There are a few areas of bad science in this movie. For starters, there are several action scenes combining different events. All are unlikely, but strung together are all but impossible. There are a few scenes that mess up relative velocities and ignore air resistance. Given the nature of the movie, I can be okay with that. There are explosions and sound in space, two things that can't happen.
Despite these areas of bad science, this movie is fantastic. Plus it has Benedict Cumberbatch! Can't beat that!!!