Helical wave and K-H instability in Type I comet tails. I - Waves of infinitesimal amplitude in incompressible plasma

Statistics – Computation

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Comet Tails, Helical Flow, Incompressible Fluids, Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Plasma Waves, Incompressible Boundary Layer, Kohoutek Comet, Mathematical Models, Plasma Cylinders, Plasma Density, Pulse Amplitude, Solar Wind, Wave Equations

Scientific paper

A model for helical waves observed in cometary tails is presented. A cylindrical shear transition layer with finite thickness and continuous variation of the magnetic field, velocity, and density is assumed to occur in the incompressible solar wind plasma and the tail. A boundary layer is assumed to exist between the tail and the solar wind flow, while each plasma is uniform, conducting, and incompressible, with the comet tail being a plasma cylinder. The basic MHD equations are formulated and all disturbances are taken as cylindrical waves. A WKB solution is found for the fundamental equations, including considerations of a singularity. Dispersion equations are subsequently derived for interfaces near and away from the singularity. Sample computations are performed for comet Kohoutek in the case where the interfaces are near the singularity.

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