In 2008, scientists Marcelo O. Magnasco and Constantino Baikouzis at Rockefeller University used clues in the text and astronomical data to attempt to pinpoint the time of Odysseus's return from his journey after the Trojan War.
The first clue is Odysseus' sighting of Venus just before dawn as he arrives on Ithaca. The second is a new moon on the night before the massacre of the Suitors. The final clue is a total eclipse, falling over Ithaca around noon, when Penelope's Suitors sit down for their noon meal. The seer Theoclymenus approaches the Suitors and foretells their death, saying, "The Sun has been obliterated from the sky, and an unlucky darkness invades the world." The problem with this is that the 'eclipse' is only seen by Theoclymenus, and the Suitors toss him out, calling him mad. No one else sees the sky darken, and it is therefore not actually described as an eclipse within the story, merely a vision by Theoclymenus.
Doctors Baikouzis and Magnasco state that "[t]he odds that purely fictional references to these phenomena (so hard to satisfy simultaneously) would coincide by accident with the only eclipse of the century are minute." They conclude that these three astronomical references "'cohere', in the sense that the astronomical phenomena pinpoint the date of 16 April 1178 BCE" as the most likely date of Odysseus' return.
This dating places the destruction of Troy, ten years before, to 1188 BC, which is close to the archaeologically dated destruction of Troy VIIa circa 1190 BC.