THE ULTIMATE COMPUTER
The Daystrom Institute and Dr Richard Daystrom himself would be referred to many times during the course of the follow-up Star Trek series
The Next Generation
Deep Space Nine
Commodore Robert Wesley would later retire from Starfleet and become governor of the planet Mantillies as revealed in the
"Star Trek: The Animated Series"
"One of Our Planets is Missing"
Another instance of Captain Kirk "talking a computer to death." He had previously done so in
"The Return of the Archons"
Captain Kirk would repeat John Masefield's quote of "All I ask is a tall ship and a star to steer her by." in "Star Trek V: The Final Frontier".