Greece Took Their Astronomy
Today, more people than any other historical empire associate Greek astronomy. The oldest astronomers we can identify are people like Pythagorus, and all the constellations we are aware of have Greek names. As it turns out, the First Dynasty made significant advancements in astronomy at the same time they cursed future generations of students with trigonometry and algebra, such as the recording of the Transit of Venus under King Ammisaqda (1646-1626 BC).
Alexander the Great's conquest of Babylon would result in the rapid dissemination of astronomical knowledge across the Greek Empire, with Babylon clearly serving as the catalyst. To be fair to the Greeks, they didn't simply replicate the homework of the Babylonians at the time. Geographers like Strabo of Amasia would pay in-depth homage to the astronomical (in all senses of the word) achievements of the Babylonians centuries after Alexander's conquest. To give them their due, it wouldn't hurt to give a few constellations Babylonian names.