This sort of song proves that BOC still knew how to write a piece with commercial appeal.
The band in 1983 was:
Eric Bloom – guitar, vocals
Donald Buck Dharma Roeser – lead guitar, keyboards, vocals, mixing (uncredited)
Allen Lanier – piano, keyboards
Joe Bouchard – bass, electric and acoustic guitars, vocoder, vocals
Rick Downey – drums

Additional musicians
Larry Fast – synthesizers, programming
Aldo Nova – guitar and synthesizers on Take Me Away
Gregg Winter – backing vocals on Eyes on Fire
Randy Jackson – bass on Shooting Shark
Marc Baum – saxophone on Shooting Shark