The Robot can be heard saying "SNAFU" right after Doctor Smith sets off his rainmaker rocket.
Zuben Algenubi is approximately 77.2 light years from Earth. Alpha Centauri the Robinson's destination is 4.4 light years from Earth.
When Will Robinson opens a door on the bridge of the ship, a very typical 20th century door latch is visible.
The title is based on "Mutiny on the Bounty," a formal report of a true event, happening on a British naval vessel crossing the Pacific in the late 1780s. The same title has been used a fictionalized novel which was then adapted as Mutiny on the Bounty (1935) and Mutiny on the Bounty (1962).