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A limit case of the "Ring problem"

Autor
Cors, J.; Barrabés, E.; Hall, G.
Tipus d'activitat
Presentació treball a congrés
Nom de l'edició
CELMEC V Meeting on Celestial Mechanics
Any de l'edició
2009
Data de presentació
2009-09
Llibre d'actes
CELMEC V abstracts
Pàgina inicial
1
Pàgina final
1
URL
http://www.mat.uniroma2.it/celmec/abstracts5/Josep_M._Cors_Iglesias.pdf Obrir en finestra nova
Resum
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...

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