General solution to the steady-state transport equation for cosmic rays through interplanetary space.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Rays:Interplanetary Space, Interplanetary Space:Cosmic Rays, Interplanetary Space:Solar Wind, Solar Wind:Interplanetary Space

Scientific paper

The non-spherically symmetric monoenergetic source solutions of Webb (1977) of the transport equation for cosmic rays in the interplanetary region has been extended to the more general case in which the solar wind velocity in the radial direction is assumed as a variable function of heliocentric radial distance r of the form: V = V0(r0/r)γ, where V0, r0, and γ are constants. These solutions are applicable for heliocentric radial magnetic field in which the effects of particle drifts can be neglected. The ratio of the normal to the parallel diffusion coefficients with respect to the mean field direction is assumed constant, and the parallel diffusion coefficient is given by K∥ = Ko(P)rb, where P is the particle momentum. Two cases are considered: Case (a) with b + γ ≠ 1, and Case (b) with b + γ = 1.

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