Easter egg: On disc four of series 3, go into the scene selection, go to the last page, highlight "keep looking" and press "up." You know have the whole easter egg that was part of the story.

The Impossible Planet (1) - S2-E11
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)
The Doctor: I'm not... I'm not... I'm not from Mars!
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Chosen answer: No, no information is avalible for the identity of the entity.
Repo_Man