I am doing a very extensive document, it is a work in progress, that details how to know, just using a list of eclipses in the 6th and 7th century BCE, Excel, and knowing how to read lunar eclipse graphs and maps, that Jerusalem fell in 587 B.C.E., and not 607 B.C.E. as the Watchtower states.
Currently it is in Spanish, but I intend to translate it to English later.
For those who speak Spanish, here it is:
https://sites.google.com/site/laverdadtj2/los-eclipses-lunares-y-la-watchtower