Cosmic-ray distribution in a solar wind with an ellipsoidal boundary

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Cosmic Rays, Particle Diffusion, Radiation Distribution, Solar Wind, Boundary Value Problems, Ellipsoids, Legendre Functions, Particle Flux Density

Scientific paper

The boundary-value problem for the cosmic-ray diffusion equation in a solar wind with an ellipsoidal boundary is solved for the case where the modulation region is characterized by a small departure from spherical symmetry. The solution is obtained as a series expansion in Legendre polynomials. The results indicate that, in comparison with the spherically symmetric case, the deformation of the modulation region leads to a larger cosmic-ray density gradient toward the tip of the ellipsoid that is closer to the sun and a smaller gradient toward the other tip.

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