• THE GRAVITATIONAL OSCILLATION OF A FLUID CYLINDER UNDER VARYING ELECTRIC FIELD

Abstract

The gravitational oscillation of a dielectric fluid cylinder surrounded by gravitational dielectric medium of negligible motion has been investigated via the normal mode analysis for non- axisymmetric perturbation. The acting forces on the model are: self-gravitating, pressure gradient and electrodynamic forces with oscillating time dependent electric field. We obtained Mathieu second order integro-differential equation. The oscillating electric field is only destabilizing in few axisymmentric states but it is strongly stabilizing in the remaining axisymmentric states. The self gravitating has strong destabilizing influence in the domain 0<x<1.0667 while it is stabilizing in the other states. The oscillating electric fields modify the gravitation stability states.