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It is shown that Julia-Zee dyons do not admit slowly rotating excitations.This is achieved by investigating the complete set of stationary excitationswhich can give rise to non-vanishing angular momentum. The relevant zero modesare parametrized in a gauge invariant way and analyzed by means of a harmonicdecomposition. Since general arguments show that the solutions to thelinearized Bogomol'nyi equations cannot contribute to the angular momentum, therelevant modes are governed by a set of electric and a set of non self-dualmagnetic perturbation equations. The absence of axial dipole deformations isalso established.Comment: 22 pages, Revtex, no figure

On rotational excitations and axial deformations of BPS monopoles and Julia-Zee dyons