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Related papers: Resonantly-forced Eccentric Ringlets: Relationship…

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Narrow eccentric planetary ringlets have sharp edges, sizable eccentricity gradients, and a confinement mechanism that prevents radial spreading due to ring viscosity. Most proposed ringlet confinement mechanisms presume that there are one…

Earth and Planetary Astrophysics · Physics 2025-05-13 Joseph M. Hahn , Douglas P. Hamilton , Thomas Rimlinger , Lucy Luu

(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

(Abridged) A simple and general description of the dynamics of a narrow eccentric ring is presented.We view an eccentric ring which precesses uniformly at a slow rate as exhibiting a global $m=1$ mode originating from a standing wave…

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

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…

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,…

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

Normal mode oscillations in Saturn excite density and bending waves in the C Ring, providing a valuable window into the planet's interior. Saturn's fundamental modes (f modes) excite the majority of the observed waves, while…

Earth and Planetary Astrophysics · Physics 2021-12-20 Janosz W. Dewberry , Christopher R. Mankovich , Jim Fuller , Dong Lai , Wenrui Xu

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

Many small moonlets, creating propeller structures, have been found in Saturn's rings by the Cassini spacecraft. We study the dynamical evolution of such 20-50m sized bodies which are embedded in Saturn's rings. We estimate the importance…

Earth and Planetary Astrophysics · Physics 2010-11-23 Hanno Rein , John C. B. Papaloizou

Narrow planetary rings are eccentric and inclined. Particles within a given ring must therefore share the same pericenter and node. We solve for the three-dimensional geometries and mass distributions that enable the Uranian Alpha and Beta…

Astrophysics · Physics 2009-11-10 Eugene I. Chiang , Christopher J. Culter

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

Seismology allows for direct observational constraints on the interior structures of stars and planets. Recent observations of Saturn's ring system have revealed the presence of density waves within the rings excited by oscillation modes…

Earth and Planetary Astrophysics · Physics 2015-04-30 Jim Fuller

The boundaries of the Uranian epsilon, alpha, and beta rings can be fitted by Keplerian ellipses. The pair of ellipses that outline a given ring share a common line of apsides. Apse alignment is surprising because the quadrupole moment of…

Astrophysics · Physics 2009-10-31 E. I. Chiang , P. Goldreich

Images obtained by the Cassini spacecraft of the region just beyond Saturn's main rings reveal a previously unreported narrow and dusty ringlet that has dynamical connections with both Saturn's small satellite Prometheus and the F ring. The…

Earth and Planetary Astrophysics · Physics 2016-10-12 M. M. Hedman , B. J. Carter

Massive eccentric disks (gaseous or particulate) orbiting a dominant central mass appear in many astrophysical systems, including planetary rings, protoplanetary and accretion disks in binaries, and nuclear stellar disks around supermassive…

Earth and Planetary Astrophysics · Physics 2018-09-19 Irina Davydenkova , Roman R. Rafikov

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

Tidal interactions between Saturn and its satellites play a crucial role in both the orbital migration of the satellites and the heating of their interiors. Therefore constraining the tidal dissipation of Saturn (here the ratio k2/Q) opens…

Earth and Planetary Astrophysics · Physics 2015-06-04 V. Lainey , Ö. Karatekin , J. Desmars , S. Charnoz , J-E. Arlot , N. Emelyanov , C. Le Poncin-Lafitte , S. Mathis , F. Remus , G. Tobie , J-P. Zahn

With recent advances in the modeling of the solar system giant planets, rapid progress has been made in understanding the remaining questions pertaining to their formation and evolution. However, this progress has largely neglected the…

Earth and Planetary Astrophysics · Physics 2026-02-04 Yubo Su , Janosz W. Dewberry , Roberto Tejada Arevalo , Ankan Sur , Adam Burrows

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

Some wave features found in the C-ring of Saturn appear to be excited by resonances with normal mode oscillations of the planet. The waves are found at locations in the rings where the ratio of orbital to oscillation frequencies is given by…

Earth and Planetary Astrophysics · Physics 2015-06-18 Mark S. Marley
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