jwposter:
in -511 April 23rd would be 20 days into the lunar cycle.
If we grant the most latitude possible to this nonsense and pretend the time of the solstice doesn't matter and jump back to the start of the lunar cycle, the observations still do not match for 512 BCE.
Only bothered considering Obverse I but it is sufficient to make the point. The moon is a poor match in 512 BCE for the observations in VAT4956, but more significantly, the planetary observations are a complete failure. Line 2 - Saturn was behind Capricorn, not Pisces. Line 4 - Jupiter wasn't achronycal. Line 9 - Saturn would be described as in front of Aquarius or behind Capricorn, not behind Pisces. Line 10 - Mars was nowhere near Praesepe. Line 11 - Venus would be described as being in Cancer rather than below Leo. Line 13 - Jupiter in Leo, not Scorpio.
As an example of how the planetary observations are more important than lunar observations, Mars was only ever in Praesepe (M 44) during a few days in August
in 512 BCE, which cannot in any way be contorted to 'Month II'. (And it's even worse for 588 BCE, during which Mars was never in Praesepe.) But it is a perfect match for 568 BCE, when Mars was in Praesepe during the period 24-27 May.