The Maxia Zeta star system was an uninhabited planetary system. The system consisted of a primary and twelve planets, none of which were habitable. The planets Maxia Zeta III and Maxia Zeta IV, as well as moons of the latter planet, were located in the system's habitable zone. The system was located at coordinates 16453/452.45.
On stardate 40217.3, in 2355, the USS Stargazer was on a routine survey mission to scan the planets in this system. Traveling at warp through the system, the Stargazer was ambushed by a Ferengi starship that was launched from one of the moons of Maxia Zeta IV. (TNG: "The Battle" display graphic)
The conflict, known later as the Battle of Maxia, became legendary among the students at Starfleet Academy for a particular tactic used by Captain Jean-Luc Picard in the defense of his ship and crew. (TNG: "The Battle")
In the first draft script of "The Battle", "Maxia Zeta" was the name of a starbase situated about an hour's distance from the site where the Battle of Maxia took place. The associated system was instead called the "Maxia star system" and was said to include a black hole.
The map of the system, seen in "The Battle", depicted the orbital paths of only seven planets. This map was later modified and subsequently appeared in the episodes "Datalore", "Conspiracy", and "The Ensigns of Command".
According to Star Trek: Star Charts ("United Federation of Planets I") and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), the Maxia Zeta system was a binary system in the Alpha Quadrant. The primary was a K-class star and the secondary was an M-class star. In the late 24th century, this was an independent system.
According to StarTrek.com, the primary was named "Maxia Zeta".