Toward a comprehensive theory for the sweeping of trapped radiation by inert orbiting matter

Mathematics – Probability

Scientific paper

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Natural Satellites, Planetary Rings, Radiation Absorption, Radiation Belts, Particle Motion, Planetary Magnetic Fields, Probability Theory

Scientific paper

There is a need to calculate loss rates when trapped Van Allen radiation encounters inert orbiting material such as planetary rings and satellites. An analytic expression for the probability of a hit in a bounce encounter is available for all cases where the absorber is spherical and the particles are gyrotropically distributed on a cylindrical flux tube. The hit probability is a function of the particle's pitch angle, the size of the absorber, and the distance between the flux tube and the absorber when distances are scaled to the gyroradius of a particle moving perpendicular to the magnetic field. Using this expression, hit probabilities in drift encounters were computed for all regimes of particle energies and absorber sizes.

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