scholarly journals Dust in Planetary Ring Systems

1991 ◽  
Vol 126 ◽  
pp. 349-356
Author(s):  
Mark R. Showalter
Keyword(s):  
General Class ◽  
Large Population ◽  
Physical Processes ◽  
Ring Systems ◽  
Interstellar Grains ◽  
Planetary Ring

AbstractEach of the outer gas giants Jupiter, Saturn, Uranus and Neptune is now known to be encircled by a system of rings. Some of these, such as the A, B, and C rings of Saturn and the nine narrow Uranian rings, are rather optically thick and are composed primarily of large bodies (1 cm to 10 m). However, every other system has been found to contain a large population of micron-sized dust. Such rings reveal the effects of a variety of physical processes that are also acting on interplanetary and interstellar grains. When such rings are examined as members of a general class, recurring patterns begin to emerge.

Stochasting modeling of planetary ring systems

1984 ◽  
Vol 75 ◽  
pp. 461-469 ◽  
Author(s):  
Robert W. Hart
Keyword(s):  
Maximum Entropy ◽  
Ring System ◽  
The Sun ◽  
Ultimate State ◽  
Interparticle Interactions ◽  
Ring Systems ◽  
First Order ◽  
Planetary Ring ◽  
Insight Into

ABSTRACTThis paper models maximum entropy configurations of idealized gravitational ring systems. Such configurations are of interest because systems generally evolve toward an ultimate state of maximum randomness. For simplicity, attention is confined to ultimate states for which interparticle interactions are no longer of first order importance. The planets, in their orbits about the sun, are one example of such a ring system. The extent to which the present approximation yields insight into ring systems such as Saturn's is explored briefly.

scholarly journals The Origin of Planetary Ring Systems

2018 ◽  
pp. 517-538 ◽  
Author(s):  
S. Charnoz ◽  
R. M. Canup ◽  
A. Crida ◽  
L. Dones
Keyword(s):  
Ring Systems ◽  
Planetary Ring

A bivariate birth-death process which approximates to the spread of a disease involving a vector

1972 ◽  
Vol 9 (01) ◽  
pp. 65-75 ◽  
Author(s):  
D. A. Griffiths
Keyword(s):  
Simple Model ◽  
Probability Distribution ◽  
General Class ◽  
Large Population ◽  
Vector Model ◽  
Death Process ◽  
The Mean ◽  
Probability Of Extinction ◽  
Over Time ◽  
Birth Death

A simple model for a bivariate birth-death process is proposed. This model approximates to the host-vector epidemic situation. An investigation of the transient process is made and the mean behaviour over time is explicitly found. The probability of extinction and the behaviour of the process conditional upon extinction are examined and the probability distribution of the cumulative population size to extinction is found. Appropriate circumstances are suggested under which the model might possibly be applied to malaria. The host-vector model is classified within a general class of models which represent large population approximations to epidemics involving two types of infectives.

Planetary ring systems

1983 ◽  
Vol 21 (2) ◽  
pp. 173 ◽  
Author(s):  
Jeffrey Cuzzi
Keyword(s):  
Ring Systems ◽  
Planetary Ring

A bivariate birth-death process which approximates to the spread of a disease involving a vector

1972 ◽  
Vol 9 (1) ◽  
pp. 65-75 ◽  
Author(s):  
D. A. Griffiths
Keyword(s):  
Simple Model ◽  
Probability Distribution ◽  
General Class ◽  
Large Population ◽  
Vector Model ◽  
Death Process ◽  
The Mean ◽  
Probability Of Extinction ◽  
Over Time ◽  
Birth Death

A simple model for a bivariate birth-death process is proposed. This model approximates to the host-vector epidemic situation. An investigation of the transient process is made and the mean behaviour over time is explicitly found. The probability of extinction and the behaviour of the process conditional upon extinction are examined and the probability distribution of the cumulative population size to extinction is found. Appropriate circumstances are suggested under which the model might possibly be applied to malaria. The host-vector model is classified within a general class of models which represent large population approximations to epidemics involving two types of infectives.

Planetary Ring Systems

Eos ◽  
2008 ◽  
Vol 89 (37) ◽  
pp. 343
Author(s):  
Carl Murray
Keyword(s):  
Ring Systems ◽  
Planetary Ring
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