No one does according to the Outer Space Treaty. No one can according to the Moon Treaty. (Thankfully the major powers didn’t ratify that one.) In practice, com

No one does according to the Outer Space Treaty. No one can according to the Moon Treaty. (Thankfully the major powers didn’t ratify that one.) In practice, common law has ruled that physical possession constitutes ownership with the precedent of the Apollo artifacts and Lunakhod rover.