[[spi:math]] (63) The expression for [[spi:math]] is obviously singular as L[[spi:math]]R because of the assumed sche- matic l/r2 dependence of the jet density, but this singularity is not as bad as it looks. Since the gravitational and magnetic centers of the earth are in fact offset by 0.07 a (earth radii), it is reasonable to replace |r2-L2| with 0.14R2 even as L[[spi:math]]R in the expressions for [[spi:math]]min and [[spi:math]]max . On doing this one obtains [[spi:math]] An appropriate estimate of the width of the jet according to Section II.B is [[spi:math]] (65) with t given in seconds and the exhaust speed u sin [[spi:math]] 5 x 104 cm/sec. Further, the schematic jet density is thus N(t) [[spi:math]] 1013/t2 atoms/cm3 as an average over the volume [[spi:math]]. However, the total content is [[spi:math]]t. Thus, we find that atoms/sec (66) as the emission rate. It follows that 66 (64) [[spi:math]]
RkJQdWJsaXNoZXIy MTU5NjU0Mg==