Federation flag
Movies - TV
Why Star Trek’s Federation Flag Only Appeared In One TOS Episode
By WITNEY SEIBOLD
Characters don't pledge allegiance to a flag in "Star Trek." There is no money, wars, or countries on “Star Trek’s” planet Earth.
There is a flag for the United Federation of Planets, but it was only on-screen in one episode of the original series: "And the Children Shall Lead" (October 11, 1968).
Weirdly, the episode has nothing to do with the workings of the Federation, nor intergalactic politics, so it’s hard to say why the UFP flag was employed here.
There is no explanation as to why there are 13 stars on the pennant, as the Federation was founded by four worlds: Earth, Vulcan, Andoria, and Tellar.
In the episode "The Ultimate Computer" (March 8, 1968), the UFP pennant was painted on a Federation space station, but it was added digitally when the episode was remastered.