地球辐射带高能电子通量增涨会对在轨航天系统产生重大威胁。径向扩散和波粒相互作用导致的局地加速被认为是高能电子最为主要的两种加速机制，然而目前对高能电子的研究着重于可测量空间(能量、投掷角、位置量)的通量变化，对如何区分和细化这两种机制在同一加速过程中的具体作用缺少系统研究。绝热不变量空间的分布函数（相空间密度）是区分这两种机制的有效手段。本项申请主要是利用科学卫星观测数据，研究将可观测空间变换至绝热不变量空间的计算方法，建立相应的相空间密度计算模型，分析微分通量拟合函数引入的相空间密度计算误差；融合多种地磁模型，深入分析不同地磁数据对想空间密度径向分布及变化特征计算结果的影响；结合能量电子和等离子体波同步观测数据，研究等离子体波的激发、增强与高能电子相空间密度变化特征的统计特性。

The relativistic electrons flux increase constitute a serious potential hazard to space-borne systems. Radial diffusion and local acceleration caused by wave-particle interaction are considered to be the main mechanisms of energetic electrons acceleration. However, the current studies on energetic electrons focus on the flux in the observation space (energy, pitch angle and position), and few attention is putted on how to distinguish and refine these mechanisms in the energetic electrons acceleration process. Distribution function of adiabatic invariant space (phase space density, PSD) is an effective method to distinguish radial diffusion from local acceleration. In this proposal, we shall utilize observation data of scientific satellites to transfer the observation space (energy, pitch angle and position) to the adiabatic invariant space, and establish the PSD calculation model. We shall study the calculation error caused by different fitting function of differential flux in this model, and analyze the influence of different geomagnetic model on the PSD radial distribution and variation characteristics. Combined with the synchronous observation data of seed electrons and plasma waves, we intend to investigate the statistical correlation features between the excitation and enhancement of waves and the PSD distribution of relativistic electrons.