Simulations of Solar Ion Motion in the Magnetosheath

Physics

Scientific paper

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2728 Magnetosheath, 2731 Magnetosphere: Outer, 2753 Numerical Modeling, 2784 Solar Wind/Magnetosphere Interactions

Scientific paper

We investigate the transport of representative solar-wind ions through the Earth's magnetosheath by tracing their trajectories. We use an analytical model, based on the draping of plasma streamlines and magnetic field lines around a conducting magnetopause that consists of a prolate ellipsoid, extending ~ 11 RE upstream and ~ 65 RE downstream from Earth, matched to a cylinder of radius ~ 28.4 RE. For a uniform but arbitrarily directed interplanetary magnetic field (IMF), the magnetosheath's magnetic field can be obtained by superposition of results for special cases in which the IMF is respectively parallel to and perpendicular to the solar-wind velocity. For the case in which the IMF is parallel to the solar-wind velocity, the magnetosheath's magnetic field is derivable from Euler potentials that can be expressed analytically as a function of ellipsoidal or cylindrical coordinates that scale inversely with the sixth root of solar-wind pressure. When the IMF is perpendicular to the solar-wind velocity, we can calculate the magnetosheath flow velocity from Bernoulli's equation and compute the time delay for the magnetosheath plasma to have traveled to any point of interest from the bow shock. Points along a magnetosheath field line are points of equal time delay from an upstream field line. Using the particle trajectories, we map phase space distributions in the magnetosheath from an upstream distribution. Taking moments of the phase space distributions, we compute simulated ion density, bulk velocity and temperature at various locations within the magnetosheath for simple IMF configurations.

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