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Memory Alpha

The Ba'ku system was an inhabited single star system in the Alpha Quadrant. Found inside the Briar Patch in Sector 441, this system contained the planet Ba'ku, which was the adopted homeworld of the Ba'ku. This planet was home to native species of fishes, goats, hummingbirds, llamas, and the Rhyl. (Star Trek: Insurrection)

Stellar cartography[]

In 2256, the location of Ba'ku was labeled on the star chart "Alpha/Beta Quadrant Overview" in the ready room aboard the USS Discovery. (DIS: "Magic to Make the Sanest Man Go Mad")

In 2259, the location of this system was labeled on a stellar cartography chart that was seen on the USS Enterprise's ready room viewscreen. This system's symbol had a blue color, indicating that it was affiliated with the United Federation of Planets. (SNW: "Strange New Worlds", "Spock Amok")

The system's location was labeled in a Federation star chart that was in Fleet Admiral Kirsten Clancy's office at Starfleet Headquarters in 2399 and on the bridge of the USS Titan-A in 2401. The Ba'ku system was in or near to Federation space. (PIC: "Maps and Legends", "The Next Generation", "Disengage")

This star system was only mentioned in writing.
The name of this system came from the source material used, the Star Trek: Star Charts and Stellar Cartography: The Starfleet Reference Library, to create the star charts seen in both Star Trek: Discovery and Star Trek: Picard.
The primary of the system was classified as a K-class star by the Star Trek: Star Charts (p. 62) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"),