At this location the distribution of electrons by energy range looks like this:
0.1 - 0.5 MeV = 82.8%
0.5 - 1 MeV = 11.9%
1 - 2 MeV = 4.7%
2 - 3 MeV = 0.5%
3 - 4 MeV = 0.1%
4+ MeV = <0.01%
Dividing the integral energy flux by the integral particle flux gives the real average energy. If we do this for all electrons >=0.1 MeV along the path of Apollo 11, we get an average of about 0.3 MeV. This low average is because the belts are dominated by low energy particles.
Hopefully this will highlight to Jarrah why his method is incorrect, and simply taking an average is hopelessly wrong.
Jarrah now has a problem in as much as he's relatively close to putting numbers into his model and arriving at a figure that will show him that the Apollo astronauts could indeed traverse the belts. In his usual pigheaded manner he's found some juicy looking data to make his point, but the data contains a typographic error. Had he cross referenced the literature to make sure the figures were correct, something any good scientist would do as matter of course, he would not be in this pickle.
I saw the MAARBLE website a long time ago, and immediately dismissed the numbers as wrong. I knew they were in error as electrons at 100 MeV have some very interesting properties indeed. Electrons at such energies have de Broglie wavelengths that are on the par with the diameter of atomic nuclei. If Jarrah had any understanding of physics he would immediately know that electron energies of such magnitude would be a ridiculous in context of the VABs.
The higher energy electrons in the VABs are accelerated by a mechanism known as whistler mode chorus waves. A large proportion of the research that I have read cites accelerations up to a few MeV, not the 100 MeV Jarrah claims. If he knew his material and had expertise in the VABs he would have known this too. Here is an
article on the phenomenon.
Interestingly the term 1 million volts is used, as with the MAARBLE website where volts were interchanged for MeV. It appears that this interchange of terms is used elsewhere. In the article I have linked 1 MeV is included in the parentheses.
In any case, Jarrah is now actually close to proving wrong the very thing he has believed for 10 years. This makes this latest fiasco even funnier than his usual offerings.
ETA: This article is well worth a read, and discusses how electrons are accelerated to higher energy.
http://www.fis.unical.it/files/fl161/9550journalclub.pdf