radiation measurements with liulin-mo dosimeter of frend...

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Radiation measurements with Liulin-MO dosimeter of FREND instrument aboard ExoMars Trace Gas Orbiter during cruise to Mars and on Mars orbit Victor Benghin 1 , Jordanka Semkova 2 , Igor Mitrofanov 3 , Lev Zelenyi 3 , Alexey Malahov 3 , Rositza Koleva 2 , Vyacheslav Shurshakov 1 , Tsvetan Dachev 2 , Yuri Matviichuk 2 , Borislav Tomov 2 , Stephan Maltchev 2 , Plamen Dimitrov 2 , Krasimir Krastev 2 , Dmitry Golovin 3 , Maxim Mokrousov 3 , Anton Sanin 3 , Maxim Litvak 3 , Andrey Kozyrev 3 , Vladislav Tretyakov 3 , Sergey Nikiforov 3 , Andrey Vostrukhin 3 , Natalia Grebennikova 3 , Sergey Drobyshev 1 . 1 Institute of Biomedical Problems, Russian Academy of Sciences 2 Space Research and Technologies Institute-BAS; 3 Space Research Institute, Russian Academy of Sciences. The 23 rd annual WRMISS, Tsurugo, Japan, September 6, 2018

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Page 1: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Radiation measurements with Liulin-MO dosimeter of FREND instrument aboard ExoMars Trace Gas Orbiter during cruise to Mars and on Mars orbit

Victor Benghin1, Jordanka Semkova2, Igor Mitrofanov3, Lev Zelenyi3, Alexey Malahov3, Rositza Koleva2, Vyacheslav Shurshakov1, Tsvetan Dachev2, Yuri Matviichuk2, Borislav Tomov2, Stephan Maltchev2, Plamen Dimitrov2, Krasimir Krastev2, Dmitry Golovin3, Maxim Mokrousov3, Anton Sanin3, Maxim Litvak3, Andrey Kozyrev3, Vladislav Tretyakov3, Sergey Nikiforov3, Andrey Vostrukhin3, Natalia Grebennikova3, Sergey Drobyshev1 . 1 Institute of Biomedical Problems, Russian Academy of Sciences

2 Space Research and Technologies Institute-BAS; 3 Space Research Institute, Russian Academy of Sciences.

The 23rd annual WRMISS, Tsurugo, Japan, September 6, 2018

Page 2: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Presentation outline • A few slides from our previous presentation

on WRMISS 22 • Martian shadowing influence on flux and

dose rate • Estimation of deep space flux and dose rate

based on low orbit Liulin-MO data and comparison with estimations based on GCR models

• Conclusion

Page 3: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Galactic Cosmic Ray models

• The Badhwar–O’Neill GCR model. O’Neill, P.M. Badhwar–O’Neill 2010 galactic cosmic ray flux model— Revised. IEEE Transactions on Nuclear Science 57 (6), 3148–3153, 2010.

• International standard ISO/DIS 15390 ISO 15390. Space environment (natural and artificial) – galactic cosmic ray model, 2004.

• SINP-2017 GCR model

Page 4: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

0

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25

1.4.2016 1.6.2016 1.8.2016 1.10.2016 1.12.2016 31.1.2017

TotDB

TotDD

TotDB orbit

TotDD orbit

Kuz_TGO

Kuz_Earth

ISO_Earth

Kuz_Earth,W=0

ISO_Earth,W=0

0,0

0,5

1,0

1,5

2,0

2,5

3,0

3,5

4,0

1.4.2016 1.6.2016 1.8.2016 1.10.2016 1.12.2016 31.1.2017

TotFB

TotFD

TotFB

TotFD

Kuz_TGO

Kuz_Earth

ISO_Earth

Kuz_Earth,W=0

ISO_Earth,W=0

Comparison of measured and calculated fluxes and dose rates Dose rate, mkGy/h

Flux, # cm-2 s-1

Estimation for real Solar activity level.

To achieve a satisfactory agreement between estimations and measurements, we set the Solar activity level to zero.

Estimation for zero Solar activity level.

Advances in Space Research 51 (2013) 825–834

“Based on the BON2010 model, the absorbed dose … are estimated to range from 0.14 to 0.38 mGy/d “ 0.38 mGy/d -> 15,8 μGy/h

Page 5: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Solar activity and NM count rate since January 2016 Solar activity

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01.03.2016 30.06.2016 30.10.2016 01.03.2017 01.07.2017 31.10.2017 01.03.2018 01.07.2018

Date

Wol

fnum

ber

OULU NM count rate

100

102

104

106

108

110

112

114

116

01.03.2016 30.06.2016 30.10.2016 01.03.2017 01.07.2017 31.10.2017 01.03.2018 01.07.2018

Cou

nt/c

We acknowledge the NMDB database (www.nmdb.eu), founded under the European Union's FP7 programme (contract no. 213007) for providing NM data.

Credit by: SILSO data/image, Royal Observatory of Belgium, Brussels

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1.4.2018 1.5.2018 1.6.2018 1.7.2018 1.8.2018

Date

Dos

e ra

te, m

kGy/

h

Dose rate A&B

Dose rate C&D

Since April 16, 2018/ TGO Mars Science Orbit

Page 6: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Liulin-MO data in Mars high elliptic orbit (MCO1)

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7:12:00 7:48:00 8:24:00 9:00:00 9:36:00 10:12:00 10:48:00 11:24:00

Время

Вы

срта

, км

0,0

0,5

1,0

1,5

2,0

2,5

3,0

3,5

4,0

4,5

7:12:00 7:48:00 8:24:00 9:00:00 9:36:00 10:12:00 10:48:00 11:24:00

Время

Пло

тнос

ть п

оток

а

A&B Flux

C&D Flux

The particle flux near the Martian pericenter

Altitude above Mars

Page 7: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Mars shadow effect estimation

Part of the TGO solid angle not shadowed by Mars calculated as:

η =[1 + cos(Θ)]/2 (1) Part of the flux recorded when detector “looks” to nadir: Η =[1 + cos2(Θ)]/2 (2) Part of the flux recorded when detector “looks” in horizontal direction:

( )( )

−•−=

2

0

2

1arcsin11

DRm

dDRm

νν

ν

πη

Denotations: RM – Martian radius; D – Distance between TGO and Martian centrum; Θ –Half of the shadow angle.

(3)

Page 8: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Data for the Martian pericenter November 1 2016

Altitude

η - Calculated part of recorded parameter

Flux Points – measured data, Curves – smoothed values

Dose rate Points – measured data, Curves – smoothed values

Results of correction: flux or dose rate divided by η

Page 9: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

FREND with Liulin-MO

FREND instrument with Liulin-MO Credit: ESA/Roscosmos/FREND/IKI .

FREND on TGO

Page 10: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Liulin –MO description

Each pair of the dosimetric telescopes consists of two Si PIN photodiodes. The distance between the parallel Si PIN photodiodes is 20.8 mm. Liulin-MO provides data for the dose rates D, particle fluxes F, LET spectra, radiation quality factor Q, and dose equivalent rates H in 2 perpendicular directions.

Page 11: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

The SPICE system was used to estimate detectors shadowing by Mars

https://www.cosmos.esa.int/web/spice/spice-for-exomars-2016

Page 12: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

The angles between the detector’s axis and the direction to Mars during

pericenter crossing on November 1, 2016. Altitude above Mars, km

Angle for D, C detectors

Angle for B, A detectors

Page 13: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate during the pericenter crossing 2016-11-01

Page 14: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate during the pericenter crossing 2016-12-05

Page 15: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Flux and dose rate during MCO1 (November 01, 2016 - January 17, 2017)

Available data for 18 pericenter crossings.

The black points – results of measurements. Green curve – smoothed data

Page 16: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Flux and dose rate during MCO2 (February 24, 2017 - March 07, 2017)

Available data for 6 pericenter crossings.

Page 17: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate during the pericenter crossing 2017-02-25

Page 18: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate during the pericenter crossing 2017-02-26

Page 19: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate during the pericenter crossing 2017-03-06

Page 20: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Corrected flux values are overestimated systematically.

• How to account for the albedo contribution when we estimate the deep space flux using orbital data? – Our suggestions is to fit curves replacing altitude with altitude multiplied by the allowance factor when η value is calculated

Why? - Our opinion is that this surplus is caused by albedo flux from Mars

Page 21: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate for altitude multiplication by 1.0 2017-02-25

Page 22: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate for altitude multiplication by 1.5 2017-02-25

Page 23: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate for altitude multiplication by 2.0 2017-02-25

Page 24: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Correction of flux and dose rate for altitude multiplication by 3.0 2017-02-25

Page 25: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

How to choose the multiplication factor?

We had used as such metewand a scatter of points around the mean value described by dispersion.

For the first cause the dispersion value is 0.27, for the second one - 0.20. (Pericenter crossing Nov. 9 2016)

We need some formal metewand to fit the multiplication factor.

Page 26: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Dependence of the dispersion value on the fitting coefficient of the altitude correction for the flux points

It seems that 2 - 2.5 value for coefficient of altitude correction does not contradict to these curves.

MCO 1 MCO 2

Page 27: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Dependence of the dispersion value on the fitting coefficient of the altitude correction for dose rate points For A&B detectors For C&D detectors

We choose 2.5 as the value for coefficient of altitude correction.

Page 28: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Estimation of the effective shadow coefficient for low circular Mars orbit.

For a circular orbit at an altitude of 390 – 430 km taking into account the selected correction factor, the effective height is about 1000 km.

We obtained the parameter η estimations of 0.88 and 0.82 for flux and dose rate respectively.

The difference in the fraction of unshaded flux for the actual and effective height gives estimates of the albedo radiation.

Page 29: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

The fluxes and dose rates for deep space estimated by Liulin-MO date

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1.4.2016 1.7.2016 30.9.2016 30.12.2016

1.4.2017 1.7.2017 30.9.2017 31.12.2017

1.4.2018 1.7.2018

Date

Dos

e ra

te, m

kGy/

h

Dose rate A&B

Dose rate C&D

0,0

0,5

1,0

1,5

2,0

2,5

3,0

3,5

4,0

1.4.2016 1.7.2016 30.9.2016 30.12.2016

1.4.2017 1.7.2017 30.9.2017 31.12.2017

1.4.2018 1.7.2018

Date

Flux

, par

ticle

s/cm

2 s

Flux A&B

Flux C&D

The flux for deep space. Values for 2018 divided by a factor of 0.88

The dose rate for deep space. Values for 2018 divided by a factor of 0.82

Page 30: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Comparison of measured and calculated fluxes and dose rates

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1.4.2016 1.7.2016 30.9.2016 30.12.2016

1.4.2017 1.7.2017 30.9.2017 31.12.2017

1.4.2018 1.7.2018

Date

Dos

e ra

te, m

kGy/

h

Dose rate A&B

Dose rate C&D

Dose_rate_ISO model

Dose_rate_Kuznetsov model

0,0

0,5

1,0

1,5

2,0

2,5

3,0

3,5

4,0

1.4.2016 1.7.2016 30.9.2016 30.12.2016

1.4.2017 1.7.2017 30.9.2017 31.12.2017

1.4.2018 1.7.2018

Date

Flux

, par

ticle

s/cm

2 s

Flux A&B

Flux C&D

Flux_ISO model

Flux_Kuznetsov model

The corrected data were compared with the calculated estimates of the flux and dose rate based on the ISO and SINP-2017 (Kuznetsov) models (Calculations were made for an aluminum shielding 10 g/cm2).

The OULU neutron monitor count rate

Page 31: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Spectra comparison for November-December 2016 and May 2018.

Detector B Detector D

0,1

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mou

nth

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May 2018

Feb-March 2017

Nov-Dec 2016

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0,0 0,2 0,4 0,6 0,8 1,0 1,2 1,4 1,6Energy deposition, MeV

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mou

nth

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May 2018

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Nov-Dec 2016

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nts/

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nth

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Nov-Dec 2016

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Cou

nts/

mou

nth

June 2018

May 2018

Feb-March 2017

Nov-Dec 2016

Page 32: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Ratio of counts in energy deposition spectra channels between November-December 2016 and May 2018

Detector B Detector D

0,70

0,75

0,80

0,85

0,90

0,95

1,00

1 11 21 31 41 51 61 71 81 91 101

111

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151

161

171

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201

211

0,70

0,75

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1,00

1 11 21 31 41 51 61 71 81 91 101

111

121

131

141

151

161

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Page 33: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Short decreasing of fluxes on Mars’ circular orbit

Page 34: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Conclusion • Method of flux and dose rate data conversion from

a low circular orbit around Mars to values in unshadowed Mars space is developed.

• The comparison between the data obtained by this method and the results of calculations based on the ISO and SINP-2017 (Kuznetsov) GCR models gives a satisfactory agreement of the calculated estimates with the measurements.

• The presence of an additional flux of particles at low altitudes near Mars, which is interpreted as albedo radiation, is noted. The preliminary assessment of albedo particles flux is about 10%.

Page 35: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Thank you for your attention!

Page 36: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Shielding function for point located between the detectors "Liulin-MO"

1.E-04

1.E-03

1.E-02

1.E-01

1.E+00

1.E+01

0 1 10 100h, г/см2

P, см2/г

1.E-04

1.E-03

1.E-02

1.E-01

1.E+00

1.E+01

0 1 10 100h, г/см2

P, см2/г

Shielding with elements of the "Liulin-MO“ dosimeter

Shielding with "Liulin-MO" and "FREND" elements

Page 37: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Dose and particle spectra beyond shielding

( ) ( )E

dED E E dEdx

= ϕ∫

Where: - particles spectra in the point of interest;

- particle energy losses (the stopping power S)

The stopping power S is adequately described by the Bethe-Bloch formula. The range of the ion is evaluated from the stopping power as:

The simplest way to evaluate particles spectra beyond shielding – to calculate them with R(E) relation. But it isn’t take into account nuclear collisions.

NASA has developed a Boltzmann equation approach for HZE nuclei transport that treat the atomic and nuclear collisions denoted as the HZETRN code https://oltaris.larc.nasa.gov/projects/5219/qsubs/23483

Page 38: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Calculations with Badhwar–O’Neill Galactic cosmic ray model were made by Nikolay Kuznetsov from Moscow state university using OLTARIS tool.

The OLTARIS tool was used also for flux and dose calculation with NASA HZETRN particle transport code

Page 39: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Calculation Fe-56 spectra beyond shielding

0

0,01

0,02

0,03

0,04

0,05

0,06

0,01 0,1 1 10 100 1000 10000 100000Energy, MeV/nucleon

Part

icle

/(sm

^2 *

day

* M

eV/n

ucl)

X=0

X=1

X=2

X=3

X=5

X=7

X=10

X=15

X=20

0

0,01

0,02

0,03

0,04

0,05

0,06

0,01 0,1 1 10 100 1000 10000 100000Energy, MeV/nucleon

Part

icle

/(sm

^2 *

day

* M

eV/n

ucl)

X=0

X=1

X=2

X=3

X=5

X=7

X=10

X=15

X=20

Calculation Fe-56 spectra with R(E) relation

Calculation Fe-56 spectra with NASA Oltaris site

The both case were used the same ISO 15390 spectra for March 2013 year.

Page 40: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

Calculation proton and He-4 spectra beyond shielding

0

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0,01 0,1 1 10 100 1000 10000 100000Energy, MeV/nucleon

Part

icle

/(sm

^2 *

day

* M

eV/n

ucl)

X=0

X=1

X=2

X=3

X=5

X=7

X=10

X=15

X=20

0

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0,01 0,1 1 10 100 1000 10000 100000Energy, MeV/nucleon

Part

icle

/(sm

^2 *

day

* M

eV/n

ucl)

X=0

X=1

X=2

X=3

X=5

X=7

X=10

X=15

X=20

0

2

4

6

8

10

12

14

16

18

20

0,01 0,1 1 10 100 1000 10000 100000Energy, MeV/nucleon

Part

icle

/(sm

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day

* M

eV/n

ucl)

X=0

X=1

X=2

X=3

X=5

X=7

X=10

X=15

X=20

0

2

4

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8

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16

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0,01 0,1 1 10 100 1000 10000 100000Energy, MeV/nucleon

Part

icle

/(sm

^2 *

day

* M

eV/n

ucl)

X=0

X=1

X=2

X=3

X=5

X=7

X=10

X=15

X=20

He-4

Protons Calculation with R(E) relation Calculation with NASA Oltaris site

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Comparison of R-E approximation and Oltaris results Daily flux

0

50000

100000

150000

200000

250000

300000

350000

0 2 4 6 8 10 12 14 16 18 20Shielding thickness, g/sq. centimetre

Part

icle

/sm

^2 d

ay

Oltaris

R-E approx.

Daily dose

0,00

0,05

0,10

0,15

0,20

0,25

0 5 10 15 20Shielding thickness, g/sq. centimetre

mG

y/da

y Oltaris

R-E approx.

Ratio of R-E to Oltaris estimations

0,0

0,1

0,2

0,3

0,4

0,5

0,6

0,7

0,8

0,9

1,0

0 2 4 6 8 10 12 14 16 18 20Shielding thickness, g/sq. centimetre

Flux

Dose

Dose per one charged particle

0,0

0,1

0,2

0,3

0,4

0,5

0,6

0,7

0,8

0,9

0 5 10 15 20Shielding thickness, g/sq. centimetre

nano

Gy/

(par

ticle

/sm

^2)

Oltaris

R-E approx.

Page 42: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

The Badhwar–O’Neill Galactic cosmic ray model brief description

Where: j0 is the local interstellar spectrum ϕ - the deceleration potential

where E and E0 are, respectively, the particle kinetic and rest energy and/or nucleon, and δ; γ, and j0 are the fitting parameters for each charge group.

where rB is the radial extent of the heliosphere, k is the diffusion coefficient, and Vw is the solar wind velocity.

Page 43: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

ISO 15390 galactic cosmic ray model brief description

GCR particle rigidity spectra (s.m2.sr.GV)-1 for particles of rigidity R at moment t are calculated as

( )Φ i R t,

Φ i R,t( ) =Ci × β α i

Rγ i×

RR + Ro R,t( )

∆ i R ,t( )

where is a dimensionless parameter calculated as ( )∆ i R t,

∆ i R,t( ) = 5.5 +1.13Zi

ZiM W,n( )×

βRRo R,t( )

exp −βR

Ro R,t( )

The lag, , of GCR flux variations relative to solar activity variations ( )∆T n R t, ,

∆T R,n,t( ) = 0.5 T+ + T− R( )[ ]+ 0.5 T+ − T− R( )[ ]× τ(W)

R0 W t −∆t n,R,t( )[ ]{ }= 0.37 + 3×10−4 ×W 1.45 t −∆t n,R,t( )[ ]

Page 44: Radiation measurements with Liulin-MO dosimeter of FREND ...wrmiss.org/workshops/twentythird/Benghin.pdf · Malahov 3, Rositza 2Koleva 2, Vyacheslav Shurshakov 1, Tsvetan Dachev ,

SINP-2017 galactic cosmic ray model brief description

N.V. Kuznetsov, Н. Popova, M.I. Panasyuk. Galactic Cosmic Ray Flux Prediction for Furure Space Missions. – Bulletin of the Russian Academy of Sciences: Physics, 2017, v.81, No 2, pp.199-202. (in Russian)

The formula for calculating the particle flux F(z)(E,t) for any time t and over the entire range of energy E can be represented as

where is a function depending on energy E as well as time t. We will call the "deceleration function".

where is a deceleration potential (in MeV/nucleon) depending on time t.