Journal ArticleDOI
Velocity dependent coefficient of restitution and the evolution of collisional systems
TLDR
In this paper, the velocity dependent coefficient of restitution, α = α(Ν), was shown to lead to a many particle thick equilibrium state, independent of the initial conditions, and the essential requirement for this to take place is that dα dΝ 0, the system either disperses through growing random velocities, or flattens to a near monolayer state.Abstract:
Numerical simulations of 250 mutually colliding particles, revolving in the gravitational field of a central body, indicate that velocity dependent coefficient of restitution, α = α(Ν), can lead to a many particle thick equilibrium state, independent of the initial conditions. The essential requirement for this to take place is that dα dΝ 0, the system either disperses through growing random velocities, or flattens to a near monolayer state, depending on the initial conditions.read more
Citations
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Journal ArticleDOI
Coefficient of restitution of colliding viscoelastic spheres.
TL;DR: A Padé approximation is constructed for this function which may be used for a wide range of impact velocities where the concept of the viscoelastic collision is valid.
Journal ArticleDOI
Numerical simulations of dense collisional systems
TL;DR: In this article, the authors examined the viscous stability properties of dense planetary rings with a local simulation method closely resembling that of Wisdom and Tremaine (1988, Astron. J. 95, 925).
Journal ArticleDOI
Numerical simulations of dense collisional systems: II. Extended distribution of particle sizes
TL;DR: In this article, a local simulation method similar to that of Wisdom and Tremaine (1988, Astron. J. 95,925) with N up to 4000 particles is applied to the collisional dynamics of dense planetary rings with power-law distribution of particle sizes.
Journal ArticleDOI
Simulations of vibrated granular medium with impact velocity dependent restitution coefficient
Sean McNamara,Eric Falcon +1 more
TL;DR: Numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed in both the presence and the absence of gravity show that this model with impact-velocity-dependent restitution coefficient reproduces results that agree with experiments.
Journal ArticleDOI
Collisional simulations of satellite Lindblad resonances
J. Hänninen,Heikki Salo +1 more
TL;DR: In this paper, the influence of a perturbing satellite on a planetary ring at isolated Lindblad resonances is studied with numerical computer simulations, combining Aarseth's force polynomial method for orbit integrations with the calculation of particle-particle impacts.
References
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Journal ArticleDOI
The velocity dispersion in Saturn's rings
Peter Goldreich,Scott Tremaine +1 more
TL;DR: In this paper, the collisional dynamics of a differentially rotating disk of particles are considered and the relation between the coefficient of restitution and the optical depth of identical, inelastic, smooth spheres is derived.
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Structure, stability and evolution of Saturn's rings
TL;DR: In this article, the authors measured the coefficient of restitution of ice particles colliding at impact velocities relevant to Saturn's rings and applied these results to simple dynamical models for the rings and deduced the rings' thickness to be ≺5 m.
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The dynamics of dense particle disks
Suguru Araki,Scott Tremaine +1 more
TL;DR: In this paper, the Enskog theory of dense hard sphere gases is applied to differentially rotating dense particle disks in which the filling factor is not small, so that the ordinary Boltzmann kinetic theory is not accurate, and the authors show that the viscous instability which has been suggested as a source of the structure in Saturn's B ring does not arise in their models.
Journal ArticleDOI
Collisional properties of ice spheres at low impact velocities
TL;DR: In this paper, the impact properties of water ice were investigated using a new apparatus consisting of a compound disk pendulum and a stainless steel, temperature-controlled cryostat, and the coefficient of restitution as a function of velocity was obtained for ice spheres with four different radii of curvature.