Royal Hope incident
The Royal Hope incident, also known as the Judoon incident, was the name given by The Secret Lives of Monsters to the event in which the Royal Hope Hospital was briefly relocated to the Moon by the Judoon. (TV: Smith and Jones, PROSE: The Secret Lives of Monsters)
Aftermath
That night, Martha joined the Doctor in the TARDIS. (TV: Smith and Jones) After an extended "trip", the Doctor returned Martha to her home on the following day, however, after the confrontation with Richard Lazarus, the Doctor accepted Martha as a full-time companion. That night, Francine Jones was approached by an agent of Saxon, who warned her about the Doctor. (TV: The Lazarus Experiment) Two days later, on election day, Francine Jones assisted Miss Dexter in tapping and tracing phone conversations with Martha as she traveled with the Doctor. (TV: 42) The day after the election, in which Saxon was elected Prime Minister of the United Kingdom, the Doctor and Martha returned along with Jack Harkness, realising that Saxon was the Master. They were embroiled in the Toclafane invasion (TV: The Sound of Drums) and the Year That Never Was, after which Martha decided to leave the Doctor, (TV: Last of the Time Lords) beginning a career in UNIT. (TV: Reset, The Sontaran Stratagem)
Alternate timeline
In Donna's World, where Donna Noble turned right instead of left, the Royal Hope incident occurred on 25 June 2007 after the Racnoss invasion of Earth resulted in the death of the Tenth Doctor. In his stead, Sarah Jane Smith was investigating the hospital - along with her son, Luke Smith, and his friends, Maria Jackson and Clyde Langer - when it was transported to the Moon. Sarah Jane took control of the situation, reassuring the staff and patients that she could stop the MRI. She was successful, but everyone in the building died of oxygen starvation, save a medical student named Oliver Morgenstern, when the hospital ran out of air; Martha Jones gave him the last oxygen tank, giving up her own life to save him. The hospital was returned to its original position, where Morgenstern was interviewed by BBC News. (TV: Turn Left)