Book contents
- Frontmatter
- Contents
- Preface
- Names and addresses of participants
- Conference photograph
- Spiral waves in Saturn's rings
- Structure of the Uranian rings
- Planetary rings: theory
- Simulations of light scattering in planetary rings
- Accretion discs around young stellar objects and the proto-Sun
- The β Pictoris disc: a planetary rather than a protoplanetary one
- Optical polarimetry and thermal imaging of the disc around β Pictoris
- Observations of discs around protostars and young stars
- VLA observations of ammonia toward molecular outflow sources
- Derivation of the physical properties of molecular discs by an MEM method
- Masers associated with discs around young stars
- The nature of polarisation discs around young stars
- The correlation between the main parameters of the interstellar gas (including Salpeter's spectrum of masses) as a result of the development of turbulent Rossby waves
- Discs in cataclysmic variables and X-ray binaries
- A disc instability model for soft X-ray transients containing black holes
- X-ray variability from the accretion disc of NGC 5548
- Viscously heated coronae and winds around accretion discs
- Optical emission line profiles of symbiotic stars
- The effect of formation of Fell in winds confined to discs for luminous stars
- Observational evidence for accretion discs in active galactic nuclei
- The fuelling of active galactic nuclei by non-axisymmetric instabilities
- The circum-nuclear disc in the Galactic centre
- Non-axisymmetric instabilities in thin self-gravitating differentially rotating gaseous discs
- Non-linear evolution of non-axisymmetric perturbations in thin self-gravitating gaseous discs
- Eccentric gravitational instabilities in nearly Keplerian discs
- Gravity mode instabilities in accretion tori
- The stability of viscous supersonic shear flows – critical Reynolds numbers and their implications for accretion discs
- Asymptotic analysis of overstable convective modes of uniformly rotating stars
- Polytropic models in very rapid rotation
- Distribution and kinematics of gas in galaxy discs
- Are the smallest galaxies optically invisible?
- Can we understand the constancy of rotation curves?
- How well do we know the surface density of the Galactic disc?
- On the heating of the Galactic disc
- The bulge-disc interaction in galactic centres
- Dynamics of the large-scale disc in NGC 1068
- The flow of gas in barred galaxies
- The warped dust lane in A1029-459
- Structure and evolution of dissipative non-planar galactic discs
- Non-axisymmetric magnetic fields in turbulent gas discs
- Non-axisymmetric disturbances in galactic discs
- Spiral instabilities in N-body simulations
- Long-lived spiral waves in N-body simulations
- Overstable modes in stellar disc systems
- Galactic seismological approach to the spiral galaxy NGC 3198
- Characteristics of bars from 3-D simulations
- Spirals and bars in linear theory
- Stellar hydrodynamical solutions for Eddington discs
- Theory of gradient instabilities of the gaseous Galactic disc and rotating shallow water
- Stability criteria for gravitating discs
- Stability of two-component galactic discs
- The smoothed particle hydrodynamics of galactic discs
- Tidal triggering of active disc galaxies by rich clusters
- The formation of spiral arms in early stages of galaxy interaction
- Formation of leading spiral arms in retrograde galaxy encounters
- The influence of galaxy interactions on stellar bars
- Disc galaxies – work in progress in Gothenburg
- Motion of a satellite in a disc potential
- Observer's summary
- Common processes and problems in disc dynamics
- Citation index
- Index of authors
- Subject index
Structure of the Uranian rings
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- Names and addresses of participants
- Conference photograph
- Spiral waves in Saturn's rings
- Structure of the Uranian rings
- Planetary rings: theory
- Simulations of light scattering in planetary rings
- Accretion discs around young stellar objects and the proto-Sun
- The β Pictoris disc: a planetary rather than a protoplanetary one
- Optical polarimetry and thermal imaging of the disc around β Pictoris
- Observations of discs around protostars and young stars
- VLA observations of ammonia toward molecular outflow sources
- Derivation of the physical properties of molecular discs by an MEM method
- Masers associated with discs around young stars
- The nature of polarisation discs around young stars
- The correlation between the main parameters of the interstellar gas (including Salpeter's spectrum of masses) as a result of the development of turbulent Rossby waves
- Discs in cataclysmic variables and X-ray binaries
- A disc instability model for soft X-ray transients containing black holes
- X-ray variability from the accretion disc of NGC 5548
- Viscously heated coronae and winds around accretion discs
- Optical emission line profiles of symbiotic stars
- The effect of formation of Fell in winds confined to discs for luminous stars
- Observational evidence for accretion discs in active galactic nuclei
- The fuelling of active galactic nuclei by non-axisymmetric instabilities
- The circum-nuclear disc in the Galactic centre
- Non-axisymmetric instabilities in thin self-gravitating differentially rotating gaseous discs
- Non-linear evolution of non-axisymmetric perturbations in thin self-gravitating gaseous discs
- Eccentric gravitational instabilities in nearly Keplerian discs
- Gravity mode instabilities in accretion tori
- The stability of viscous supersonic shear flows – critical Reynolds numbers and their implications for accretion discs
- Asymptotic analysis of overstable convective modes of uniformly rotating stars
- Polytropic models in very rapid rotation
- Distribution and kinematics of gas in galaxy discs
- Are the smallest galaxies optically invisible?
- Can we understand the constancy of rotation curves?
- How well do we know the surface density of the Galactic disc?
- On the heating of the Galactic disc
- The bulge-disc interaction in galactic centres
- Dynamics of the large-scale disc in NGC 1068
- The flow of gas in barred galaxies
- The warped dust lane in A1029-459
- Structure and evolution of dissipative non-planar galactic discs
- Non-axisymmetric magnetic fields in turbulent gas discs
- Non-axisymmetric disturbances in galactic discs
- Spiral instabilities in N-body simulations
- Long-lived spiral waves in N-body simulations
- Overstable modes in stellar disc systems
- Galactic seismological approach to the spiral galaxy NGC 3198
- Characteristics of bars from 3-D simulations
- Spirals and bars in linear theory
- Stellar hydrodynamical solutions for Eddington discs
- Theory of gradient instabilities of the gaseous Galactic disc and rotating shallow water
- Stability criteria for gravitating discs
- Stability of two-component galactic discs
- The smoothed particle hydrodynamics of galactic discs
- Tidal triggering of active disc galaxies by rich clusters
- The formation of spiral arms in early stages of galaxy interaction
- Formation of leading spiral arms in retrograde galaxy encounters
- The influence of galaxy interactions on stellar bars
- Disc galaxies – work in progress in Gothenburg
- Motion of a satellite in a disc potential
- Observer's summary
- Common processes and problems in disc dynamics
- Citation index
- Index of authors
- Subject index
Summary
Introduction
Nine rings of Uranus were discovered by Earth-based stellar occultations in 1977. In order of increasing semi-major axis from the planet they have been denoted 6, 5, 4, α β η γ δ and ∈. The rings are very dark, very narrow (typically < 5 km) and have extremely sharp edges. The standard theory for the confinement of narrow rings against the spreading effects of Poynting-Robertson drag and collisions (Goldreich & Tremaine 1977) proposes that each ring is bounded by a pair of Lindblad resonances from shepherding satellites. Saturn's F-ring is now known to be shepherded by the two satellites Pandora and Prometheus, and in January 1986 Voyager 2 images of the Uranian system in back scattered light showed the presence of two satellites, Cordelia and Ophelia, on either side of the ∈ ring. Eight other small satellites, all exterior to the main rings, were discovered by Voyager 2.
Porco & Goldreich (1987) showed that the inner edge of the ∈ ring is within a kilometre of the 24:25 outer Lindblad resonance with Cordelia while the outer edge is within 300 m of the 14:13 inner Lindblad resonance with Ophelia. They identified two other possible resonances between ring features and these two satellites. A series of narrow angle Voyager 2 images of the rings were taken at fixed, non-rotating positions to search for small satellites orbiting between the rings. No further satellites were found down to a detection limit of 10 km (Smith et al. 1986).
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- Dynamics of Astrophysical Discs , pp. 17 - 18Publisher: Cambridge University PressPrint publication year: 1989
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