The Dalek Invasion of Earth - S2-E2
Visible crew/equipment: When the rebels attack the Dalek saucer, a Dalek asks what sector the prisoners were taken from, and in the bottom left hand corner a giant boom mike comes into view.
The Dalek Invasion of Earth - S2-E2
Visible crew/equipment: As the two prisoners join the Doctor and Ian, the camera follows them and you can see the heliport set through the Dalek saucer.
The Dalek Invasion of Earth - S2-E2
Visible crew/equipment: When the Doctor and Ian are talking about the discs on The Daleks' backs, you can see a female crewmember behind the robomen, standing there and then walking off, and then another crewmember in a white shirt dart past the robomen.
The Dalek Invasion of Earth - S2-E2
Visible crew/equipment: Just before Dortman leaves to test out his bomb, he comes towards the camera. When he's doing this, look at the right side of the screen - you can see a crewmember's shadow. It can't be Barbara or Jenny because they then enter from the left.
Answer: TARDISes are generally available for properly authorised use on Gallifrey; they're not usually assigned to a particular Timelord on a long-term basis. The Doctor stole his when he left his homeworld.
Tailkinker ★