[[spi:math]] (60) 65 [[spi:math]] , (58) and so the density N at a point (L, [[spi:math]]) is obtained from the conservation law [[spi:math]] (59) where a is the radius of the earth. The effect of the conical gas jet on the population of ring-current ions is proportional to the average density [[spi:math]] of gas around the drift shell, a path of constant L. Therefore, we evaluate It follows from the geometry of the problem that [[spi:math]] = 0 for L <= R cos [[spi:math]], where [[spi:math]] is the half-angle of the conical gas jet. For L >= R cos [[spi:math]] we solve (59) for N and obtain from (60) the result that [[spi:math]] [[spi:math]] The boundaries of the jet along the path of integration are given by [[spi:math]] (62) (61)
RkJQdWJsaXNoZXIy MTU5NjU0Mg==