Slot Region Radiation Environment Models

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1 Slot Region Radiation Environment Models I. Sandberg, I.A. Daglis (IAASARS/NOA, Phys/UoA) D. Heynderickx (DHConsultancy) H. Evans, P. Nieminen (ESA/ESTEC) ESTEC/CONTRACT No (ESTEC/ITT AO/1 6700/11/NL/AT)

2 Outline Background Model characteristics The datasets SRREM model Examples Conclusions

3 Earth Radiation Belts SLOT REGION SLOT REGION A radiation belt is a population of energetic particles stably trapped by the magnetic field.

4 Trapped particles J B. ds A. dl 3 J 1 p 2qB 1 1 J 2 p ds 1 B Bm. ds 2 2 Timescale: gyro-motion bounce period drift motion Electrons (1 Mev): 7 s (r = 0.3km) 0.1s 50 min. Protons (1 Mev): 4ms (r = 10km) 2.0s 30 min.

5 Formation of the Slot Region Standard picture: Whistler turbulence is responsible for formation of the slot region: in this range of L values the amplification of the spectrum due to wave particle resonance and wave accumulation causes the strongest pitch angle diffusion and thus the shortest life times. L [R E ] : the distance from the center of the magnetic dipole to the equatorial point of the field line.

6 NOOA/POES: &

7 The Slot Region Radiation Environment Models () are data based statistical models, that describe the particle radiation induced by high energy trapped charged particles in radiation belt slot region for user defined satellite orbit and space weather conditions.

8 input output Input Mission orbit file Trapped particle [Space weather conditions] e SRREM Output Cumulative distribution functions of trapped particle omnidirectional fluxes [particle/cm2/sec/mev/str] for different averaging times [The mean and variance of trapped, radiation differential flux and worst case values for different dynamic scenarios] (similar outputs for integral fluxes and for mission fluence)

9 Build SRREM database: workflow

10 SRREM Datasets SPACECRAFT CRRES DEMETER GIOVE-B INTEGRAL POLAR PROBA1 XMM SAMPEX AZUR Orbit GTO LEO MEO HEO PEO LEO HEO LEO LEO Period Perig x Apog [Km] Incl. Coverage 2h 305 x ,40 h ,1 h h x ,5 h 7500 x min 570 x h 7400 x min 520 x h 384 x Instrum MEA IDP SREM SREM CEPPAD SREM ERMD PET EI-88

11 Datasets coverage INTEGRAL GIOVEB XMM

12 Map data on grid For each dataset, we extract and map the omni directional differential fluxes on a numerical grid defined by the Roederer L parameter and the equatorial pitch angle geo magnetic coordinates. (L*, α Εq ) = (B eq R E2 /J 3, B eq /B m ) The data on each grid bin are time (1 day) averaged & the following variables are retained: the average: μ it, the standard deviation: σ it, and the integration time: τ it,

13 Daily averaged FEDO series

14 SRREM time series Energy re bin data through piece wise interpolation Calibrate re binned data using CRRES/MEA dataset Merge all re binned and calibrated datasets using as weighting factor the total integration (measurement) time on each grid bin and time window. Derive the weighted average μ it, the standard deviation σ it and total measurement time τ it for the resulted time series (SRREM series) Calculate histograms for each bin of grid using the series of μ i and μ i +σ i.

15 e SRREM database

16 Dependence on averaging times

17 Run SRREM : workflow

18 Run for satellite orbit The user defined orbit is mapped on coordinates: (L i *, α Eq k ) Create a weighted sum of the histograms of SRREM bins the orbit crosses with weighting factor the time the satellite spends on each bin The resulting histogram is used to calculate the cumulative distribution function for the whole orbit

19 Different averaging times Var(μ) std t ave

20 Conclusions Anewdata based statistical tool for the modeling of the Slot Region Radiation Environment has been developed outputs provide significant information to scientists. model developers and satellite mission designers/operators The construction and the update of SRREM database is automated while new datasets can be easily ingested can be easily extended to cover the whole RB region After the completion of independent validation studies will become available through ESA Space Environment Information System

21

22 e SRREM: model characteristics Magnetic coordinates: L* and α eq (IRBEM lib) 30 linear bins for the range of L*=[1 6] 27 bins for the range of α eq =0 π/2 7 log bins for E e =0.1 7 MeV 300 log bins for histograms

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