This page contains information regarding Star Trek: Discovery, and thus may contain spoilers.
During the early 23rd century, this was the birthplace of Starfleet officer Christopher Pike, who became captain of the starship USS Enterprise. When living in Mojave and owning a pair of horses, Pike rode his two horses – Tango and Mary Lou – into the groves with a picnic lunch every day. While in space he missed his hometown, describing it as a "Nice little town." (TOS: "The Cage")
In 2257, when Pike first beams over to the USS Discovery and meets Saru to take command of the ship, he told him that while he was in Mojave he had learned to just "dive right in," so as to alleviate the awkwardness. (DIS: "Brother")
Background information Edit
In the scripts for initial pilot "The Cage", the parkland near Mojave was described thus; "The locale is beautifully planted, rich park and forest land." Mojave itself was also detailed in "the far horizon where we can see a distant skyline of towering buildings with beautifully delicate architecture."
The Star Trek Encyclopedia (4th ed., vol. 2, p. 49) described Mojave as a southwestern region of the North American continent. The distant settlement was referred to as the "Mojave city" in this reference work.
The parkland in "The Cage" was filmed on Stage 16 of Desilu's Culver City lot.  A detailed background painting of a futuristic cityscape in a desert oasis was created by Albert Whitlock for the parkland scene of "The Cage".(citation needed • edit) It was later reused as a city on Planet Q in TOS: "The Conscience of the King". (The Art of Star Trek, p. 22; Encyclopedia (4th ed., vol. 2, p. 49))
Mojave was a somewhat prophetic choice for the home of space pioneer Pike, since, in 2004, some forty years after "The Cage" was written, Mojave became the USA's first inland spaceport, and the first to be cleared for horizontal spacecraft takeoff and launch.