Stochastic diffusion of interplanetary dust grains orbiting under Poynting-Robertson forces

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Fokker-Planck Equation, Interplanetary Dust, Interplanetary Magnetic Fields, Poynting-Robertson Effect, Stochastic Processes, Charged Particles, Mathematical Models, Perturbation Theory

Scientific paper

The effects of the fluctuating interplanetary magnetic field (IMF) on charged dust grains orbiting around the sun under radiation pressure and Poynting-Robertson drag forces are examined for general ecliptic and inclined orbits. The Fokker-Planck equation describing the evolution of the charged grain distribution function is reduced to a diffusion-type equation by adopting the constants of the impulse-free motion as variable parameters. The Fokker-Planck coefficients are expressed in terms of the power spectrum of the fluctuating IMF, choosing a relatively simple model of fluctuations superposed on the Parker spiral mean field. For the model, the covariance matrix elements reduce to integrals over the slowly-varying orbital parameters, giving simple algebraic solutions for circular orbits at arbitrary inclinations.

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