Jeffro
he... 15th... is 6 days after the... 9th.
The... solstice.. on the... 9th... is necessarily... within a day of 29 June.
6... days... after... 29 June... is... 5 July.
It is physically impossible for the eclipse in question to occur on 15 July.
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What a fascinating conundrum you have posited for now we have a lunar eclipse dated 15 July 588 BC and the solstice on the 9th of the 3rd month which is believed to be on 29th June 588 BC? The said scholar needs some serious scholarly assistance to resolve this matter methinks something is rotten here but the said scholar will investigate this matter further and find the source of the 'smell'.
scholar JW