Direct data assimilation over solar cycle time-scales to improve proton radiation belts models

A new approach for accurately restoring the dynamics of the electron radiation belts has already been developed and proved its worth. Here we present its adaptation to the case of proton radiation belts at solar cycle time-scale. Many deficiencies of AP8 models can be overcome thanks to direct data assimilation. An anticorrelation between the <10 MeV protons radiation belts and solar activity is put forward. However, the definition of only an average state for solar minimum and solar maximum seems to be insufficient to respond to the need of precision required by the reanalysis of >10 MeV protons radiation belts. Point-like but intense events can have long time effects which depend on whether a SPE (solar proton event) is associated or not with this storm period.