Check out a trailer and 29 stills from the next Doctor Who episode, “Thin Ice” A new Doctor Who 10×03 trailer has just materialized and, in the player below, you can take at the next new episode, “Thin Ice”. Catch it Saturday, April 29 at 9:00pm ET/PT on BBC America. You can also check out a clip from the episode in the second player below and find 29 stills from “Thin Ice” in the gallery viewer at the bottom of this page. RELATED: Doctor Who Series 10 Teaser Revealed Doctor Who series 10 marks third and final series starring Peter Capaldi as the Twelfth Doctor.