The Collaborative International Dictionary of English v.0.48:

epicyclic \ep`i*cyc"lic\, epicyclical \ep`i*cyc"lic*al\, a.
   Pertaining to, resembling, or having the motion of, an
   epicycle.
   [1913 Webster]

   Epicyclic train (Mach.), a train of mechanism in which
      epicyclic motion is involved; esp., a train of spur
      wheels, bevel wheels, or belt pulleys, in which an arm,
      carrying one or more of the wheels, sweeps around a center
      lying in an axis common to the other wheels.
      [1913 Webster]

WordNet (r) 3.0 (2006):

epicyclic
    adj 1: of or relating to an epicycle; "epicyclic gear train"
           [syn: epicyclic, epicyclical]