The story revolves around the lost planet Shada, on which the Time Lords built a prison for defeated would-be conquerors of the universe. Skagra, one such inmate, needs the help of one of the prison’s inmates. He finds nobody knows where Shada is anymore except one aged Time Lord who has retired to Earth, where he is a professor at St. Cedd’s College, Cambridge. Luckily for the universe, Skagra’s attempt to force the information out of Professor Chronotis coincides with a visit by the professor’s old friend, the Fourth Doctor.

The great hypnotist Professor Montserrat has developed a technique for controlling the minds, and sharing the sensations, of his subjects. He and his wife Estelle test the technique on Mike Roscoe, and enjoy ‘being’ the younger man. But Estelle soon grows to love the power of controlling Roscoe, and the vicarious pleasures that provides. How far will she go, and can the Professor restrain her in time?

Hapless Henry Palfrey is patronised by his self-important chief clerk at work, ignored by restaurant waiters, conned by shady second-hand car salesmen, and, worst of all, endlessly wrong-footed by unspeakably rotten cad Raymond Delauney who has set his cap at April, new love of Palfrey’s life. In desperation Henry enrolls at the College of Lifemanship to learn how to best such bounders and win the girl.