This work is supported by the National Natural Science Foundation of China Grants 41974212, 42274212, 42230209, the Natural Science Foundation of Hunan province Grants 2021JJ20010, 2023JJ20038, the science and technology innovation Program of Hunan Province Grant 2021RC3098. The authors are thankful to the Van Allen Probe scientific instrument teams for making their data available to the public and acknowledge K. Rönnmark for the use of WHAMP code.