Abstract—

Measurements of the differential fluxes of energetic electrons in the equatorial region of the magnetosphere in the energy range from units of keV to hundreds of keV carried out on Van Allen Probes make it possible to obtain the distribution function of electrons resonantly interacting with whistlers in the VLF range and to calculate the corresponding local growth rates (or increments) of the waves. The article presents the results of the reconstruction of the distribution function of energetic electrons, as well as the direct calculation of the wave increments without any model assumptions about the form of the distribution function. The data from the Van Allen Probe A satellite on electron fluxes in the energy range of 33–143 keV are used, and the dependence of the increment on frequency along the satellite path is calculated. The obtained increment values are compared with the spatial and temporal variations in VLF emissions detected by the satellite. An important feature of the calculated increments is their significant variation during the time between successive measurements of the fluxes, i.e., at times on the order of 11 s.

中文翻译：

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根据Van Allen探针A卫星上高能电子通量的测量，磁层中的惠斯勒增长率

摘要—

在Van Allen探针上测量磁层赤道区域能量能量从keV到数百keV的高能电子的微分通量，使得有可能获得电子与VLF中与吹口哨共振相互作用的分布函数。范围并计算波浪的相应局部增长率（或增量）。本文介绍了高能电子分布函数重构的结果，以及在不对分布函数形式进行任何模型假设的情况下直接计算波增量的结果。使用了Van Allen Probe A卫星提供的有关电子通量在33–143 keV能量范围内的数据，并计算了沿卫星路径的增量对频率的依赖性。将获得的增量值与卫星检测到的甚低频发射的时空变化进行比较。计算出的增量的一个重要特征是在连续测量磁通之间的时间内，即大约11 s的时间内，它们的显着变化。