Tales of the Velvet Comet

Tales of the Velvet Comet is a series of four science-fiction novels by Mike Resnick. The Velvet Comet, one of the many leisure and entertainment enterprises owned by the galaxy-spanning Vainmill Corporation, is a barbell-shaped space station that serves as the galaxy's most exclusive bordello to the rich and (in-)famous.
The four novels which comprise the series look in on four periods of the Velvet Comet's lifespan, from early on in the Comet's life ("Eros Ascending") to a period after the Comet's decommissioning ("Eros at Nadir").