Starbase 11 was a Federation outpost that was administered by Starfleet in the mid-23rd century. This outpost had repair and maintenance facilities for starships. This starbase was located on a planet. The base was commanded by Commodores Stone and Mendez in 2267. The Talos Star Group was near this starbase.
In addition to its dedicated starship repair facilities, Starbase 11 also housed a hospital section with an intensive care area dedicated to the treatment of seriously wounded individuals, including Fleet Captain Christopher Pike, who was left an invalid subsequent to exposure to massive amounts of delta rays. The starbase also maintained a dedicated computer center, and at least one shuttlecraft, the Picasso. (TOS: "The Menagerie, Part I")
In 2267, the USS Enterprise diverted to Starbase 11, then under the command of Commodore Stone, in order to undergo repairs due to damage sustained during an encounter with an extremely powerful ion storm. While the Enterprise was there, Starbase 11 served as the site of a court martial against the vessel's commanding officer, James T. Kirk, the first such proceeding against a starship captain, for Kirk's apparent role in the death of Lieutenant Ben Finney. It was later discovered, however, that Finney was not, in fact, dead, but had rather faked his own death in an effort to frame Kirk. (TOS: "Court Martial")
Later that year, the Enterprise returned to Starbase 11, which at this point was under the command of Commodore Mendez. Although it had initially appeared as if Captain Kirk had received orders to divert to the starbase, subsequent investigation concluded that the facility had sent no such message, and that the orders were, in fact, forged by the Enterprise's first officer, Lieutenant Commander Spock, as part of a plot to gain access to Captain Pike, his former commanding officer, and illegally transport him to the forbidden planet of Talos IV. (TOS: "The Menagerie, Part I", "The Menagerie, Part II")
List of personnel
Starbase 11 was the first named starbase in Star Trek. Presumably, this base was located in the Alpha Quadrant.
The name of the planet on which Starbase 11 was situated wasn't given in either episode. However, it seemed quite plausible that the base was on a moon of a gas giant, visible in the sky in "The Menagerie".
"Court Martial" and "The Menagerie" were not originally broadcast in adjoining weeks, but they were filmed back-to-back.