Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft

A continuous wavelet transform with a complex Morlet basis offers an effective method for the analysis of an instant variable periodicity in the spatially inhomogeneous matter density in the radial structure of Saturn's rings. An original algorithm that reduces the integral transform to solving a Cauchy problem for a partial differential equation is used for an analysis of the images of Saturn's B and C rings, which were obtained in the second half of 2004 from the Cassini spacecraft. This paper is a continuation of our preceding study of the fine-scale structure of Saturn's rings reported in Zh. Eksp. Teor. Fiz. 128, 752 (2005) [JETP 101, 646 (2005)].