Symmetry aspects of multipole moments in electromagnetism and mechanics of continua

In this paper we investigate the form of some multipole tensors, which arise in the expansion of a system of charges and currents, in terms of second-order Killing-Yano tensors in the phase space of classical mechanics. We related some of these tensors to the generators of dynamical symmetries like the angular momentum, the mass-inertia tensor, the conformal operator and the momentum conjugate Runge-Lenz vector. In this way we associate a geometrical meaning to such physical observables of the continua.