Numerical solution of wave equations for the stability of the inner cometo-sheath

Astronomy and Astrophysics – Astrophysics

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Cometary Magnetospheres, Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Plasma Sheaths, Wave Equations, Boundary Value Problems, Brunt-Vaisala Frequency, Lorentz Force, Comets, Numerical Methods, Calculations, Stability, Magnetohydrodynamics, Waves, Parameters, Magnetic Field, Ionosphere, Halley, Giacobini-Zinner, Plasma, Pressure, Mass Loading, Neutral Particles, Production Rate, Drag, Comae, Ionopause, Perturbations, Wavelengths

Scientific paper

Numerical solution of the MHD wave equations for stability of the cometary sheath determined by the balance between the inward Lorentz body force and the outward ion-neutral drag force is obtained by using a two-point boundary value method. The eigenvalues and the eigenfunctions are obtained numerically by treating the cometary inner sheath as a layer of finite thickness, bounded by the contact surface, i.e., the diamagnetic cavity boundary. The magnetic field structure discovered in the ionosphere of Comets Halley and Giacobini-Zinner is found to be unstable. The effects of finite plasma pressure, dissociative recombination, and mass loading due to photoionization are found to be stabilizing but are unable to quench the instability completely. It is also found that the higher the neutral production rate the lesser is the growth rate for the instability.

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