Solar-Terrestrial Physics Solar-Terrestrial Physics Solar-Terrestrial Physics 2500-0535 23012 10.12737/stp-43201810 Results of current research Results of current research Results of current research Atmospheric effects of the cosmic-ray mu-meson component Atmospheric effects of the cosmic-ray mu-meson component Янчуковский Валерий Леонидович Yanchukovsky Valery Leonidovich vjanch@gs.nsc.ru

доктор физико-математических наук;

doctor of physical and mathematical sciences;

 Кузьменко Василий Сергеевич Kuzmenko Vasiliy Sergeevich mp3.87@mail.ru Институт нефтегазовой геологии и геофизики им. А.А. Трофимука СО РАН Новосибирск Россия Trofimuk Institute of Petroleum Geology and Geophysics SB RAS Novosibirsk Russian Federation Институт нефтегазовой геологии и геофизики им. А.А. Трофимука СО РАН Новосибирск Россия Trofimuk Institute of Petroleum Geology and Geophysics SB RAS Novosibirsk Russian Federation 4 3 76 82 https://zh-szf.ru/en/nauka/article/23012/view

Variations in the intensity of cosmic rays observed in the depth of the atmosphere include the atmospheric component of the variations. Cosmic-ray muon telescopes, along with the barometric effect, have a significant temperature effect due to the instability of detected particles. To take into account atmospheric effects in muon telescope data, meteorological coefficients of muon intensity are found. The meteorological coefficients of the intensity of muons recorded in the depth of the atmosphere are estimated from experimental data, using various methods of factor analysis. The results obtained from experimental data are compared with the results of theoretical calculations.

Variations in the intensity of cosmic rays observed in the depth of the atmosphere include the atmospheric component of the variations. Cosmic-ray muon telescopes, along with the barometric effect, have a significant temperature effect due to the instability of detected particles. To take into account atmospheric effects in muon telescope data, meteorological coefficients of muon intensity are found. The meteorological coefficients of the intensity of muons recorded in the depth of the atmosphere are estimated from experimental data, using various methods of factor analysis. The results obtained from experimental data are compared with the results of theoretical calculations.

 cosmic rays muons temperature atmosphere cosmic rays muons temperature atmosphere

Aivazyan S.A. Prikladnaya statistika i osnovy ekonometriki [Applied Statistics and Founda-tions of Econometrics]. Moscow, Yuniti Publ., 2001, 403 p. (In Russian). Aivazyan S.A. Prikladnaya statistika i osnovy ekonometriki [Applied Statistics and Founda-tions of Econometrics]. Moscow, Yuniti Publ., 2001, 403 p. (In Russian). Aivazyan S.A., Bukhshtaber V.M., Enyukov I.S., Meshalkin L.D. Prikladnaya Statistika. Klassifikatsiya i Snizhenie Razmernosti [Applied Statistics. Classification and Dimension Lowering]. Moscow, Finansy i Statistika Publ., 1989. 607 p. (In Russian). Aivazyan S.A., Bukhshtaber V.M., Enyukov I.S., Meshalkin L.D. Prikladnaya Statistika. Klassifikatsiya i Snizhenie Razmernosti [Applied Statistics. Classification and Dimension Lowering]. Moscow, Finansy i Statistika Publ., 1989. 607 p. (In Russian). Berkova M.D., Belov A.V., Eroshenko E.A., Yanke V.G. Temperature effect of the muon component of cosmic ray and practical possibilities of its accounting. Proc. 21st ECRS. Kosice, Slovakia, 9-12 September 2008, 2008, рр. 123-126. Berkova M.D., Belov A.V., Eroshenko E.A., Yanke V.G. Temperature effect of the muon component of cosmic ray and practical possibilities of its accounting. Proc. 21st ECRS. Kosice, Slovakia, 9-12 September 2008, 2008, rr. 123-126. Dayal B.S., McGregor J.F. Improved PLS Algorithms. J. Chemometrics, 1997, vol. 11, pp. 73-65. Dayal B.S., McGregor J.F. Improved PLS Algorithms. J. Chemometrics, 1997, vol. 11, pp. 73-65. de Jong S., Ter Braak C. Comments on the PLS kernel algorithm. J. Chemometrics, 1994, vol. 8, pp. 169-174. de Jong S., Ter Braak C. Comments on the PLS kernel algorithm. J. Chemometrics, 1994, vol. 8, pp. 169-174. Dmitrieva A.N., Kokoulin R.P., Petruhin A.A., Timashov D.A. Temperature coefficients for muons under different zenith angles. Izvestiya RAN. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences: Physics]. 2009, vol. 73, no. 3, pp. 371-374. (In Russian). Dmitrieva A.N., Kokoulin R.P., Petruhin A.A., Timashov D.A. Temperature coefficients for muons under different zenith angles. Izvestiya RAN. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences: Physics]. 2009, vol. 73, no. 3, pp. 371-374. (In Russian). Dorman L.I. Variatsii kosmicheskikh luchei [Cosmic Ray Variations]. Moscow, Gostekhizdat Publ., 1957. 285 p. (In Russian). Dorman L.I. Variatsii kosmicheskikh luchei [Cosmic Ray Variations]. Moscow, Gostekhizdat Publ., 1957. 285 p. (In Russian). Dorman L.I. Meteorologicheskie effekty kosmicheskikh luchei [Meteorological Effects of Cosmic Rays]. Moscow, Nauka Publ., 1972. 211 p. (In Russian). Dorman L.I. Meteorologicheskie effekty kosmicheskikh luchei [Meteorological Effects of Cosmic Rays]. Moscow, Nauka Publ., 1972. 211 p. (In Russian). Dorman L.I. Experimentalnye i teoreticheskie osnovy astrofiziki kosmicheskikh luchei [Exper-imental and Theoretical Foundations of Astrophysics of Cosmic Rays]. Moscow, Nauka Publ., 1975. 462 p. (In Russian). Dorman L.I. Experimentalnye i teoreticheskie osnovy astrofiziki kosmicheskikh luchei [Exper-imental and Theoretical Foundations of Astrophysics of Cosmic Rays]. Moscow, Nauka Publ., 1975. 462 p. (In Russian). Dorman L.I., Yanke V.G. On theory of meteorological effects of cosmic rays. Izvestiya AN SSSR. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences: Physics]. 1971, vol. 35, no. 12, pp. 2556-2570. (In Russian). Dorman L.I., Yanke V.G. On theory of meteorological effects of cosmic rays. Izvestiya AN SSSR. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences: Physics]. 1971, vol. 35, no. 12, pp. 2556-2570. (In Russian). Draper N.R., Smith H. Applied Regression Analysis. 3rd Edition by John Wiley & Sons Inc. 1998, 736 p. Draper N.R., Smith H. Applied Regression Analysis. 3rd Edition by John Wiley & Sons Inc. 1998, 736 p. Dvornikov V.M., Dorman L.I., Luzov A.A., Sergeev A.V., Yanchukovsky A.L. Analysis of cosmic ray variations of magnetospheric and interplanetary origin from the spectrograph data. Izvestiya AN SSSR. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences: Physics]. 1972, vol. 36, no. 11, pp. 2427-2434. (In Rus-sian). Dvornikov V.M., Dorman L.I., Luzov A.A., Sergeev A.V., Yanchukovsky A.L. Analysis of cosmic ray variations of magnetospheric and interplanetary origin from the spectrograph data. Izvestiya AN SSSR. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences: Physics]. 1972, vol. 36, no. 11, pp. 2427-2434. (In Rus-sian). Dvornikov V.M., Sdobnov V.E., Kravtsova M.V. Cosmic ray modulation by regular electromagnetic fields in the heliosphere during solar proton events. Izvestiya RAN. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences. Physics]. 2005, vol. 69, no. 6, pp. 821-824. Dvornikov V.M., Sdobnov V.E., Kravtsova M.V. Cosmic ray modulation by regular electromagnetic fields in the heliosphere during solar proton events. Izvestiya RAN. Ser. Fizicheskaya [Bull. of the Russian Academy of Sciences. Physics]. 2005, vol. 69, no. 6, pp. 821-824. Enyukov I.S. Faktornyi, diskriminantnyi i klasternyi analiz [Factorial, Discriminant, and Cluster Analysis]. Moscow, Finansy i Statistika Publ., 1989. 215 p. (In Russian). Enyukov I.S. Faktornyi, diskriminantnyi i klasternyi analiz [Factorial, Discriminant, and Cluster Analysis]. Moscow, Finansy i Statistika Publ., 1989. 215 p. (In Russian). Esbensen K. Analiz mnogomernykh dannykh. Iz-brannye glavy [Analysis of Multidimensional Data. Selected Chapters / Trans. From English. S.V. Kucheryavsky / Ed. O.E. Rodionova] Chernogolovka, IPCP RAN Publ., 2005. 160 p. (In Russian). Esbensen K. Analiz mnogomernykh dannykh. Iz-brannye glavy [Analysis of Multidimensional Data. Selected Chapters / Trans. From English. S.V. Kucheryavsky / Ed. O.E. Rodionova] Chernogolovka, IPCP RAN Publ., 2005. 160 p. (In Russian). Ferster E., Rents B. Metody korrelyatsionnogo i regressionnogo analiza [Methods of Correlation and Regression Analysis]. Moscow, Finansy i Statistika Publ., 1981. 302 p. (In Russian). Ferster E., Rents B. Metody korrelyatsionnogo i regressionnogo analiza [Methods of Correlation and Regression Analysis]. Moscow, Finansy i Statistika Publ., 1981. 302 p. (In Russian). Gorlach B.A. Matematika [Mathematics]. Mos-cow, Nauka Publ., 2006. 911 p. (In Russian). Gorlach B.A. Matematika [Mathematics]. Mos-cow, Nauka Publ., 2006. 911 p. (In Russian). Ilyin V.A, Poznyak E.G. Lineynaya algebra: Uchebnik dlya vuzov [Linear Algebra: A Text-book for High Schools. 6th ed.]. Moscow, Fiz-matlit Publ., 2004. 280 p. (In Russian). Ilyin V.A, Poznyak E.G. Lineynaya algebra: Uchebnik dlya vuzov [Linear Algebra: A Text-book for High Schools. 6th ed.]. Moscow, Fiz-matlit Publ., 2004. 280 p. (In Russian). Kichigin G.N., Kravtsova M.V., Sdobnov V.E. Parameters of current systems in the magnetosphere as derived from observations of cosmic rays during the June 2015 magnetic storm. Solar-Terr. Phys. 2017, vol. 3, no. 3, pp. 13-17. DOI: 10.12737/stp-33201702. Kichigin G.N., Kravtsova M.V., Sdobnov V.E. Parameters of current systems in the magnetosphere as derived from observations of cosmic rays during the June 2015 magnetic storm. Solar-Terr. Phys. 2017, vol. 3, no. 3, pp. 13-17. DOI: 10.12737/stp-33201702. Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [A Handbook on Mathematics for Scientists and Engineers]. Moscow, Nauka Publ., 1984. 831 p. (In Russian). Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [A Handbook on Mathematics for Scientists and Engineers]. Moscow, Nauka Publ., 1984. 831 p. (In Russian). Kuzmenko V.S., Yanchukovsky V.L. Determi-nation of density of temperature coefficients the Earth’s atmosphere muons. Solar-Terr. Phys. 2015, vol. 1, iss. 2, pp. 91-96. (In Russian). DOI: 10.12737/10403. Kuzmenko V.S., Yanchukovsky V.L. Determi-nation of density of temperature coefficients the Earth’s atmosphere muons. Solar-Terr. Phys. 2015, vol. 1, iss. 2, pp. 91-96. (In Russian). DOI: 10.12737/10403. Kuzmenko V.S., Yanchukovsky V.L. Distribu-tion of temperature coefficient density for muons in the atmosphere. Solar-Terr. Phys. 2017, vol. 3, iss. 4, pp. 93-102. Kuzmenko V.S., Yanchukovsky V.L. Distribu-tion of temperature coefficient density for muons in the atmosphere. Solar-Terr. Phys. 2017, vol. 3, iss. 4, pp. 93-102. Lindgren F., Geladi P., Wold S. The kernel algo-rithm for PLS. J. Chemometrics. 1993, vol. 7, pp. 45-59. Lindgren F., Geladi P., Wold S. The kernel algo-rithm for PLS. J. Chemometrics. 1993, vol. 7, pp. 45-59. Martens H., Naes T. Multivariate Calibration. Chichester, UK: John Wiley and Sons, 1991. Martens H., Naes T. Multivariate Calibration. Chichester, UK: John Wiley and Sons, 1991. Pomerantsev A.L. Khemometrika v Excel: Uchebnoe posobie [Chemometrics in Excel: Tu-torial]. Tomsk, TPU Publ., 2014. 435 p. (In Rus-sian). Pomerantsev A.L. Khemometrika v Excel: Uchebnoe posobie [Chemometrics in Excel: Tu-torial]. Tomsk, TPU Publ., 2014. 435 p. (In Rus-sian). Rannar S., Lindgren F., Geladi P., Wold S. A PLS kernel algorithm for data sets with many variables and fewer objects. Pt. 1: Theory and Algorithm. J. Chemometrics. 1994, vol. 8, pp. 111-125. Rannar S., Lindgren F., Geladi P., Wold S. A PLS kernel algorithm for data sets with many variables and fewer objects. Pt. 1: Theory and Algorithm. J. Chemometrics. 1994, vol. 8, pp. 111-125. Volkov E.A. Chislennye metody [Numerical Methods]. Moscow, Fizmatlit Publ., 2003. 367 p. (In Russian). Volkov E.A. Chislennye metody [Numerical Methods]. Moscow, Fizmatlit Publ., 2003. 367 p. (In Russian). Yanchukovsky V.L., Grigoryev V.G., Krymsky G.F., Kuz’menko V.S., Molchanov A.D. Re-ceiving vectors of muon telescope of cosmic ray station Novosibirsk. Solar-Terr. Phys. 2016, vol. 2, iss. 1, pp. 103-119. DOI: 10.12737/19883. Yanchukovsky V.L., Grigoryev V.G., Krymsky G.F., Kuz’menko V.S., Molchanov A.D. Re-ceiving vectors of muon telescope of cosmic ray station Novosibirsk. Solar-Terr. Phys. 2016, vol. 2, iss. 1, pp. 103-119. DOI: 10.12737/19883. Yanchukovsky V.L., Kuzmenko V.S., Antsyz E.N. Results of cosmic ray monitoring with a multichannel complex. Geomagnetism and Aeronomy. 2011, vol. 51, no. 7, pp. 893-896. Yanchukovsky V.L., Kuzmenko V.S., Antsyz E.N. Results of cosmic ray monitoring with a multichannel complex. Geomagnetism and Aeronomy. 2011, vol. 51, no. 7, pp. 893-896. URL: http://cosm-rays.ipgg.sbras.ru (accessed November 23, 2017). URL: http://cosm-rays.ipgg.sbras.ru (accessed November 23, 2017). URL: https://ruc.noaa.gov/raobs (accessed Feb-ruary 17, 2017). URL: https://ruc.noaa.gov/raobs (accessed Feb-ruary 17, 2017). URL: http://www.camo.com/rt/Products/Unscrambler/unscrambler.html (accessed February 17, 2017). URL: http://www.camo.com/rt/Products/Unscrambler/unscrambler.html (accessed February 17, 2017).