[Physics] Physics Digest, Vol 7, Issue 9

[cj at mb-soft.com]

You appear to believe that you are the best mathematician on earth.  But you might check
http://britastro.org/computing/handbooks_jecl2015.html

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.

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.

Those COMPLETE eclipses were from "first contact" to "last contact", where the actual interval of totality was less than ONE MINUTE in each case.  

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.

On Aug. 28, 2009 and on Sep 12, 2009, the Yunnan telescope in China  witnessed two events of  Io and Europa.

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.

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.  

By the way, there are a variety of WRONG time listings presented, but virtually everyone KNOWS that Meeus IS the world's greatest authority.  

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.  

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.

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.

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.

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.

I am rather disgusted that you consider ME to be ignorant.

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.  

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.

Carl Johnson
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