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I was wondering what happened to Darth Vader after the Battle of Yavin? If you remember from "A New Hope", near the end, Darth Vader's TIE Fighter is spinning off from chasing Luke down the trench because one of his wingmen hits him.
The Death Star is blown up and I don't remember any Star Destroyers or capital starships around that he could land on. I think earlier in the movie, Obi Wan said TIE Fighters are short range ships and couldn't venture out in the middle of space by themselves.
I understand, maybe Darth Vader's fighter is probably different/special from the other TIE Fighters and may have hyperspace capabilities but if it doesn't, then how did he survive or find his way home?