According to this, the set that the actor jogged in was 38 feet in diameter and 10 feet wide:
http://www.palantir.net/2001/meanings/dfx.html
It was a 38-ton "Ferris wheel" with the set pieces bolted down and, in some scenes, the actors strapped down.
I'm not sure if 38 feet is small enough to fit The Discovery as portrayed in the movie.
I've read that it's common in science fiction movies for the interiors of space ships, as portrayed by the sets, to be too large to fit if the exterior dimensions as portrayed by the models, CGI, etc.