Abstract
A simple and robust method of reconstruction of the geomagnetically trapped proton fluxes detected with the PAMELA spectrometer is proposed. Instead of multiple calculations of the effective area for different pitch-angles and different orientations of the instrument relative to the geomagnetic field vector, a value of an effective geometrical factor (GF) is estimated using one simulation sample with additional information about the instrument’s orientation relative to the vector of the Earth magnetic field. In this procedure, the additivity of the geometrical factor for different parts of the instrument’s field of view (FOV) is used. The simulation data sample is obtained in a standard way using Monte Carlo calculations of the isotropic flux. The method was tested on the task of reconstruction of the angular distribution of the Galactic proton flux. The fluxes in the Earth’s Inner Radiation Belt (IRB) recovered with this method were compared with the measurements of the NOAA-17 experiment and showed a good agreement.
REFERENCES
R. S. Selesnick, M. D. Looper, and R. A. Mewaldt, Space Weather 5, 9503 (2007).
S. F. Singer, Phys. Rev. Lett. 1, 171 (1958).
M. K. Hudson, B. T. Kress, J. E. Mazur, K. L. Perry, and P. L. Slocum, J. Atmos. Sol. Terr. Phys. 66, 1389 (2004).
J. E. Mazur, J. B. Blake, P. L. Slocum, M. K. Hudson, and G. M. Mason, Solar Eruptions and Energetic Particles, Vol. 165 of Geophysical Monograph, Ed. by N. Gopalswamy, R. Mewaldt, and J. Torsti (AGU, Washington, 2006).
O. Adriani, G. C. Barbarino, G. A. Bazilevskaya, R. Bellotti, M. Boezio, E. A. Bogomolov, M. Bongi, V. Bonvicini, S. Bottai, A. Bruno, F. Cafagna, D. Campana, R. Carbone, P. Carlson, M. Casolino, G. Castellini, et al., Astrophys. J. 799, L4 (2015).
A. Bruno, M. Martucci, F. S. Cafagna, R. Sparvoli, O. Adriani, G. C. Barbarino, G. A. Bazilevskaya, R. Bellotti, M. Boezio, E. A. Bogomolov, M. Bongi, V. Bonvicini, D. Campana, P. Carlson, M. Casolino, G. Castellini, et al., Astrophys. J. 917, L21 (2021).
R. S. Selesnick, A. C. Cummings, J. R. Cummings, R. A. Mewaldt, and E. C. Stone, J. Geophys. Res. 100 (A6), 9503 (1995).
V. V. Malakhov and A. G. Mayorov, Bull. Russ. Acad. Sci.: Phys. 85, 386 (2021).
N. V. Kuznetsov and N. I. Nikolayeva, Cosmic. Res. 50, 13 (2012).
http://poes.ngdc.noaa.gov.
O. Adriani, G. C. Barbarino, G. A. Bazilevskaya, R. Bellotti, M. Boezio, E. A. Bogomolov, M. Bongi, V. Bonvicini, S. Bottai, A. Bruno, F. Cafagna, D. Campana, R. Carbone, P. Carlson, M. Casolino, G. Castellini, et al., Phys. Rev. 544, 323 (2014).
C. E. Mcllwain, Space Sci. Rev. 5, 585 (1966).
J. D. Sullivan, Nucl. Instrum. Methods Phys. Res. 95, 5 (1971).
A. Bruno, M. Martucci, F. S. Cafagna, R. Sparvoli, O. Adriani, G. C. Barbarino, G. A. Bazilevskaya, R. Bellotti, M. Boezio, E. A. Bogomolov, M. Bongi, V. Bonvicini, D. Campana, P. Carlson, M. Casolino, G. Castellini, et al., Astrophys. J. 919, L114 (2021).
H. M. Fischer, V. W. Auschrat, and G. Wibberenz, J. Geophys. Res. 82, 537 (1977).
M. Martucci, S. Bartocci, R. Battiston, W. J. Burger, D. Campana, L. Carfora, L. Conti, A. Contin, C. De Donato, C. De Santis, F. M. Follega, R. Iuppa, N. Marcelli, G. Masciantonio, M. Mergè, A. Oliva, et al., Phys. Rev. D 105, 062001 (2022).
J. G. Rederer, Dynamic of Radiation Trapped by Geomagnetic Field (MIR, Moscow, 1971).
Funding
This work was supported by the Russian Science Foundation, project no. 19-72-10161, https:// rscf.ru/en/project/19-72-10161/.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Malakhov, V.V., Leonov, A.A., Mayorov, A.G. et al. Calculation of Geomagnetically Trapped Proton Flux from the PAMELA Experimental Data. Phys. Atom. Nuclei 86, 1125–1132 (2023). https://doi.org/10.1134/S1063778824010356
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778824010356