This is the last Stooge short to be filmed but this wasn't the last Stooge short released (the final stooge short that was released was Sappy Bull Fighters (1959)).
When the female aliens give Joe their card, their spacecraft is described as a "Sputnik--G.i--8." "Sputnik" is the name of the first artificial earth satellite and was launched by the Soviet Union on October 4, 1957. This short was filmed less than three months later, on December 19-20, 1957.