Abstract
In a uniform magnetic field and a central force of the form F = ξr, where ξ is a constant, charged particles describe epicyclic orbits in a plane perpendicular to the magnetic field for a limited range of ξ. These orbits are more varied than the simple trochoid which occurs when F is uniform. The orbits are of two kinds: the direct epicyclics and the retrograde epicyclics, corresponding, respectively, to motion occurring in central repulsion and central attraction force fields.