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As the rules are written right now, it says if you destroy all your opponent's ships, you can take control of the planet; it doesn't say your own ships have to survive. So as-written, I would say the attacker takes the planet.
However, I don't know if that was the intended result.
Yeah, that's how I had interpreted it from a literal reading of the rulebook, however it didn't make much sense to me that if all ships blew each other up, control of the planet would switch.
Thanks for the response!