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The objective of the research has been to develop models of plasma processes in the earth's magnetosphere and ionosphere to understand processes responsible for auroral and magnetic phenomena. One major accomplishment has been the tentative identification of the process for generation of the electric potentials that accelerate auroral electrons. Another major accomplishment is a numerical model of auroral precipitation. The simulation indicate that anomalous resistivity plays little role in electron acceleration processes. The auroral simulation model indicates that the auroral beam may excite upper hybrid electrostatic waves, which may stochastically accelerate a portion of the electron beam to many tens of keV.