bahamagreen said:
I know an attorney who works overseas. He was trained in the idea that a solid logical argument should prevail. What he found was that there are places where the winner of an argument is the one who keeps talking, says the most words, and has the last word.
That reminds me of this joke about what a lawyer is to do:
If the law is on your side, pound on the law.
If the facts are on your side, pound on the facts.
If neither is on your side, pound on the table.
So bahamagreen's friend may have expected to win by pounding on the facts and the law, while in those places, one wins by pounding on the table.
Back to Galileo and what he might have argued. I think that he had laid out many of the arguments that he could, both scientific and theological. Yes, theological. Some of his opponents charged that heliocentrism was contrary to the Bible, noting geocentrist parts of the Bible. The best-known of these is where Joshua told the Sun and the Moon to stop moving and not the Earth when he wanted to win one of his battles (Joshua 10:12-13).
Galileo's response was to argue Biblical geocentrism away as allegorical or metaphorical or phenomenological, as far as I can tell. He argued that the Holy Spirit tells us how to go to heaven, not how the heavens go. Arguing away embarrassments as allegorical was already an old practice by then. Theologians who believed in an abstract sort of God had argued away the theological anthropomorphisms in the Bible, and I'm sure that Biblical flat-earthism was also argued away.
Even some pagans did allegorical interpretation. From
Plutarch • Isis and Osiris (Part*1 of 5):
Therefore, Clea, whenever you hear the traditional tales which the Egyptians tell about the gods, their wanderings, dismemberments, and many experiences of this sort, you must remember what has been already said, and you must not think that any of these tales actually happened in the manner in which they are related.
The authors of the Bible had little interest in cosmology, so one has to infer their beliefs from off-hand remarks here and there. But 1 Enoch, a Hellenistic-era book that did not make the canonical cut, goes into much more detail, and it clarifies the cosmology in the Bible (http://www.lhup.edu/~dsimanek/febible.htm). The Earth is flat, and the sky an inverted bowl over it. The celestial bodies move on its surface, and travel along the rim of the bowl from the setting places to their rising places. There is a jail for celestial bodies that dawdle.