Theory of diffusion of meteor trains in the geomagnetic field

Mathematics

Scientific paper

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Diffusion Coefficient, Geomagnetism, Magnetic Effects, Meteor Trails, Meteoroid Showers, Radar Echoes, Magnetic Field Configurations, Mathematical Models, Plasma Density, Plasma-Particle Interactions, Radio Meteors

Scientific paper

A closed form solution is presented of the problem of the diffusion of a meteor train in the geomagnetic field from an initial line density. Results show that for heights of 95 km and above, the diffusion is severely inhibited by the field if theta, the angle between the train axis and the field lines, is close to zero. This effect diminishes very rapidly as theta is increased to about 2 deg. However, while the effective diffusion coefficient in the plane of train and field then remains close to the zero field ambipolar value right up to 90 deg, the effective coefficient in the direction of the normal to the plane of train and field drops steadily to its theta = 0 value at theta = 90 deg. Even for a height as low as 95 km, the magnetic field can reduce the diffusion in the normal direction by a factor of two below the zero field value. This corresponds to a change of almost 5 km in diffusion height, that is, the height of an underdense meteor estimated on the basis of the exponential decay of its radar echo.

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