Abstract Sixteen variables describing the state of the magnetosphere are examined in the years 1991–2007; the sixteen variables include nine geomagnetic indices plus seven measures of electron and ion precipitation into the atmosphere, the rate of substorm occurrence, the pressure and number density of the ion plasma sheet, the flux of substorm-injected electrons, and the radiation-belt electron flux. Eight other variables are used to represent the properties of the solar wind at Earth. To estimate the time lags between magnetospheric and solar-wind variables bivariate (two-variable) linear correlations, multivariate linear correlations, and vector-vector correlations are utilized. Using bivariate correlation the lag time of each magnetospheric variable with respect to each solar-wind variable is varied to obtain the maximum correlation coefficient. Using multivariate linear correlations, the time series of each magnetospheric variable is correlated with a linear combination of the eight time series of the eight solar-wind variables, with eight independent lead times on the eight solar-wind variables optimized to produce the largest multivariate correlation coefficient. The resulting time lag between each magnetospheric variable and each solar-wind variable is then catalogued. Additionally, the solar-wind variables that most-strongly affect each of the 16 magnetospheric variables are noted. A similar process of optimizing lag times on magnetospheric variables is performed during vector-vector correlations between a 9-dimensional magnetospheric state vector and an 8-dimensional solar-wind state vector.

中文翻译：

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太阳风驱动地球磁层中地磁和等离子体时滞的调查

摘要 研究了 1991-2007 年间描述磁层状态的 16 个变量；这 16 个变量包括 9 个地磁指数和 7 个测量电子和离子进入大气层的量度、亚暴发生率、离子等离子体片的压力和数量密度、亚暴注入电子的通量和辐射带电子通量。其他八个变量用于表示地球上太阳风的特性。为了估计磁层和太阳风变量之间的时间滞后，使用了双变量（两变量）线性相关性、多元线性相关性和矢量-矢量相关性。使用双变量相关，每个磁层变量相对于每个太阳风变量的滞后时间是变化的，以获得最大的相关系数。使用多元线性相关，每个磁层变量的时间序列与八个太阳风变量的八个时间序列的线性组合相关，八个太阳风变量的八个独立提前时间经过优化以产生最大的多元相关系数。然后对每个磁层变量和每个太阳风变量之间产生的时间滞后进行编目。此外，还指出了对 16 个磁层变量中的每一个影响最大的太阳风变量。