Voyager radio occultation by the Uranian rings: Structure, dynamics, and particle sizes

Mathematics

Scientific paper

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Mathematical Models, Microwaves, Radio Occultation, Uranus Rings, Uranus Satellites, Voyager Project, Coherent Scattering, Eccentricity, Fresnel Diffraction, High Resolution, Opacity, Precession, Size Distribution

Scientific paper

Diffraction of Voyager 2's 3.6 and 13 cm wavelength microwaves by the Uranian rings is removed through an inverse Fresnel transform filtering procedure that accommodates the significant eccentricity of the rings. Resulting 50 m resolution profiles at two observation longitudes: (1) reveal remarkably detailed and longitudinally varying structure, (2) provide eccentricity gradient profiles of Rings alpha, beta, and epsilon which bring into question current theoretical models for observed rigid precession, and (3) suggest that two possible unseen satellites may confine some of the very sharp edges observed via resonant interactions.

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