McCoy with two cabaret girls from Rigel II recreated by the Shore Leave Planet

Rigel II was the inhabited second planet of the Rigel system. (TOS: "Shore Leave")

Lieutenant Commander Leonard McCoy of the Federation starship USS Enterprise once met a pair of scantily-clad women in a cabaret chorus line on Rigel II. In 2267, the two women were recreated from Dr. McCoy's imagination on the Shore Leave Planet in the Omicron Delta region. (TOS: "Shore Leave")

Assuming it was in the same system as Rigel X, it was presumably located less then ninety lightyears from Earth. This is because Enterprise visited Rigel X before it visited Risa, which in "Two Days and Two Nights" was said to be ninety light years away and the furthest Humans had ever traveled from their home.
According to Star Trek: Star Charts (pp. 52, 59, "United Federation of Planets I"), Rigel II, also known as Beta Rigel II, was an M-class planet. The planet was a member planet of both the United Rigel Colonies and the United Federation of Planets. Rigel IV was admitted, along with the United Rigel Colonies, to the Federation in 2202.

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