by flux conservation. As has been discussed in the foregoing the perpendicular width of the beam is about one argon gyroradius [[spi:math]] Thus, considering (37) along with (34), the time constant [[spi:math]] is inversely porportional to the beam speed because the higher the beam speed the larger the perpendicular beam width and consequently the less beam momentum density is injected into each flux tube requiring less time for the ambient magnetospheric plasma to soak up the beam energy injected into the given flux tube. So, other things being equal, increasing the beam speed does not necessarily cause an increase in momentum transfer time because the corresponding increase in beam width implies that there is more magnetospheric plasma available to soak up the beam energy injected into a given flux tube. In FY 80 we have implemented the model of beam-magnetosphere interactions described in the foregoing, using a model of ambient plasmasphere (Chiu et al., 1979b). The detailed simulation results are summarized in Fig. 10. This figure contains the simulation results at two field lines: L=3 and L=4. The 28 (35) where Am is the argon mass. Invoking the concept of frozen-in field lines and the conservation of beam particle flux, we have [[spi:math]] (36) whereupon, [[spi:math]] (37)
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