The interaction of a high-voltage element with the ionospheric plasma at LEO altitudes is an area of current interest because of the anticipated use of high-voltage power sources on future space platforms. Depending on the current collection characteristics, an exposed high-voltage element can lead to power losses or arcing. In an effort to elucidate high-voltage current collection characteristics, there is an ongoing series of rocket and laboratory experiments involving the interaction of high-voltage spheres with an ambient plasma. In support of this effort, we solved the time-dependent, three-dimensional, nonlinear fluid equations for ions and electrons and the Poisson equation in order to study the initial response of a partially-ionized, magnetized plasma to positive high-voltage spheres. Our emphasis was on the effect that collisions and impact ionization have on the sphere-plasma interaction. Different neutral densities (10 11–10 14 cm −3), species (Ar, Ba, O, N 2), and magnetic field strengths were considered. Our simulations indicate that a rapidly rotating electron density torus tends to form around a high-voltage sphere embedded in magnetized partially-ionized plasma. Since the electrons orbit the sphere before striking it, the high toroidal density and long travel time lead to enhanced collisional and ionization rates (relative to the no B -field case), which act to modify the torus, sheath, and current collection characteristics. The high toroidal density and long travel time also reduce the neutral density (pressure) requirement for a discharge, by an order of magnitude. Depending on the applied voltage, neutral gas pressure, and magnetic field, we obtained steady toroidal configurations both with and without ionization, a toroidal discharge, and a spherical discharge. These results are in qualitative agreement with measurements.
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