Alpha Aldiss was a star system.

In 2269, the USS Enterprise (NCC-1701) was transporting Integrator J.A. Lawrence to Alpha Aldiss, when Captain James T. Kirk asked her to record his crews accounts on their adventures with Harry Mudd. (TOS novel: Mudd's Angels)

The stellar notation using the Greek language letter "alpha" indicates that there might be a star group or constellation of some sort named "Aldiss", of which Alpha Aldiss would logically be indicated to be the most prominent star or system.