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A limit case of the "Ring problem"

Author
Cors, J.; Barrabés, E.; Hall, G.
Type of activity
Presentation of work at congresses
Name of edition
CELMEC V Meeting on Celestial Mechanics
Date of publication
2009
Presentation's date
2009-09
Book of congress proceedings
CELMEC V abstracts
First page
1
Last page
1
URL
http://www.mat.uniroma2.it/celmec/abstracts5/Josep_M._Cors_Iglesias.pdf Open in new window
Abstract
We study the dynamics of an idealized model of a planetary ring. We start with the n + 1 ring problem in a rotating coordinate system where an infinitesimal mass is attracted by n small masses m located in a regular n -gon around a central mass m 0 . Assuming the mass ratio m 0 /m of order n 3 , we construct a limiting problem as n tends to infinity. This limit process is similar to Hill ´s problem. The central mass is pushed towards the infinity while the distances between two consecutive ring...

Participants

  • Cors Iglesias, Josep Maria  (author and speaker )
  • Barrabés Vera, Esther  (author and speaker )
  • Hall, G.R.  (author and speaker )