Origin of the eccentricity gradient and the apse alignment of the epsilon ring of Uranus

Details Origin of the eccentricity gradient and the apse alignment of the epsilon ring of Uranus Origin of the eccentricity gradient and the apse alignment of the epsilon ring of Uranus

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980icar...43..338d&link_type=abstract

Icarus, vol. 43, Sept. 1980, p. 338-349.

Physics

15

Apsides, Eccentricity, Gravitational Effects, Particle Collisions, Precession, Uranus Rings, Inelastic Collisions, Particle Density (Concentration), Particle Motion, Stellar Occultation, Uranus, Origin, Eccentricity, Epsilon Ring, Rings, Gravity Effects, Particles, Precession, Collisions, Geometry, Calculations, Hypotheses, Orbital Elements, Models, Diagrams, Formation, Evolution, Gradients, Width

Scientific paper

The origin of the eccentricity gradient which gives rise to the marked variation in the width of the epsilon ring of Uranus and of the apse alignment of the eccentric epsilon ring is discussed. The geometry of the epsilon ring is considered, and it is shown that the observation that the width of the ring at any one point increases linearly with the radial distance of the point from the center of the planet places severe constraints on the apse alignment of the ring. The horseshoe orbit model proposed by Dermott et al. (1979, 1980) and the self-gravitation model of Goldreich and Tremaine (1979) intended to account for the precise apse alignment and the variation in width are examined, and deficiencies in these models are pointed out. A theory of apse alignment resulting from precessional pinch and the close packing of the particles at pericenter is proposed and used to predict the structure of the newly discovered narrow F ring of Saturn.

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