Mitton was elected to Council of the
Royal Astronomical Society 2012–2016, and chairman of the RAS library committee. He is a College Fellow of the Department of the History and Philosophy of Science, Cambridge. He is a founder director of Total Astronomy Limited, a company based in Cambridge that provides media services for the astronomy and space industries. Earlier in his career, while employed by the Cambridge University Press, he was the editor in question when Stephen Hawking famously put the success of his bestseller
A Brief History of Time down to advice from his editor that for every equation in the book the readership would be halved. As a result, the book included only a single equation,
E = mc^2. Jointly with his wife
Jacqueline Mitton, he occasionally gives astronomy lectures on cruise ships. ==Education==