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ELECTRON COLLECTION AT LARGE POTENTIALS
RIGOROUS DYNAMICAL BOUNDS ON CURRENT COLLECTION
ELECTRON COLLECTION AT SMALL POTENTIALS
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ambient analytic angular momentum appropriate equation area at infinity assumed axial axis bottle boundary position charge density collection area convergence coordinate Coulomb potential current characteristic current collection current of electrons cylindrical Debye length denotes density is given drift approximation drift theory earth's magnetic field ELECTRON COLLECTION electron-volts emitted equilibrium potential evaluated extrema field strength function given by Eq guiding center guiding-center highest peak i,j)-th grid point integrals intersect the sphere interval ionosphere large potentials Larmor radius magnetic field lines magnetic shell minimum velocity monotonically number of trajectories numerical oscillations particle densities particles moving plasma Poisson equation Poisson problem polar coordinate system poten potential distribution potential energy potential falls problem radii radius 1.5 meters Radius 150 cm right-hand-side of Eq satellite potential second-order solution of Eq space charge Sphere Radius 150 sphere surface spherical probe spherical satellite spherically symmetric statvolts Table tials vector velocity space vicinity volts