Abstract
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 stabilise long wave numbers and to destabilise 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 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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References
Chandrasekhar, S. and Fermi, E.: 1953,Astrophys. J. 118, 116.
Karnik, A.: 1982,Astrophys. Space Sci. 83, 209.
Luyten, P.: 1988a,Astrophys. Space Sci. 140, 359.
Luyten, P.: 1988b,Astrophys. Space Sci.,141, 27.
Markey, P. and Tayler, R.: 1973,Monthly Notices Roy. Astron. Soc. 163, 77.
Markey, P. and Tayler, R.: 1974,Monthly Notices Roy. Astron. Soc. 168, 505.
Pitts, E. and Tayler, R.: 1985,Monthly Notices Roy. Astron. Soc. 216, 139.
Tayler, R.: 1980,Monthly Notices Roy. Astron. Soc. 191, 151.
Wright, G.: 1973,Monthly Notices Roy. Astron. Soc. 162, 339.
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Luyten, P.J. Dynamical stability of a self-gravitating rotating cylinder in a helical magnetic field. Astrophys Space Sci 153, 13–29 (1989). https://doi.org/10.1007/BF00643606
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DOI: https://doi.org/10.1007/BF00643606