Aidan Bell
Aidan Bell is the composer of the original Elite theme. For the Commodore 64 release, his composition was arranged and programmed for the SID by Julie Dunn, credited at the time as David Dunn; Bell later developed the Elite story into Elite: The Musical.
Sources: MobyGames — Elite Commodore 64 credits · C64.COM interview with Julie Dunn on the Elite theme · C64-Wiki — Elite music credits