Reanalysis of radiation belt electron phase space density using various boundary conditions and loss models

Abstract Data assimilation is becoming an increasingly important tool for understanding the near Earth hazardous radiation environments. Reanalysis of the radiation belts can be used to identify the electron acceleration mechanism and distinguish local acceleration from radial diffusion. However, for any practical applications we need to determine how reliable is reanalysis, and how significant is the dependence of the results on the assumptions of the code and choice of boundary conditions. We present the sensitivity of reanalysis of the radiation belt electron phase space density (PSD) to the assumed location of the outer boundary, using the VERB code and a Kalman filter. We analyze the sensitivity of reanalysis to changes in the electron-loss throughout the domain, and the sensitivity to the assumed boundary condition and its effect on the innovation vector. All the simulations presented in this study for all assumed loss models and boundary conditions, show that peaks in the phase space density of relativistic electrons build up between 4.5 and 6 R E during relativistic electron flux enhancements in the outer radiation belt. This clearly shows that peaks build up in the heart of the electron radiation belt independent of the assumptions in the model, and that local acceleration is operating there. The work here is also an important step toward performing reanalysis using observations from current and future missions.

[1]  Richard M. Thorne,et al.  Radial diffusion modeling with empirical lifetimes: comparison with CRRES observations , 2005 .

[2]  G. Reeves,et al.  Acceleration and loss of relativistic electrons during geomagnetic storms , 2003 .

[3]  Jay M. Albert,et al.  Radial diffusion analysis of outer radiation belt electrons during the October 9, 1990, magnetic storm , 2000 .

[4]  R. Thorne,et al.  Relativistic theory of wave‐particle resonant diffusion with application to electron acceleration in the magnetosphere , 1998 .

[5]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[6]  Carl-Gunne Fälthammar,et al.  Effects of time‐dependent electric fields on geomagnetically trapped radiation , 1965 .

[7]  Louis J. Lanzerotti,et al.  Particle Diffusion in the Radiation Belts , 1974 .

[8]  Yue Chen,et al.  Multisatellite determination of the relativistic electron phase space density at geosynchronous orbit: Methodology and results during geomagnetically quiet times , 2005 .

[9]  J. V. Osborn,et al.  CEPPAD: Comprehensive energetic particle and pitch angle distribution experiment on POLAR , 1995 .

[10]  R. Horne,et al.  Phase space density analysis of the outer radiation belt energetic electron dynamics , 2006 .

[11]  Richard M. Thorne,et al.  Outward radial diffusion driven by losses at magnetopause , 2006 .

[12]  J. A. Vrugt,et al.  Identifying the radiation belt source region by data assimilation , 2007 .

[13]  Frank R. Toffoletto,et al.  Radiation belt data assimilation with an extended Kalman filter , 2005 .

[14]  B. Ni,et al.  Timescales for radiation belt electron acceleration and loss due to resonant wave‐particle interactions: 2. Evaluation for VLF chorus, ELF hiss, and electromagnetic ion cyclotron waves , 2007 .

[15]  Michael Ghil,et al.  Reanalysis of relativistic radiation belt electron fluxes using CRRES satellite data, a radial diffusion model, and a Kalman filter , 2007 .

[16]  Michael Ghil,et al.  A Kalman filter technique to estimate relativistic electron lifetimes in the outer radiation belt , 2007 .

[17]  Richard B. Horne,et al.  Radiation Belt Environment model: Application to space weather nowcasting , 2008 .

[18]  Yuri Shprits,et al.  Review of modeling of losses and sources of relativistic electrons in the outer radiation belt II: Local acceleration and loss , 2008 .

[19]  Vassilis Angelopoulos,et al.  The THEMIS Mission , 2008 .

[20]  Y. Kasahara,et al.  Rebuilding process of the outer radiation belt during the 3 November 1993 magnetic storm: NOAA and Exos‐D observations , 2003 .

[21]  Yue Chen,et al.  Phase space density distributions of energetic electrons in the outer radiation belt during two Geospace Environment Modeling Inner Magnetosphere/Storms selected storms , 2006 .

[22]  Yuri Shprits,et al.  Review of modeling of losses and sources of relativistic electrons in the outer radiation belt I: Radial transport , 2008 .

[23]  Juan G. Roederer,et al.  Dynamics of Geomagnetically Trapped Radiation , 1970 .

[24]  Richard M. Thorne,et al.  Acceleration mechanism responsible for the formation of the new radiation belt during the 2003 Halloween solar storm , 2006 .

[25]  Umran S. Inan,et al.  Wave acceleration of electrons in the Van Allen radiation belts , 2005, Nature.

[26]  Richard M. Thorne,et al.  Potential waves for relativistic electron scattering and stochastic acceleration during magnetic storms , 1998 .

[27]  Richard M. Thorne,et al.  Time dependent radial diffusion modeling of relativistic electrons with realistic loss rates , 2004 .

[28]  B. Ni,et al.  Reanalysis of relativistic radiation belt electron phase space density using multisatellite observations: Sensitivity to empirical magnetic field models , 2009 .

[29]  G. Reeves Using LOS Alamos Geosynchronous Energetic Particle Data in Support of Other Satellite Missions , 1997 .

[30]  Eugenia Kalnay,et al.  Atmospheric Modeling, Data Assimilation and Predictability , 2002 .

[31]  Yuri Shprits,et al.  Three‐dimensional modeling of the radiation belts using the Versatile Electron Radiation Belt (VERB) code , 2009 .

[32]  S. Bourdarie,et al.  Intercalibration of magnetospheric energetic electron data , 2005 .

[33]  David P. Stern,et al.  Modeling the global magnetic field of the large‐scale Birkeland current systems , 1996 .

[34]  Charles C. Goodrich,et al.  Increase in relativistic electron flux in the inner magnetosphere: ULF wave mode structure , 2000 .

[35]  Xinlin Li,et al.  On phase space density radial gradients of Earth's outer-belt electrons prior to sudden solar wind pressure enhancements: Results from distinctive events and a superposed epoch analysis , 2010 .

[36]  R. Thorne,et al.  Review of radiation belt relativistic electron losses , 2007 .

[37]  Justin C. Kasper,et al.  Storm‐time distortion of the inner magnetosphere: How severe can it get? , 2003 .

[38]  R. Anderson,et al.  An ISEE/Whistler model of equatorial electron density in the magnetosphere , 1992 .

[39]  M. Kivelson,et al.  Relativistic electrons in the outer radiation belt: Differentiating between acceleration mechanisms , 2004 .

[40]  Richard M. Thorne,et al.  Reanalyses of the radiation belt electron phase space density using nearly equatorial CRRES and polar‐orbiting Akebono satellite observations , 2009 .

[41]  J. Allen,et al.  Radiation Around the Earth to a Radial Distance of 107,400 km. , 1959, Nature.