  We perform a systematic study of stationary sphaleron-antisphaleron systems
of Weinberg-Salam theory at the physical value of the weak mixing angle. These
systems include rotating sphaleron-antisphaleron pairs, chains and vortex
rings. We show that the angular momentum of these solutions is proportional to
their electric charge. We study the dependence of their energy and magnetic
moment on their angular momentum. We also investigate the influence of their
angular momentum on their local properties, in particular on their energy
density and on the node structure of their Higgs field configuration.
Furthermore, we discuss the equilibrium condition for these solutions.
