Polarization catastrophe model of static electrification and spokes in the B-ring of Saturn

A Clausius-Mossotti polarization catastrophe is presented as the operative charging mechanism in the Saturn B-ring. A review is undertaken of the polarization effect appearing in ice at the crystallization temperature. The ice crystals in the Saturn rings are in the 68-85 K temperature range, close to the ferroelectric transition temperature. An analytical treatment of the interaction of the ice crystals with the Saturn electric discharge field indicates that once polarization is initiated, it propagates toward the direction of the initial polarization. The spokes form in the radial direction, following the radial direction of the Saturn electric field. The polarization is cancelled by free plasma in the planet shadow. The charges are freed and are observed as the Saturn electric discharge phenomena, which has a periodicity which corresponds with the superrotation of the Saturn ionosphere.