Tensions are high at a top secret and high security British research base as Britain attempts to be the first to send a rocket into orbit in efforts led by Dr Mitchell (Howard Duff). However, there are other tensions too as Mitchell's wife Vanessa (Cecile Chevreau) dislikes the restricted life on base and is having an affair with Dr Crenshaw (Andrew Osborn). Vanessa and Crenshaw go missing on the day of a new rocket test, the rocket failing to reach the correct orbit for some reason.
Ministry investigator Dr Smith (Alan Wheatley) comes in looking into why the two disappeared. He knows of the affair and logically deduces that Mitchell killed the pair and then stuffed their bodies into the rocket which is now in orbit! Mitchell volunteers to pilot another rocket into space to prove his innocence but Smith has a new lead and the pair might not be dead after all...
If you wanted a 1950s science fiction film you might find this a bit limited (though there are some orbital thrills at the end) but the crime investigation part of the film is pretty good and makes the film a perfectly reasonable watch.