在本論文中，基於Zaharia et al. [2000]的古典電磁脈衝模型，我們使用一個相對論粒子運動模型以模擬副磁暴發生時同步軌道衛星觀測到的dispersionless energetic particle injection現象，並討論相對論效應對高能粒子傳輸的影響。在相對論模型中，粒子的飄移運動、緩漸不變量和粒子磁矩皆與古典模型[Zaharia et al., 2000]不同。與先前的古典模型[Zaharia et al., 2000]相比，我們的數值模擬結果與觀測資料較符合，而我們的結果也顯示在同步軌道發生的dispersionless energetic particle injection是被電磁脈衝由<10RE的位置傳輸而來的粒子所造成，與古典模型的結果(<9Re) [Zaharia et al., 2000]略為不同。我們也完成在 L=3.5 的電子流量模擬，討論不同的脈衝參數對於粒子傳輸的影響和電磁脈衝傳輸粒子至該處的可能性，以了解是否此電磁脈衝模型可應用於了解磁暴時，在 L=3.5 處高能粒子流量增加的可能性。模擬結果顯示當脈衝速度降低或脈衝經度之寬度增加時，將能傳輸更多粒子到 L=3.5 處。

In this study, based on a classical electromagnetic pulse model [Zaharia et al., 2000], we proposed a relativistic particle motion model to simulate dispersionless energetic particle injection observed by geosynchronous satellites associated with substorms, and discuss the relativistic effect on particle injection. In our relativistic particle motion model, the particle drift motion and the adiabatic invariant, particle magnetic moment, are different from the classical model [Zaharia et al., 2000]. Our numerical simulation results are in better agreement with the observation data in comparison with the previous results by Zaharia et al. [2000]. In particular, our results show that dispersionless energetic particle injection at geosynchronous orbit is due to the particles swept by the EM pulse from the distance less than 10Re, which is slightly longer than the previous result (<9Re) [Zaharia et al., 2000]. We had also performed numerical simulations to study energetic particle injection at L=3.5 to discuss the effect of different pulse parameters on particle injection. Our modeling results show that when the pulse velocity is reduced and the pulse longitudinal width is increased, more particles can be swept to L=3.5 to account for the observed enhancement of energetic particle fluxed during substorms.

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