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Related papers: Sharp gap edges in dense planetary rings: An axisy…

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We explore whether hyperbolic diffusion may help explain sharp edges in the gaps in Saturn's rings. Sharp edges are conventionally understood to be due to angular momentum flux reversal at gap edges. We do not dispute this finding, but…

Earth and Planetary Astrophysics · Physics 2025-03-06 Peter Todd Williams

Density waves in Saturn's rings are usually tightly wrapped spiral patterns generated by resonances with either Saturn's moons or structures inside the planet. However, between the Barnard and Bessel Gaps in the Cassini Division (i.e.…

Earth and Planetary Astrophysics · Physics 2019-02-27 M. M. Hedman , P. D. Nicholson

(Abridged) The following describes a model of a broad planetary ring whose sharp edge is confined by a satellite's m^th Lindblad resonance (LR). This model uses a streamline formalism to calculate the ring's internal forces, namely, ring…

Earth and Planetary Astrophysics · Physics 2011-02-11 Joseph M. Hahn , Joseph N. Spitale , Carolyn C. Porco

We use a simple model of the dynamics of a narrow-eccentric ring, to put some constraints on some of the observable properties of the real systems.In this work we concentrate on the case of the `Titan ringlet of Saturn'.Our approach is…

Astrophysics · Physics 2009-11-10 M. D. Melita , J. C. B. Papaloizou

This paper addresses resonantly forced spiral density waves in a dense planetary ring which is close to the threshold for viscous overstability. We solve numerically the hydrodynamical equations for a dense, axisymmetric thin disk in the…

Earth and Planetary Astrophysics · Physics 2019-03-20 Marius Lehmann , Juergen Schmidt , Heikki Salo

The Iapetus -1:0 nodal bending wave, the first spiral wave ever described in Saturn's rings, has been seen again for the first time in 29 years. We demonstrate that it is in fact the nodal bending wave, not the 1:0 apsidal density wave as…

Earth and Planetary Astrophysics · Physics 2015-06-15 Matthew S. Tiscareno , Matthew M. Hedman , Joseph A. Burns , John W. Weiss , Carolyn C. Porco

The Lagrange planetary equations are used to study to secular evolution of a small, eccentric satellite that orbits within a narrow gap in a broad, self-gravitating planetary ring. These equations show that the satellite's secular…

Astrophysics · Physics 2009-11-13 Joseph M. Hahn

We describe a powerful signal processing method, the continuous wavelet transform, and use it to analyze radial structure in Cassini ISS images of Saturn's rings. Wavelet analysis locally separates signal components in frequency space,…

We use a state-of-the-art physics-based model of electromagnetic scattering to analyze average circular polarization ratios measured for the A and B rings of Saturn at a wavelength of 12.6 cm. This model is directly based on the Maxwell…

Astrophysics · Physics 2011-02-11 Michael I. Mishchenko , Janna M. Dlugach

Saturn's diffuse E ring consists of many tiny (micron and sub-micron) grains of water ice distributed between the orbits of Mimas and Titan. Various gravitational and non-gravitational forces perturb these particles' orbits, causing the…

Earth and Planetary Astrophysics · Physics 2015-06-03 M. M. Hedman , J. A. Burns , D. P. Hamilton , M. R. Showalter

A new model for the shape of the prominent eccentric ringlet in the gap exterior to Saturn's B-ring is developed based on Cassini imaging observations taken over about 8 years. Unlike previous treatments, the new model treats each edge of…

Earth and Planetary Astrophysics · Physics 2016-08-31 Joseph N. Spitale , Joseph M. Hahn

We perform axisymmetric hydrodynamical simulations that describe the nonlinear outcome of the viscous overstability in dense planetary rings. These simulations are particularly relevant for Cassini observations of fine-scale structure in…

Earth and Planetary Astrophysics · Physics 2015-05-19 Henrik N. Latter , Gordon I. Ogilvie

Saturn's rings, reminiscent of an early Solar System present a unique opportunity to investigate experimentally some mechanisms thought to be responsible for planet and planetesimal formation in protoplanetary discs. Here we extended the…

Earth and Planetary Astrophysics · Physics 2015-06-18 Phil J Sutton , Feo Kusmartsev

We propose a new mechanism which explains the existence of enormously sharp edges in the rings of Saturn. This mechanism is based on the synchronization phenomenon due to which the epicycle rotational phases of particles in the ring, under…

Astrophysics · Physics 2009-05-27 D. L. Shepelyansky , A. S. Pikovsky , J. Schmidt , F. Spahn

In this work, we model the radial density profile of the outer A ring of Saturn observed with Cassini cameras (Tiscareno & Harris 2018): An axisymmetric diffusion model has been developed, accounting for the outward viscous flow of the ring…

Earth and Planetary Astrophysics · Physics 2019-06-20 Fabio M. Grätz , Michael Seiler , Martin Seiß , Holger Hoffmann , Frank Spahn

Observations by the Voyager and Cassini spacecrafts have revealed various striking features of the gap structure in Saturn's ring, such as the density waves, sharp edge, and vertical wall structure. In order to explain these features in a…

Earth and Planetary Astrophysics · Physics 2024-03-06 Naoya Torii , Shigeru Ida , Eiichiro Kokubo , Shugo Michikoshi

Saturn's rings are composed of icy grains, most in the mm to m size ranges, undergoing several collisions per orbit. Their collective behaviour generates a remarkable array of structure over many orders of magnitude, much of it not well…

Earth and Planetary Astrophysics · Physics 2023-01-18 Rémy Larue , Henrik Latter , Hanno Rein

Among the great discoveries of the Cassini mission are the propeller-shaped structures created by small moonlets embedded in Saturn's dense rings. We analyze images of the sunlit side of Saturn's outer A ring, which show the propeller…

Earth and Planetary Astrophysics · Physics 2018-11-14 Holger Hoffmann , Michael Seiler , Martin Seiß , Frank Spahn

Stellar occultations by Saturn's rings observed with the Visual and Infrared Mapping Spectrometer (VIMS) onboard the Cassini spacecraft reveal that dusty features such as the F ring and the ringlets in the Encke and the Laplace Gaps have…

Earth and Planetary Astrophysics · Physics 2011-09-23 M. M. Hedman , P. D Nicholson , M. R. Showalter , R. H. Brown , B. J. Buratti , R. N. Clark , K. Baines , C. Sotin

Certain spiral density waves in Saturn's rings are generated through resonances with planetary normal modes, making them valuable probes of Saturn's internal structure. Previous research has primarily focused on the rotation rates of these…

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