Club Pink Moon is the name of a topless bar on Picon, and potentially a venue of Caprica.
Pink Moon is seen prior to the First Cylon War via advertisements on Caprica during 42YR (CAP: "Retribution").
In 00YR, Pink Moon was in operation, and is destroyed during the orbital bombardment by Cylons' nuclear ordinances, killing several employees and patrons. At this time, Ellen Tigh converses with a humanoid Cylon Number One copy, and would have died from her injuries were it not for the intervention of the aforementioned Number One copy, as he felt she had yet to learn any important lessons. From here, both eventually wind up on Rising Star and then Galactica (TRS: "The Plan", "Tigh Me Up, Tigh Me Down").