do-not-send="true"><span
                            style="color:#0563C1">jjrudy1@comcast.net</span></a></span><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"><image001.png><o:p></o:p></p>
                  </div>
                  <div>
                    <p class="MsoNormal"> <o:p></o:p></p>
                  </div>
                  <p class="MsoNormal"><span
                      style="font-size:9.0pt;font-family:"Helvetica",sans-serif">===============================================<br>
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