Charged particle dynamics within the spherical wave field of a rotating magnetic dipole beyond the acceleration boundary

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Charged Particles, Gyromagnetism, Magnetic Dipoles, Particle Acceleration, Primary Cosmic Rays, Pulsars, Angular Momentum, Particle Motion, Spherical Waves

Scientific paper

The paper presents analytical calculations of the motion of a test article in the wave field of a rotating magnetic dipole or pulsar, respectively. A phase-averaged solution is derived with full consideration of the spherical character of the electromagnetic fields, and the range of validity of this approximation is discussed both numerically and analytically. If is found that for start radii beyond the so-called acceleration boundary the phase-averaged solution describes the dynamics of a charged test particle in the pulsar field very well. It is shown that radiation reaction as well as gravitation can be neglected against the effects caused by the spherical geometry of the electromagnetic fields: the corresponding terms absolutely dominate the equations of motion. The phase-averaged solutions are used to calculate an 'ejection boundary.' This boundary determines the spatial extent of the region around a pulsar into which charged particles cannot enter from the outside.

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