Dynamical stability of a self-gravitating rotating cylinder in a helical magnetic field

Astronomy and Astrophysics – Astrophysics

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Dynamic Stability, Magnetic Field Configurations, Rotating Cylinders, Bessel Functions, Gravitational Effects, Toroids

Scientific paper

The effect of a helical magnetic field on the oscillations and the stability of a homogeneous self-gravitating rotating cylinder is investigated. The axial field has a tendency to stabilize long wave numbers and to destabilize small wave numbers so that maximum instability occurs for a finite wave number. If the toroidal and the axial component of the field have the same sign, the instability associated with the toroidal field can be removed by the rotation or by the axial field. Rotational instability is reduced but cannot be removed by the field. If the components of the field have the opposite sign, rotational instability is increased. The maximum growth rate of the magnetic instability is reduced by a small axial field and tends to a finite value for large axial fields.

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