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<DIV><FONT size=2 face=Arial>You appear to believe that you are the best
mathematician on earth. But you might check</FONT></DIV>
<DIV><FONT size=2 face=Arial><A
href="http://britastro.org/computing/handbooks_jecl2015.html">http://britastro.org/computing/handbooks_jecl2015.html</A></FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>where my associate Jan Meeus supplied the math
data. During the late 2014- early 2015 interval, he listed several dozen
PARTIAL events, where only three of them were essentially total. Ganymede
eclipsed Io on Feb 24, which resulted in 97% light reduction, and a few weeks
later, Ganymede eclipsed Europa on March 9 to 98% light reduction.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>He calculated many PARTIAL Io-Europa events, where
four of them were Annular or essentially total. (April 1, April 3, March
30). All those Io-Europa events showed a COMPLETE time of 3m12 s, 3m2s,
3m6s.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>Those COMPLETE eclipses were from "first contact"
to "last contact", where the actual interval of totality was less than ONE
MINUTE in each case. </FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>The Ganymede-Europa eclipse on March 9 "surprised"
the only astronomer who saw it. The Gemini telescope witnessed a partial
eclipse on Dec 16, 2014, and those astronomerss were ALSO SURPRISED by
it.</FONT></DIV>
<DIV> </DIV>
<DIV><FONT size=2 face=Arial>On Aug. 28, 2009 and on Sep 12, 2009, the
Yunnan telescope in China </FONT> <FONT size=2 face=Arial>witnessed two
events of Io and Europa.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>A video WAS created regarding an Io-Europa mutual
eclipse, where the video is presented on the internet at 16x actual speed.
It shows about 12 seconds of video from first contact to end (meaning
about three minutes of actual time. That ACTUAL video shows around three
seconds of maximum fade, which indicates around 48 actual seconds of
totality.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>Of course, YOU are far more brilliant than Jan
Meeus or me or anyone else, and "in your head" you know that totality lasted 900
seconds. </FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>By the way, there are a variety of WRONG time
listings presented, but virtually everyone KNOWS that Meeus IS the world's
greatest authority. </FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>Meeus and everyone else also are not smart enough
to know that "everywhere on Earth" the eclipses are all visible. Sort of
surprising then that ONLY the Chinese telescope witnessed the two Io-Europa
mutual eclipses in 2009, or that the very few astronomers who actuallyy
witnessed events during 2015 said that they were SURPRISED to see it.
</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>At least Sky and Telescope mentioned that the
cycles only occur every six years. (That included the events which I had
calculated for 1996, some others in 2002, and then in 2009, and then in
2015.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>Us FOOLS who actually USE integral and
diffeerential calculus and the millions of terms in the VSOP87 database,
obviously believe due to our ignorance that the next POSSIBLE mutual eclipses
will be in 2021. We are not capable of doing all the math "in our heads"
as you apparently can.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>The various web-pages that discuss these events
need to be educated by you. Where you KNOW that the entire Earth can
witness every one of those mutual eclipses, they explain (as I had also
calculated 25 years ago) that only a very few locations can likely witness
them on Earth (as China and Italy and England confirm, and which also confirmed
WHY I had known that only my friends in Southern California might have seen the
1996 eclipses which I had calculated. OBVIOUSLY, YOU are far smarter than
100,000 professional asteronomers and millions of amateurs who YOU know should
all have witnessed the dozen eclipses that I had calculated, predicted for 1996,
and for the events in 2002, 2009, and 2015.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>It must be wonderful to be that brilliant, where
you do not need to rely on advanced Calculus and where you can solve immensely
complicated math problems in your head.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>I am rather disgusted that you consider ME to be
ignorant.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>I might suggest that before you decide to try to
insult one of the world's dozen's premier experts on Gravitation or on calculus
and orbital mechanics, you actually LEARN some math. </FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>Or announce to me that my 18-digit precise accurate
value for Time Dilation at the Earth's Equator, you grasp WHY 18 digits are
sometimes important.</FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial>Carl Johnson</FONT></DIV>
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