as we have claimed in (52). Moreover, it follows from (53) that I wil never exceed [[spi:math]]. The mean value of I, averaged over a time interval of duration [[spi:math]], is given by [[spi:math]] (56) since |dP/dI0|dI0 is the probability of finding I between I0 and I0 + dI0. In other words, the factor |dP/dI0| in (56) represents the probability density of I. It follows from (55) and (56) that [[spi:math]] (57) This is the natural state of affairs. The intensity of relativistic electrons in the vicinity of the plasmapause fluctuates in time in such a way that (52) and (53) are satisfied. Suppose, however, that REP events are suppressed, by the addition of heavy ions to the plasmasphere, causing suppression of ion cyclotron waves. This magnetospheric modification corresponds to the limit [[spi:math]], whereupon [[spi:math]]. The mean radiation intensity has been enhanced by a factor [[spi:math]]. Thus, if [[spi:math]] = 20 days (corresponding to the annual occurrence of about 18 REP events), the intensity of 2-MeV electrons wil be enhanced by a factor ~ 2 (relative to its natural mean value) by the addition of major quantities of Ar+ or O+ to the plasmasphere. The mean intensity of 4- MeV electrons will be enhanced by a factor ~ 3. With the addition of heavy ions to the plasmasphere, the radiation intensity ceases to fluctuate between zero and [[spi:math]]; it approaches [[spi:math]] as a permanent condition of the modified envi55
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