Asteroid 204873, FAIR, was discovered on September 17, 2007 by Erwin Schwab and Rainer Kling at the Taunus Observatory of Goethe University near Glashutten, Hesse, Germany. It has a period of 4 years, 7 days.
It was named for the Facility for Antiproton and Ion Research (FAIR), a particle-accelerator facility at GSI Helmholtz Centre for Heavy Ion Research in Darmstadt, Germany.
The FAIR facility at GSI
The meaning of asteroid FAIR seems to be: fair (Henk Middelraad); possibly, fairs (or faires), fair-haired, fair-complected.