Trivia: The Clockwork Droids that serve as the episode's villains came from the SS Marie Antoinette, a sister ship to the SS Madame de Pompadour from "The Girl in the Fireplace". It's not surprising that the Doctor finds the situation familiar. The fact that he doesn't recognize the name of the ship is also unsurprising - he never found out what the Madame de Pompadour was actually called in the previous episode.
Factual error: The Doctor (and the staff on the station) refer to the idea of a planet being in orbit around a black hole as 'impossible'. It is not. Gravity (and physics in general) works perfectly well outside of the event horizon. For all practical purposes - regarding orbiting around it - the black hole might as well be any other object, as long as it has an equal mass. (00:07:15 - 00:08:30)
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