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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal><span style='font-size:14.0pt;color:#993366'>Tony<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:14.0pt;color:#993366'>You are right if the planet is very far away from the stars but if close in, the orbit will never be the same and thus not stable in the sense the orbits will not repeat. <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:14.0pt;color:#993366'>George<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:18.0pt;color:#993366'><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><span style='color:windowtext'>From:</span></b><span style='color:windowtext'> Tony <galaitsis@verizon.net> <br><b>Sent:</b> Monday, October 4, 2021 12:29 PM<br><b>To:</b> George Gamota <ggamota@stma-llc.com>; 'Ken Pogran' <pogran@alum.mit.edu>; Tony Galaitsis <Galaitsis@verizon.net><br><b>Cc:</b> 'Lex Computer Group' <lctg@lists.toku.us><br><b>Subject:</b> Re: [Lex Computer & Tech Group/LCTG] Astronomers may have discovered first planet to orbit 3 stars<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><p>George,<o:p></o:p></p><p>Looking at the star system image on the left, I think I am looking at a "point source" surrounded by 1 ~circular ring and 2 ~elliptical rings, all 3 geometrically "centered" at the 3-star group (1 bright, 2 faint/invisible that did not ignite?). And, I am speculating that the point source comprises 1 live star and 2 invisible companions (that never ignited?) in stable orbit around each other (for a 3-body system).<o:p></o:p></p><p>In response to your question (re 4-body system), I think that if the planet is (and the rings are) "<b><i><u>enough far away</u></i></b>" from the 3-star group, then they sense essentially <b><i><u>a single circularly symmetrical gravitational well</u></i></b>, which would result in stable circular/elliptical planet orbit and dust rings.<o:p></o:p></p><p>I am saying circular/elliptical even though I think they are all circular (in far field), with the angular momentum vector of the inner ring pointing at a different direction than those of the planet (cleared path) and 2 outer rings that appear to be parallel to each other.<o:p></o:p></p><p>However, I am not an astrophysicist, so my speculation could be anywhere.<o:p></o:p></p><p>Cheers,<o:p></o:p></p><p>Tony<o:p></o:p></p><p><img width=664 height=341 style='width:6.9166in;height:3.5486in' id="Picture_x0020_1" src="cid:image002.png@01D7B94C.51F0AF20"><o:p></o:p></p><p>=========<o:p></o:p></p><p><o:p> </o:p></p><p>On 10/2/21 9:23 PM, George Gamota wrote:<o:p></o:p></p><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><p class=MsoNormal><span style='font-size:18.0pt;color:#1F497D'>Thanks ken – it worked</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:18.0pt;color:#1F497D'>A key question I have from classical mechanics, can this be a stable orbit?</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:18.0pt;color:#1F497D'>It is a 4 body system.</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:18.0pt;color:#1F497D'>George</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:18.0pt;color:#1F497D'> </span><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><span style='color:windowtext'>From:</span></b><span style='color:windowtext'> Ken Pogran <a href="mailto:pogran@alum.mit.edu"><pogran@alum.mit.edu></a> <br><b>Sent:</b> Saturday, October 2, 2021 1:08 PM<br><b>To:</b> George Gamota <a href="mailto:ggamota@stma-llc.com"><ggamota@stma-llc.com></a><br><b>Cc:</b> <a href="mailto:palbin24@yahoo.com">palbin24@yahoo.com</a>; 'Lex Computer Group' <a href="mailto:lctg@lists.toku.us"><lctg@lists.toku.us></a><br><b>Subject:</b> Re: [Lex Computer & Tech Group/LCTG] Astronomers may have discovered first planet to orbit 3 stars</span><o:p></o:p></p></div></div><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>It works if you change the .htm at the end of the URL to .html<br><br>Ken<br><br><br>George Gamota wrote on 10/2/21 12:56 PM:<br><br><br><o:p></o:p></p><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><pre>Peter<o:p></o:p></pre><pre>I get a 404 error<o:p></o:p></pre><pre>George <o:p></o:p></pre><pre> <o:p></o:p></pre><pre>-----Original Message-----<o:p></o:p></pre><pre>From: LCTG <a href="mailto:lctg-bounces+ggamota=stma-llc.com@lists.toku.us"><lctg-bounces+ggamota=stma-llc.com@lists.toku.us></a> On Behalf Of<o:p></o:p></pre><pre><a href="mailto:palbin24@yahoo.com">palbin24@yahoo.com</a><o:p></o:p></pre><pre>Sent: Saturday, October 2, 2021 11:33 AM<o:p></o:p></pre><pre>To: Lex Computer Group <a href="mailto:lctg@lists.toku.us"><lctg@lists.toku.us></a><o:p></o:p></pre><pre>Subject: [Lex Computer & Tech Group/LCTG] Astronomers may have discovered<o:p></o:p></pre><pre>first planet to orbit 3 stars<o:p></o:p></pre><pre> <o:p></o:p></pre><pre>Interesting article <o:p></o:p></pre><pre> <o:p></o:p></pre><pre><a href="https://phys.org/news/2021-10-astronomers-planet-orbit-stars.htm">https://phys.org/news/2021-10-astronomers-planet-orbit-stars.htm</a><o:p></o:p></pre><pre> <o:p></o:p></pre><pre>Peter Albin<o:p></o:p></pre></blockquote><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal><span style='color:windowtext'><br><br><o:p></o:p></span></p><pre>===============================================<o:p></o:p></pre><pre>::The Lexington Computer and Technology Group Mailing List::<o:p></o:p></pre><pre>Reply goes to sender only; 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