Constraints on the C ring parameters of Saturn at the Titan-1 : 0 resonance

A one-armed spiral bending wave in Saturn's rings excited by Titan's -1:0 i nner vertical resonance is one of the most prominent oscillatory features o bserved by Voyager 1. We study detailed dynamics of the particles inside th e ring, and show that one of the main causes of the complete dissipation of the bending wave within a distance of similar to 85 km from the resonance site could be as a result of the presence of a strong shear caused by radia l velocity variation along the vertical direction. Assuming this to be the only source, Voyager data would suggest that if the surface density of matt er is around 0.45 cm(-2) and the amplitude of the bending wave is around 12 00 m, then the upper limit of total vertical thickness of the C ring near t his resonance is around 40 m.