Buck Rogers in the 25th Century S01 E05 Vegas in Space

"The original space man! The ultimate trip! Buck Rogers swings back to earth and lays it on the 25th Century!"

Buck is sent to the gambling city Sinaloa with Directorate special agent Marla Landers to rescue a young woman who has been kidnapped by the city's ruler, Velosi. Velosi plans to extract some information from the woman's mind in order to destroy one of his competitors. The information involves plans for the Draconian Hatchet fighters, which have been plaguing Earth's defense forces.