21 st ecrs kosice, 9-12 september 2008

18
21 st ECRS Kosice, 9-12 September 2008 Characteristics of muon flux Characteristics of muon flux distribution in distribution in the atmosphere the atmosphere during solar activity minimum during solar activity minimum V.S. Makhmutov 1 , Y. I. Stozhkov 1 , G.A. Bazilevskaya 1 , N. S. Svirzhevsky 1 , L. Desorgher 2 , E. Flueckiger 2 1 Lebedev Physical Institute Russian Academy of Sciences, Moscow, Russia 2 Physicalishes Institut, University of Bern, CH-3012 Bern, Switzerland

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21 st ECRS Kosice, 9-12 September 2008 Characteristics of muon flux distribution in the atmosphere during solar activity minimum V.S. Makhmutov 1 , Y. I. Stozhkov 1 , G.A. Bazilevskaya 1 , N. S. Svirzhevsky 1 , L. Desorgher 2 , E. Flueckiger 2 - PowerPoint PPT Presentation

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  • 21st ECRS Kosice, 9-12 September 2008

    Characteristics of muon flux distribution in the atmosphere during solar activity minimum

    V.S. Makhmutov1, Y. I. Stozhkov1, G.A. Bazilevskaya1, N. S. Svirzhevsky1, L. Desorgher2, E. Flueckiger2

    1 Lebedev Physical Institute Russian Academy of Sciences, Moscow, Russia2 Physicalishes Institut, University of Bern, CH-3012 Bern, Switzerland

  • EXPERIMENT & DATA

    GEANT4 /PLANETOCOSMICS based simulation on GCR transport in the Earths atmosphere

    EXPERIMENT + SIMULATION - spatial and spectral feautures - muon flux distribution in the atmosphere - latitude effect OUTLINE OF THE TALK:

  • Long-term balloon CR measurements in the Earths atmosphere since 1957: investigations of the variations of primary CRs in the energy range E ~ 108 - 21010 eV (Y.I. Stozhkov, this morning)

    Additionally, several latitudinal surveys (mainly in sea expeditions from St-Petersburg to the Antarctic were carried out during periods of minima and maxima of solar activity.

  • Antarctic sea expedition in 1975 - 1976

    1975 - 1976

  • Rc, mean value (GV) Geomagnetic cuttoff rigidity of muon measurement locations (Rc, GV) and balloon flight number. 1 1.0 2 2.4 2.4 (1) 3 4.5 4 7.6 5 8.3 7.02 (1);7.3 (1); 7.64 (2); 8.0 (2)9.44 (1); 9.75 (2) 6 11.3 11.09 (1); 11,39 (1); 11.79 (2); 12.62 (1) 713.613.17 (2); 13.43 (1); 13.98 (1); 14.17 (1) Geomagnetic Locations of the Balloon CR Measurements in November 1975 - March 2006Altitude range is 0-30 km (X ~ 10 1000 gm-2).

  • The detector was composed of 8 gas-discharge Geiger counters STS-6 ( - 1.9 m, L - 9.8 m, thickness -0.05 gm-2).

    The counters are separated by Pb absorber (2.5 m, x ~28.4 gm-2).

    Each counter detects > 0.2 MeV e-, > 5 MeV protons and photons above 20 keV with an efficiency of 1 %. Counters 2 (UP) and 7 (LOW) constitutes a telescope (coincidence scheme). A telescope mainly records > 70 MeV muons and protons, but is not sensitive to -rays

    Front view of the detector

  • The sum of the signals from the counter 2 located above the Pb plate is called the CH1 signal,

    CH2 - number of coincidence signals in counters 2 and 7

    CH3 - number of coincidence signals in counters 2, 7 and in any 1, 3, 4 6 or 8 counter (cascade particles record).We used difference of 2 - 3 at selected atmospheric depth x to calculate Ntot() = Muons + Protons = N() + Npr().

    The proton flux decreases ~ exponentialy in the atmosphere with a characteristic attenuation lenghts of about o=120 gm-2, Npr() = Noexp(-/o), where No=100 c-2-1-1 at Rc=13.6 GV).

    Finally, muon flux is N() = Ntot() - Npr() !

  • Muon flux distribution in the atmosphere at geomagnetic location with Rc=13.6 GV.

    2

    0.00435194392.52.5

    0.015117410355

    0.02508225287.57.5

    0.02481241941010

    0.03584794311515

    0.04376691092020

    0.05748107143030

    0.07475088424040

    0.06729139745050

    0.07379211766060

    0.08508571587070

    0.09957546668080

    0.10246830649090

    0.0929668404100100

    0.1028160555120120

    0.1217476232140140

    0.1124460448160160

    0.1260496845180180

    0.1062053359200200

    0.0984661749250250

    0.0993027951300300

    0.0959017854350350

    0.0692050643400400

    0.0819236752450450

    0.0924643104500500

    0.0864622711550550

    0.0699477959600600

    0.0667543998650650

    0.0535845052700700

    0.0605351853750750

    0.047495942800800

    0.0475321981850850

    0.0371839425900900

    0.0413726897950950

    0.033096112210001000

    0.0358666114

    0.0414566605

    0.0373109693

    0.0310929205

    0.0269533956

    0.029036427

    0.026965593

    0.0311265476

    0.0248976864

    0.0249031165

    0.0207528529

    0.0186795817

    0.0228357226

    0.0176461969

    0.0145334015

    0.0083045544

    Rc= 13.6 GV

    X, g cm-2

    J (>70 MeV), cm-2 s-1

    dlya_statji

    dlya_statji

    13687.0947.832120.513.767

    139.6685.8650.6120.520.25149.37

    157.587.9356.2822.5521.3616.7111.55

    15191.146826.1625.8518.8711.27

    150.599.9260.0924.832420.513.7

    148.25102.3862.53028.4322.2515.28

    159.5102.6369.7134.533.6325.5918.09

    142.33109.5277.6633.8832.812921.85

    148.5104.1877.631.1231.3334.419.75

    135.75105.1981.6638.2838.5533.8321

    132102.7670.2538.6638.5735.5923.4

    11496.2877.530.3330.3334.5926.59

    100.1997.1481.3346.2545.1935.2527

    103.3393.377.8543.8543.7734.6224.4

    90.586.8566.1442.8542.1135.3326.42

    8383.0862.842.164236.3330.66

    63.6673.8961.193536.8333.7528.2

    6367.445737.6637.4234.3331.25

    6161.665035.2535.829.226.33

    51.55854.54137.6627.6624.33

    4953.664825.33262424.4

    4946.4246.6636362723.5

    3741.5738.2527.523.2517

    3735.284025.42623.3320

    31.53433.6622.519.2522.5

    32.5931.522.6620.2520.521

    2827.6630.522.662218.3317

    272325.514.5161716.2

    1822.4422.3322.52017.2513

    22202117.51814.66

    1918.519.56613.611.5

    1721.51515.161411.5

    17.514139

    1616151011.5910

    1113.83141111118

    9.331211117.668.66

    1312.66128.338.21210

    9.259.599

    89.25121210.58.337.5

    8810.661076.5

    66.58.58107

    57.85599.3376.5

    6.5966.54.667.5

    8666

    9976.56.546

    6.57733.55.665

    86.755.256.254.5

    64.336.565.335.5

    7.555.255534.25

    3.754.5334.53.5

    4.28955.52

    2.25

    Rc=1 GV

    Rc=2.4 GV

    Rc=4.5 GV

    Rc=7.6 GV

    Rc=8.3 GV

    Rc=11.34 GV

    Rc=13.6 GV

    X, g/cm2

    COUNT / min

    Muons1975-76 2.5 cm Pb

    Penetration component, sea expedition, 11.1975-3.1976; Moscow;

    2.5 cm Pb (particles without showers); G=9.0 cm^2 sr at n=0

    Rc=1.01 GV (4 flights:1.14; 1.14; 0.88; 0.88 GV)

    intervalX,g/cm^2N/mindNn

    0

    18.3913661

    210.26139.661.23

    314.62157.55.674

    418.531511.523

    524150.56.194

    634.25148.252.214

    745.75159.55.24

    856142.331.763

    964148.56.52

    1073.75135.752.784

    1184.331323.513

    1295.331147.813

    13111.6100.192.985

    14127.66103.334.913

    15148.2590.54.854

    16166.58382

    1718763.662.843

    18208.56322

    192246132

    20251.7551.53.884

    21280491.461

    22292491.461

    23305.53702

    24339371.11

    2535031.53.52

    26

    273912802

    28410270.811

    29432180.531

    30453220.661

    31477.51902

    32

    33

    34529.51612

    35553110.331

    36

    37596130.391

    38

    3963880.241

    40

    4166660.171

    4269450.151

    43

    44730.5802

    4575390.261

    46

    47805812

    4886060.171

    498877.50.52

    50

    51

    Rc=2.4 GV (23 May-3 October 1974)

    intervalX,g/cm^2N/mindNn

    03.0587.092.1110

    16.7485.861.648

    210.187.931.9510

    314.2691.141.820

    418.8599.922.6913

    524.88102.381.626

    635.73102.631.7119

    745.58109.521.7517

    855.22104.181.6622

    964.93105.191.5115

    1074.61102.762.1413

    1186.6496.281.7514

    129497.141.737

    13109.8593.32.1720

    14131.4286.852.4514

    15151.8383.081.5912

    16169.2973.891.5710

    17190.6467.442.620

    18213.1661.662.386

    19226.57581.77

    2024953.662.19

    21269.1446.421.547

    22290.5741.572.347

    23310.7135.282.597

    24329.16341.56

    25350.5932.592.855

    26372.6627.661.269

    273962301

    28411.7722.441.69

    294342013

    30450.2518.51.934

    31471.85171.157

    3249417.51.52

    33508161.153

    3452913.830.836

    35548.339.332.183

    36570.6612.661.763

    375959.250.474

    386089.251.544

    39629.5980.895

    40649.56.51.52

    41674.577.851.227

    426946.51.194

    43709.5602

    44721901

    457466.570.487

    46765.256.750.474

    477974.330.579

    48847.550.598

    49887.53.750.474

    50922.574.280.527

    51979.52.250.474

    Rc=4.53 GV (5 flights:4.81; 4.81; 4.7; 4.49; 4.49 GV)

    intervalX,g/cm^2N/mindNn

    0

    16.6547.831.5512

    210.2950.611.913

    314.6556.282.677

    418.456892

    524.760.092.9110

    635.3762.51.478

    74669.712.687

    856.1677.664.066

    964.677.65.595

    1074.3381.665.783

    118570.254.534

    1296.7577.54.034

    13109.581.333.256

    14127.7177.854.097

    15148.4266.142.737

    16168.662.82.285

    17190.261.193.675

    18212.55712

    19228.25502.444

    2025554.54.334

    21273.54842

    2228946.660.663

    23312.2538.252.924

    24340401.21

    25352.3333.662.843

    2637931.51.52

    27387.530.55.52

    2840925.52.52

    29429.3322.333.663

    304522122

    31477.519.54.52

    32489.521.53.52

    33514140.421

    34536.51502

    35553.51422

    36578120.351

    37600120.351

    38612.59.51.52

    39629120.351

    4064980.241

    416748.50.52

    4268550.151

    4370590.261

    44

    4574570.211

    46775702

    47805.755.250.474

    48

    49878.255.250.474

    509264.50.52

    5196390.261

    Rc=7.6 GV (6 flights: 8.0; 8.0; 7.3; 7.02; 7.64; 7.64 CV)

    intervalX,g/cm^2N/mindNn

    04.192131

    16.4820.51.68

    210.2722.551.989

    314.5526.162.826

    418.1324.833.246

    524.84302.313

    634.434.51.8410

    745.5533.882.659

    85531.123.718

    964.8538.283.697

    1075.6638.664.166

    118730.336.693

    1295.546.252.654

    13109.5743.854.197

    14130.2842.853.687

    15147.8342.164.746

    16169355.684

    17190.6637.663.736

    18212.7535.256.434

    19231.39411.975

    20252.6625.333.283

    212653652

    22

    23310.225.44.235

    24

    2534522.664.843

    2636822.662.63

    27388.514.59.52

    28418.522.50.52

    29427.517.51.52

    3044160.171

    31474.25151.294

    32

    33511.51052

    34521110.331

    355461112

    36574.668.331.763

    37

    38614120.351

    39629.3310.661.453

    40

    41674912

    4269860.171

    43

    44729.56.52.52

    4576030.081

    46

    47786.56.51.52

    48836.5512

    49881.5312

    5094750.151

    51

    Rc=8.28 GV (9 flights:7.02; 7.3; 7.64.; 7.64; 8.0; 8.0; 9.44; 9.75; 9.75 GV)

    intervalX,g/cm^2N/mindNn

    04.620.51.82

    16.8720.251.638

    210.2921.361.7911

    314.6225.852.47

    418.33242.458

    524.9328.432.0316

    634.4433.631.8711

    745.2232.812.2811

    854.5531.333.289

    965.1638.552.889

    1076.0738.573.517

    118730.336.693

    1294.545.192.315

    13109.6643.773.389

    14132.2542.112.919

    15148.85424.017

    16169.9136.833.786

    17191.9237.423.167

    18210.2935.85.015

    19232.8337.661.856

    20254.5262.414

    212653652

    22286.527.52.52

    23309.91263.516

    24331.2522.55.52

    2534720.254.194

    26369.87221.954

    27385.83165.683

    28415.5202.513

    294291814

    3044160.171

    31472.515.160.836

    32

    33510.7511.52.254

    34521110.331

    35544.33110.573

    365748.20.965

    37

    38616.510.51.52

    39628101.224

    4065680.241

    41674.339.330.663

    426996.50.52

    43

    44729.56.52.52

    45754.53.50.52

    46

    47791.2560.74

    48840.6650.573

    49879.6630.573

    509315.50.52

    51

    Rc=11.34 GV (5 flights: 11.09; 11,39; 11.79; 11.79; 12.62 GV)

    intervalX,g/cm^2N/mindNn

    0

    17.0313.760.5213

    210.18140.579

    314.2716.711.687

    418.518.870.838

    525.3320.51.0112

    635.1222.251.338

    744.825.591.325

    854.5291.126

    964.834.42.615

    1075.8333.831.166

    1186.3935.591.435

    1296.1934.592.065

    13112.2535.252.348

    14133.6234.621.348

    15153.6635.331.336

    16173.8336.331.686

    1719533.751.654

    1820134.332.023

    19231.229.21.985

    2025527.660.883

    21269.52442

    22289271.224

    23313.523.251.974

    24332.6623.333.283

    25352.2519.250.944

    26371.520.50.52

    27384.6618.330.663

    28408.51722

    29430.7517.251.184

    30

    31467.413.61.025

    32498140.421

    335101312

    34533.3392.083

    35541110.331

    36569.667.660.333

    37589120.351

    38616902

    396288.331.453

    40654.5712

    41675100.31

    4270070.211

    43705.664.660.333

    4473260.171

    4574940.121

    46773.335.660.333

    47807.56.250.474

    488405.330.883

    4987630.081

    509094.51.52

    51

    Rc=13.6 GV (5 fligths: 13.17; 13.17; 13.43; 13.98; 14.17 GV)

    intervalX,g/cm^2N/mindNn

    02.7870.816

    16.589.370.98

    210.4811.550.559

    314.4611.270.5211

    418.8413.70.7810

    525.515.280.8214

    636.4518.090.8211

    746.2821.851.487

    854.519.750.838

    963.8212.425

    1074.1923.41.285

    118526.590.925

    1296.6271.585

    1311124.40.595

    14130.1426.421.17

    15151.3330.662.843

    16169.228.21.155

    17191.531.251.494

    18208.6626.332.333

    19228.524.330.766

    20252.224.41.435

    21270.2523.51.74

    22289.66170.573

    233102012

    24324.7522.51.554

    253512113

    26365172.083

    27386.7916.20.965

    28412.66131.153

    29427.3314.662.333

    3045511.51.324

    31469.511.51.52

    3248690.261

    33505.75100.44

    34526.5802

    35551.668.660.333

    365791012

    37589.5912

    38608.57.50.52

    396366.50.52

    40651.5712

    41668.56.50.52

    42695.57.50.52

    4370160.171

    44728612

    45748513

    46775.54.50.52

    478045.50.52

    48836.54.250.754

    49885.253.50.864

    50930212

    51

    &A

    &P

    Muons1975-76 2.5 cm Pb

    13687.0947.832120.513.767

    139.6685.8650.6120.520.25149.37

    157.587.9356.2822.5521.3616.7111.55

    15191.146826.1625.8518.8711.27

    150.599.9260.0924.832420.513.7

    148.25102.3862.53028.4322.2515.28

    159.5102.6369.7134.533.6325.5918.09

    142.33109.5277.6633.8832.812921.85

    148.5104.1877.631.1231.3334.419.75

    135.75105.1981.6638.2838.5533.8321

    132102.7670.2538.6638.5735.5923.4

    11496.2877.530.3330.3334.5926.59

    100.1997.1481.3346.2545.1935.2527

    103.3393.377.8543.8543.7734.6224.4

    90.586.8566.1442.8542.1135.3326.42

    8383.0862.842.164236.3330.66

    63.6673.8961.193536.8333.7528.2

    6367.445737.6637.4234.3331.25

    6161.665035.2535.829.226.33

    51.55854.54137.6627.6624.33

    4953.664825.33262424.4

    4946.4246.6636362723.5

    3741.5738.2527.523.2517

    3735.284025.42623.3320

    31.53433.6622.519.2522.5

    32.5931.522.6620.2520.521

    2827.6630.522.662218.3317

    272325.514.5161716.2

    1822.4422.3322.52017.2513

    22202117.51814.66

    1918.519.56613.611.5

    1721.51515.161411.5

    17.514139

    1616151011.5910

    1113.83141111118

    9.331211117.668.66

    1312.66128.338.21210

    9.259.599

    89.25121210.58.337.5

    8810.661076.5

    66.58.58107

    57.85599.3376.5

    6.5966.54.667.5

    8666

    9976.56.546

    6.57733.55.665

    86.755.256.254.5

    64.336.565.335.5

    7.555.255534.25

    3.754.5334.53.5

    4.28955.52

    2.25

    Muons (Pb, 2.5 cm; 1975-76)

    Rc=1 GV

    Rc=2.4 GV

    Rc=4.5 GV

    Rc=7.6 GV

    Rc=8.3 GV

    Rc=11.34 GV

    Rc=13.6 GV

    X, g/cm^2

    count/min

    Sravn_fig

    13687.0947.832120.513.767

    139.6685.8650.6120.520.25149.37

    157.587.9356.2822.5521.3616.7111.55

    15191.146826.1625.8518.8711.27

    150.599.9260.0924.832420.513.7

    148.25102.3862.53028.4322.2515.28

    159.5102.6369.7134.533.6325.5918.09

    142.33109.5277.6633.8832.812921.85

    148.5104.1877.631.1231.3334.419.75

    135.75105.1981.6638.2838.5533.8321

    132102.7670.2538.6638.5735.5923.4

    11496.2877.530.3330.3334.5926.59

    100.1997.1481.3346.2545.1935.2527

    103.3393.377.8543.8543.7734.6224.4

    90.586.8566.1442.8542.1135.3326.42

    8383.0862.842.164236.3330.66

    63.6673.8961.193536.8333.7528.2

    6367.445737.6637.4234.3331.25

    6161.665035.2535.829.226.33

    51.55854.54137.6627.6624.33

    4953.664825.33262424.4

    4946.4246.6636362723.5

    3741.5738.2527.523.2517

    3735.284025.42623.3320

    31.53433.6622.519.2522.5

    32.5931.522.6620.2520.521

    2827.6630.522.662218.3317

    272325.514.5161716.2

    1822.4422.3322.52017.2513

    22202117.51814.66

    1918.519.56613.611.5

    1721.51515.161411.5

    17.514139

    1616151011.5910

    1113.83141111118

    9.331211117.668.66

    1312.66128.338.21210

    9.259.599

    89.25121210.58.337.5

    8810.661076.5

    66.58.58107

    57.85599.3376.5

    6.5966.54.667.5

    8666

    9976.56.546

    6.57733.55.665

    86.755.256.254.5

    64.336.565.335.5

    7.555.255534.25

    3.754.5334.53.5

    4.28955.52

    2.25

    Muons (Pb, 2.5 cm; 1975-76)

    Rc=1 GV

    Rc=2.4 GV

    Rc=4.5 GV

    Rc=7.6 GV

    Rc=8.3 GV

    Rc=11.34 GV

    Rc=13.6 GV

    X, g/cm^2

    count/min

    22may_1_fig

    13687.0947.832120.513.767

    139.6685.8650.6120.520.25149.37

    157.587.9356.2822.5521.3616.7111.55

    15191.146826.1625.8518.8711.27

    150.599.9260.0924.832420.513.7

    148.25102.3862.53028.4322.2515.28

    159.5102.6369.7134.533.6325.5918.09

    142.33109.5277.6633.8832.812921.85

    148.5104.1877.631.1231.3334.419.75

    135.75105.1981.6638.2838.5533.8321

    132102.7670.2538.6638.5735.5923.4

    11496.2877.530.3330.3334.5926.59

    100.1997.1481.3346.2545.1935.2527

    103.3393.377.8543.8543.7734.6224.4

    90.586.8566.1442.8542.1135.3326.42

    8383.0862.842.164236.3330.66

    63.6673.8961.193536.8333.7528.2

    6367.445737.6637.4234.3331.25

    6161.665035.2535.829.226.33

    51.55854.54137.6627.6624.33

    4953.664825.33262424.4

    4946.4246.6636362723.5

    3741.5738.2527.523.2517

    3735.284025.42623.3320

    31.53433.6622.519.2522.5

    32.5931.522.6620.2520.521

    2827.6630.522.662218.3317

    272325.514.5161716.2

    1822.4422.3322.52017.2513

    22202117.51814.66

    1918.519.56613.611.5

    1721.51515.161411.5

    17.514139

    1616151011.5910

    1113.83141111118

    9.331211117.668.66

    1312.66128.338.21210

    9.259.599

    89.25121210.58.337.5

    8810.661076.5

    66.58.58107

    57.85599.3376.5

    6.5966.54.667.5

    8666

    9976.56.546

    6.57733.55.665

    86.755.256.254.5

    64.336.565.335.5

    7.555.255534.25

    3.754.5334.53.5

    4.28955.52

    2.25

    Muons (Pb, 2.5 cm; 1975-76)

    Rc=1 GV

    Rc=2.4 GV

    Rc=4.5 GV

    Rc=7.6 GV

    Rc=8.3 GV

    Rc=11.34 GV

    Rc=13.6 GV

    X, g/cm^2

    count/min

    korrekt_fig

    13687.0947.832120.513.767

    139.6685.8650.6120.520.25149.37

    157.587.9356.2822.5521.3616.7111.55

    15191.146826.1625.8518.8711.27

    150.599.9260.0924.832420.513.7

    148.25102.3862.53028.4322.2515.28

    159.5102.6369.7134.533.6325.5918.09

    142.33109.5277.6633.8832.812921.85

    148.5104.1877.631.1231.3334.419.75

    135.75105.1981.6638.2838.5533.8321

    132102.7670.2538.6638.5735.5923.4

    11496.2877.530.3330.3334.5926.59

    100.1997.1481.3346.2545.1935.2527

    103.3393.377.8543.8543.7734.6224.4

    90.586.8566.1442.8542.1135.3326.42

    8383.0862.842.164236.3330.66

    63.6673.8961.193536.8333.7528.2

    6367.445737.6637.4234.3331.25

    6161.665035.2535.829.226.33

    51.55854.54137.6627.6624.33

    4953.664825.33262424.4

    4946.4246.6636362723.5

    3741.5738.2527.523.2517

    3735.284025.42623.3320

    31.53433.6622.519.2522.5

    32.5931.522.6620.2520.521

    2827.6630.522.662218.3317

    272325.514.5161716.2

    1822.4422.3322.52017.2513

    22202117.51814.66

    1918.519.56613.611.5

    1721.51515.161411.5

    17.514139

    1616151011.5910

    1113.83141111118

    9.331211117.668.66

    1312.66128.338.21210

    9.259.599

    89.25121210.58.337.5

    8810.661076.5

    66.58.58107

    57.85599.3376.5

    6.5966.54.667.5

    8666

    9976.56.546

    6.57733.55.665

    86.755.256.254.5

    64.336.565.335.5

    7.555.255534.25

    3.754.5334.53.5

    4.28955.52

    2.25

    Muons (Pb, 2.5 cm; 1975-76)

    Rc=1 GV

    Rc=2.4 GV

    Rc=4.5 GV

    Rc=7.6 GV

    Rc=8.3 GV

    Rc=11.34 GV

    Rc=13.6 GV

    X, g/cm^2

    count/min

    Energy_probeg

    0.2518518519000.115863010.115863010.0000000980.00000021770.00514898890.0051493045

    0.25862962960.00073743750.00109224850.02712490.0289545860.00013023730.00015430650.00479686310.0050814068

    0.29166666670.00075202080.00108902550.0226781440.02451919030.00027968790.00032818950.00481158440.0054194618

    0.27962962960.00075121080.00105611550.0169648860.01877221230.00040510110.000472840.00479158440.0056695255

    0.27870370370.00071183190.00098740760.0128366040.01453584350.00052693470.00061843870.00480326430.0059486377

    0.2745370370.0006735970.0009237390.0098644470.0114617830.00074106530.00086355890.00475359080.006358215

    0.29537037040.00062512770.00084617230.0076047240.0090760240.00092482480.00107050960.00473968950.0067350239

    0.26357407410.00052848240.00068327850.0046630990.005874860.00120087580.00137386150.00463342360.0072081608

    0.2750.00042073120.00053875930.0028997290.00385921940.00144554940.00164419590.0045135430.0076032882

    0.25138888890.00033650760.00042683910.00185626540.0026196120.00163108280.00186491240.00438651270.007882508

    0.24444444440.00027047580.00033218210.00116126010.00176391810.00179160830.00203430730.00424192680.0080678424

    0.21111111110.00010530740.00019325230.091967390.09226594970.00190872610.0021585430.00409455410.0081618232

    0.1855370370.00021833420.00026657960.00075132030.00123623410.00199836780.00225860670.00393863060.0081956051

    0.19135185190.0001751780.00020833750.00048022130.00086373680.00207212580.00233003180.00379286620.0081950239

    0.16759259260.0001093630.00013367270.00019342570.00043646140.00213101110.00239409240.0036427150.0081678185

    0.15370370370.00006916660.00008510880.00008391580.00023819120.00218466560.00243703820.0033481290.0079698328

    0.11788888890.00004373240.00005591320.00003633180.00013597740.00219254780.0024450080.00306923570.0077067914

    0.11666666670.00002914470.00003760240.0000157720.00008251910.00216902070.0024145780.00281255570.0073961545

    0.1129629630.00002303330.00002992290.00000990980.0000628660.0021233360.00235545380.00255917990.0070379697

    0.09537037040.00001905010.0000245750.00000615540.00004978050.0020564570.00226952230.002333750.0066597293

    0.09074074070.00001786070.00002277120.00000531830.0000459501

    0.09074074070.00021209960.00036149390.082344370.0829179635

    0.06851851850.00034198590.00055826840.068614940.0695151943

    0.06851851850.00049148550.00074984160.058002880.0592442071

    0.05833333330.00057258030.00087351030.049896430.0513425206

    00.00062889140.00099541860.04330250.04492681

    0.05185185190.00068807960.00106652430.037923470.0396780739

    0.050.00073026690.001088920.031479010.0332981969

    0.0333333333

    0.0407407407

    0.0351851852

    0

    0

    0.0296296296

    0.0203703704

    0

    0.0240740741

    0

    0.0148148148

    0

    0.0111111111

    0.0092592593

    0

    0.0148148148

    0.0166666667

    0

    0.0148148148

    0.0111111111

    0.0138888889

    stratosphere

    Rc=1.01 GV

    posl_Laury

    0.0129629630.0000000980.0000000980.00000021770.00514930450.0000000980.00000021770.00514898890.00514930450.0129629630.00323713430.00000031560.00972582860.0000000980.0000002177

    0.01735185190.00013023730.00013023730.00015430650.00508140680.00013023730.00015430650.00479686310.00508140680.01735185190.00798867080.00028454380.00936318110.00013107320.0001552922

    0.02138888890.00027968790.00027968790.00032818950.00541946180.00027968790.00032818950.00481158440.00541946180.02138888890.01238384280.00060787740.00900504610.00028143630.0003303981

    0.02087037040.00040510110.00040510110.000472840.00566952550.00040510110.000472840.00479158440.00566952550.02087037040.01221668670.00087794110.00865368370.00040809160.0004766051

    0.02537037040.00052693470.00052693470.00061843870.00594863770.00052693470.00061843870.00480326430.00594863770.02537037040.01708753710.00114537340.00828283330.00053107720.0006232054

    0.02829629630.00074106530.00074106530.00086355890.0063582150.00074106530.00086355890.00475359080.0063582150.02829629630.02054713130.00160462420.0077491650.00074765050.0008700955

    0.03350.00092482480.00092482480.00107050960.00673502390.00092482480.00107050960.00473968950.00673502390.03350.02655456160.00199533440.00694543840.000933750.0010805494

    0.0404629630.00120087580.00120087580.00137386150.00720816080.00120087580.00137386150.00463342360.00720816080.0404629630.03416777770.00257473730.00629518520.00121234080.0013868312

    0.03657407410.00144554940.00144554940.00164419590.00760328820.00144554940.00164419590.0045135430.00760328820.03657407410.03077565620.00308974520.00579841780.00146197450.0016604618

    0.03888888890.00163108280.00163108280.00186491240.0078825080.00163108280.00186491240.00438651270.0078825080.03888888890.03360540820.00349599520.00528348060.00165004780.0018858201

    0.04333333330.00179160830.00179160830.00203430730.00806784240.00179160830.00203430730.00424192680.00806784240.04333333330.03857125070.00382591560.00476208260.00181360670.0020582803

    0.04924074070.00190872610.00190872610.0021585430.00816182320.00190872610.0021585430.00409455410.00816182320.04924074070.04496659140.00406726910.00427414930.00193388540.0021832882

    0.050.00199836780.00199836780.00225860670.00819560510.00199836780.00225860670.00393863060.00819560510.050.04619397590.00425697450.00380602410.00202545380.0022867436

    0.04518518520.00207212580.00207212580.00233003180.00819502390.00207212580.00233003180.00379286620.00819502390.04518518520.04188959560.00440215760.00329558960.00210239650.0023601672

    0.04892592590.00213101110.00213101110.00239409240.00816781850.00213101110.00239409240.0036427150.00816781850.04892592590.04620442080.00452510350.00272150520.00216034240.0024256051

    0.05677777780.00218466560.00218466560.00243703820.00796983280.00218466560.00243703820.0033481290.00796983280.05677777780.0545759560.00462170380.00220182180.00221765920.0024683997

    0.05222222220.00219254780.00219254780.0024450080.00770679140.00219254780.0024450080.00306923570.00770679140.05222222220.05038071370.00463755570.00184150850.00222528660.0024780255

    0.05787037040.00216902070.00216902070.0024145780.00739615450.00216902070.0024145780.00281255570.00739615450.05787037040.0563969520.00458359870.00147341830.00220234080.0024483121

    0.04875925930.0021233360.0021233360.00235545380.00703796970.0021233360.00235545380.00255917990.00703796970.04875925930.04751817540.00447878980.00124108390.00215460190.0023882404

    0.04505555560.0020564570.0020564570.00226952230.00665972930.0020564570.00226952230.002333750.00665972930.04505555560.04403781490.00432597930.00101774060.00208789010.0023001513

    0.04518518520.04518518520.04438219670.0008029885

    0.04351851850.04351851850.04284814140.0006703771

    0.03148148150.03148148150.03092937530.0005521062

    0.0370370370.0370370370.0365865450.000450492

    0.04166666670.04166666670.0412779540.0003887126

    0.03888888890.03888888890.03858991970.0002989691

    0.03148148150.03148148150.03122157020.0002599113

    0.030.030.02979097780.0002090222

    0.02407407410.02407407410.02391269750.0001613765

    0.02714814810.02714814810.0270087910.0001393572

    0.02129629630.02129629630.02119062430.000105672

    0.02129629630.02129629630.02120488760.0000914087

    0.01666666670.01666666670.01658916180.0000775048

    0.01851851850.01851851850.01845490410.0000636144

    0.01481481480.01481481480.01476312090.0000516939

    0.0160370370.0160370370.01599684210.0000401949

    0.01851851850.01851851850.01848793870.0000305798

    0.01666666670.01666666670.01663913490.0000275318

    0.01388888890.01388888890.01386612120.0000227676

    0.0120370370.0120370370.01201974340.0000172937

    0.0129629630.0129629630.01294815240.0000148106

    0.0120370370.0120370370.01202454190.0000124951

    0.01388888890.01388888890.01387935030.0000095385

    0.01111111110.01111111110.0111020830.0000090281

    0.01111111110.01111111110.01110421930.0000068919

    0.00925925930.00925925930.00925361670.0000056426

    0.00833333330.00833333330.00832904740.0000042859

    0.01018518520.01018518520.01018196210.0000032231

    0.00787037040.00787037040.00786804160.0000023288

    0.00648148150.00648148150.00648005120.0000014302

    0.00370370370.00370370370.00370278950.0000009142

    p+mu- +mu+

    p

    mu+

    mu-

    Jexper.,total

    Jexper, muon

    m- + m+

    Npr,nucl.

    X, g/cm2

    J, #/cm2*s*sr

    Rc=13.7 GV

    otnoshenie_expr_simul

    0.0000000980.0000000980.00000021770.0000000980.00000021770.00323713430.00000031560.0000000980.00000021770.000000217700.00000396430.0067979821

    0.00013023730.00013023730.00015430650.00013023730.00015430650.00798867080.00028454380.00013107320.00015529220.00015430650.0002679220.003573870.0167762086

    0.00027968790.00027968790.00032818950.00027968790.00032818950.01238384280.00060787740.00028143630.00033039810.00032818950.00058786780.007634940.02600607

    0.00040510110.00040510110.000472840.00040510110.000472840.01221668670.00087794110.00040809160.00047660510.000472840.00086925160.011026940.025655042

    0.00052693470.00052693470.00061843870.00052693470.00061843870.01708753710.00114537340.00053107720.00062320540.00061843870.00114730410.014385890.0358838279

    0.00074106530.00074106530.00086355890.00074106530.00086355890.02054713130.00160462420.00074765050.00087009550.00086355890.00161186310.020154080.0431489758

    0.00092482480.00092482480.00107050960.00092482480.00107050960.02655456160.00199533440.000933750.00108054940.00107050960.00200012740.02506140.0557645794

    0.00120087580.00120087580.00137386150.00120087580.00137386150.03416777770.00257473730.00121234080.00138683120.00137386150.00259560510.03233870.0717523332

    0.00144554940.00144554940.00164419590.00144554940.00164419590.03077565620.00308974520.00146197450.00166046180.00164419590.00313304140.03880720.0646288781

    0.00163108280.00163108280.00186491240.00163108280.00186491240.03360540820.00349599520.00165004780.00188582010.00186491240.00356278660.04390970.0705713573

    0.00179160830.00179160830.00203430730.00179160830.00203430730.03857125070.00382591560.00181360670.00205828030.00203430730.00390038220.04805350.0809996265

    0.00190872610.00190872610.0021585430.00190872610.0021585430.04496659140.00406726910.00193388540.00218328820.0021585430.00416095540.05108490.094429842

    0.00199836780.00199836780.00225860670.00199836780.00225860670.04619397590.00425697450.00202545380.00228674360.00225860670.00436038220.05346760.0970073495

    0.00207212580.00207212580.00233003180.00207212580.00233003180.04188959560.00440215760.00210239650.00236016720.00233003180.00451824840.05529110.0879681507

    0.00213101110.00213101110.00239409240.00213101110.00239409240.04620442080.00452510350.00216034240.00242560510.00239409240.00463990450.05683530.0970292836

    0.00218466560.00218466560.00243703820.00218466560.00243703820.0545759560.00462170380.00221765920.00246839970.00243703820.00474737260.05804860.1146095076

    0.00219254780.00219254780.0024450080.00219254780.0024450080.05038071370.00463755570.00222528660.00247802550.0024450080.00478132170.05824770.1057994987

    0.00216902070.00216902070.0024145780.00216902070.0024145780.0563969520.00458359870.00220234080.00244831210.0024145780.00473012740.057570.1184335993

    0.0021233360.0021233360.00235545380.0021233360.00235545380.04751817540.00447878980.00215460190.00238824040.00235545380.00462200640.05625360.0997881683

    0.0020564570.0020564570.00226952230.0020564570.00226952230.04403781490.00432597930.00208789010.00230015130.00226952230.00446565290.05433430.0924794114

    0.04438219670.00204149680.00402714970.0932026131

    0.04284814140.00180350320.00356702230.089981097

    0.03092937530.00157936310.0031314650.0649516881

    0.0365865450.00138419590.00274906050.0768317445

    0.0412779540.00121808920.00242304140.0866837034

    0.03858991970.00107430730.00213797770.0810388315

    0.03122157020.00095414810.00190264330.0655652974

    0.02979097780.00085342360.0017022930.0625610534

    0.02391269750.0007685430.00153304940.0502166648

    0.0270087910.00069549120.00138851750.056718461

    0.02119062430.00063272610.00126392360.0445003109

    0.02120488760.00057979220.00115854620.044530264

    0.01658916180.00053357250.00106632480.0348372398

    0.01845490410.00049361540.00098672290.0387552986

    0.01476312090.00045881130.00091723250.0310025539

    0.01599684210.00045881130.00091723250.0335933685

    0.01848793870.0388246713

    0.01663913490.0349421833

    0.01386612120.0291188546

    0.01201974340.0252414611

    0.01294815240.02719112

    0.01202454190.025251538

    0.01387935030.0291466357

    0.0111020830.0233143744

    0.01110421930.0233188604

    0.00925361670.019432595

    0.00832904740.0174909995

    0.01018196210.0213821204

    0.00786804160.0165228874

    0.00648005120.0136081076

    0.00370278950.0077758579

    mu+

    mu-

    Jexp, mu

    m- + m+

    X, g/cm2

    J, #/cm2*s*sr

    Rc=13.7 GV

    final_icrc30

    X,g/cm2

    28.35

    E, MeVdE/dx, (Mev/g/cm2)Emin, MeV

    503.228.3590.72

    1001.628.3545.36

    3001.1628.3532.886

    10001.2428.3535.154

    100001.628.3545.36

    801.828.3551.03

    901.728.3548.195

    702.128.3559.535

    602.628.3573.71

    28jul_figure

    0.0000000980.0000000980.00000021770.0000000980.00000021770.00323713430.00000031560.0000000980.00000021770.00000021770

    0.00013023730.00013023730.00015430650.00013023730.00015430650.00798867080.00028454380.00013107320.00015529220.00015430650.000267922

    0.00027968790.00027968790.00032818950.00027968790.00032818950.01238384280.00060787740.00028143630.00033039810.00032818950.0005878678

    0.00040510110.00040510110.000472840.00040510110.000472840.01221668670.00087794110.00040809160.00047660510.000472840.0008692516

    0.00052693470.00052693470.00061843870.00052693470.00061843870.01708753710.00114537340.00053107720.00062320540.00061843870.0011473041

    0.00074106530.00074106530.00086355890.00074106530.00086355890.02054713130.00160462420.00074765050.00087009550.00086355890.0016118631

    0.00092482480.00092482480.00107050960.00092482480.00107050960.02655456160.00199533440.000933750.00108054940.00107050960.0020001274

    0.00120087580.00120087580.00137386150.00120087580.00137386150.03416777770.00257473730.00121234080.00138683120.00137386150.0025956051

    0.00144554940.00144554940.00164419590.00144554940.00164419590.03077565620.00308974520.00146197450.00166046180.00164419590.0031330414

    0.00163108280.00163108280.00186491240.00163108280.00186491240.03360540820.00349599520.00165004780.00188582010.00186491240.0035627866

    0.00179160830.00179160830.00203430730.00179160830.00203430730.03857125070.00382591560.00181360670.00205828030.00203430730.0039003822

    0.00190872610.00190872610.0021585430.00190872610.0021585430.04496659140.00406726910.00193388540.00218328820.0021585430.0041609554

    0.00199836780.00199836780.00225860670.00199836780.00225860670.04619397590.00425697450.00202545380.00228674360.00225860670.0043603822

    0.00207212580.00207212580.00233003180.00207212580.00233003180.04188959560.00440215760.00210239650.00236016720.00233003180.0045182484

    0.00213101110.00213101110.00239409240.00213101110.00239409240.04620442080.00452510350.00216034240.00242560510.00239409240.0046399045

    0.00218466560.00218466560.00243703820.00218466560.00243703820.0545759560.00462170380.00221765920.00246839970.00243703820.0047473726

    0.00219254780.00219254780.0024450080.00219254780.0024450080.05038071370.00463755570.00222528660.00247802550.0024450080.0047813217

    0.00216902070.00216902070.0024145780.00216902070.0024145780.0563969520.00458359870.00220234080.00244831210.0024145780.0047301274

    0.0021233360.0021233360.00235545380.0021233360.00235545380.04751817540.00447878980.00215460190.00238824040.00235545380.0046220064

    0.0020564570.0020564570.00226952230.0020564570.00226952230.04403781490.00432597930.00208789010.00230015130.00226952230.0044656529

    0.04438219670.00204149680.0040271497

    0.04284814140.00180350320.0035670223

    0.03092937530.00157936310.003131465

    0.0365865450.00138419590.0027490605

    0.0412779540.00121808920.0024230414

    0.03858991970.00107430730.0021379777

    0.03122157020.00095414810.0019026433

    0.02979097780.00085342360.001702293

    0.02391269750.0007685430.0015330494

    0.0270087910.00069549120.0013885175

    0.02119062430.00063272610.0012639236

    0.02120488760.00057979220.0011585462

    0.01658916180.00053357250.0010663248

    0.01845490410.00049361540.0009867229

    0.01476312090.00045881130.0009172325

    0.01599684210.00045881130.0009172325

    0.0184879387

    0.0166391349

    0.0138661212

    0.0120197434

    0.0129481524

    0.0120245419

    0.0138793503

    0.011102083

    0.0111042193

    0.0092536167

    0.0083290474

    0.0101819621

    0.0078680416

    0.0064800512

    0.0037027895

    mu+

    mu-

    Jexp, mu

    m- + m+

    X, g/cm2

    J, #/cm2*s*sr

    Rc=13.7 GV

    28jul_figure2

    Laurentmuons2.0933333333

    Xflux80Mev_2pstratosfera

    000total NN-Npr.nucl.*2.1XexpersimulatXratio

    2.50.0002679220.0033651X,g/cm^2J(1/cm2*s*sr)J(1/cm2*s*sr)X,g/cm^2

    50.00058786780.007383622.780.0129629630.00323713432.780.006797982130.00750.00431.875

    7.50.00086925160.01091786.580.01735185190.00798867086.580.01677620866.50.0170.016.51.7

    100.00114730410.0144101410.480.02138888890.012383842810.480.02600607100.0240.014101.7142857143

    150.00161186310.02024514.460.02087037040.012216686714.460.025655042300.0470.032301.46875

    200.00200012740.025121618.840.02537037040.017087537118.840.0358838279700.090.05701.8

    300.00259560510.032600825.50.02829629630.020547131325.50.04314897581000.10.061001.6666666667

    400.00313304140.03935136.450.03350.026554561636.450.05576457941500.110.0631501.746031746

    500.00356278660.044748646.280.0404629630.034167777746.280.07175233322000.1050.062001.75

    600.00390038220.048988854.50.03657407410.030775656254.50.06462887813000.090.0453002

    700.00416095540.052261663.80.03888888890.033605408263.80.07057135734000.060.0354001.7142857143

    800.00436038220.054766474.190.04333333330.038571250774.190.08099962656000.0320.0216001.5238095238

    900.00451824840.0567492850.04924074070.0449665914850.094429842

    1000.00463990450.058277296.60.050.046193975996.60.0970073495

    1200.00474737260.0596271110.04518518520.04188959561110.0879681507

    1400.00478132170.0600534130.140.04892592590.0462044208130.140.0970292836

    1600.00473012740.0594104151.330.05677777780.054575956151.330.1146095076

    1800.00462200640.0580524169.20.05222222220.0503807137169.20.1057994987

    2000.00446565290.0560886191.50.05787037040.056396952191.50.1184335993

    2500.00402714970.050581208.660.04875925930.0475181754208.660.0997881683

    3000.00356702230.0448018228.50.04505555560.0440378149228.50.0924794114

    3500.0031314650.0393312252.20.04518518520.0443821967252.20.0932026131

    4000.00274906050.0345282270.250.04351851850.0428481414270.250.089981097

    4500.00242304140.0304334289.660.03148148150.0309293753289.660.0649516881

    5000.00213797770.0268533100.0370370370.0365865453100.0768317445

    5500.00190264330.0238972324.750.04166666670.041277954324.750.0866837034

    6000.0017022930.02138083510.03888888890.03858991973510.0810388315

    6500.00153304940.01925513650.03148148150.03122157023650.0655652974

    7000.00138851750.01743978386.790.030.0297909778386.790.0625610534

    7500.00126392360.01587488412.660.02407407410.0239126975412.660.0502166648

    8000.00115854620.01455134427.330.02714814810.027008791427.330.056718461

    8500.00106632480.013393044550.02129629630.02119062434550.0445003109

    9000.00098672290.01239324469.50.02129629630.0212048876469.50.044530264

    9500.00091723250.011520444860.01666666670.01658916184860.0348372398

    10000.00091723250.01152044505.750.01851851850.0184549041505.750.0387552986

    526.50.01481481480.0147631209526.50.0310025539

    551.660.0160370370.0159968421551.660.0335933685

    5790.01851851850.01848793875790.0388246713

    589.50.01666666670.0166391349589.50.0349421833

    608.50.01388888890.0138661212608.50.0291188546

    6360.0120370370.01201974346360.0252414611

    651.50.0129629630.0129481524651.50.02719112

    668.50.0120370370.0120245419668.50.025251538

    695.50.01388888890.0138793503695.50.0291466357

    7010.01111111110.0111020837010.0233143744

    7280.01111111110.01110421937280.0233188604

    7480.00925925930.00925361677480.019432595

    775.50.00833333330.0083290474775.50.0174909995

    8040.01018518520.01018196218040.0213821204

    836.50.00787037040.0078680416836.50.0165228874

    885.250.00648148150.0064800512885.250.0136081076

    9300.00370370370.00370278959300.0077758579

    28jul_figure2

    0.00679798210

    0.01677620860.0033651

    0.026006070.00738362

    0.0256550420.0109178

    0.03588382790.01441014

    0.04314897580.020245

    0.05576457940.0251216

    0.07175233320.0326008

    0.06462887810.039351

    0.07057135730.0447486

    0.08099962650.0489888

    0.0944298420.0522616

    0.09700734950.0547664

    0.08796815070.0567492

    0.09702928360.0582772

    0.11460950760.059627

    0.10579949870.0600534

    0.11843359930.0594104

    0.09978816830.0580524

    0.09247941140.0560886

    0.09320261310.050581

    0.0899810970.0448018

    0.06495168810.0393312

    0.07683174450.0345282

    0.08668370340.0304334

    0.08103883150.026853

    0.06556529740.0238972

    0.06256105340.0213808

    0.05021666480.0192551

    0.0567184610.01743978

    0.04450031090.01587488

    0.0445302640.01455134

    0.03483723980.01339304

    0.03875529860.01239324

    0.03100255390.01152044

    0.03359336850.01152044

    0.0388246713

    0.0349421833

    0.0291188546

    0.0252414611

    0.02719112

    0.025251538

    0.0291466357

    0.0233143744

    0.0233188604

    0.019432595

    0.0174909995

    0.0213821204

    0.0165228874

    0.0136081076

    0.0077758579

    experiment

    simulation

    Rc=13.6 GV

    X, g/cm2

    J, #/cm2*s

    Geom_factor

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    X, g/cm2

    Nexper/ Nsimul.

    31july_figure

    0.00679798210

    0.01677620860.0033651

    0.026006070.00738362

    0.0256550420.0109178

    0.03588382790.01441014

    0.04314897580.020245

    0.05576457940.0251216

    0.07175233320.0326008

    0.06462887810.039351

    0.07057135730.0447486

    0.08099962650.0489888

    0.0944298420.0522616

    0.09700734950.0547664

    0.08796815070.0567492

    0.09702928360.0582772

    0.11460950760.059627

    0.10579949870.0600534

    0.11843359930.0594104

    0.09978816830.0580524

    0.09247941140.0560886

    0.09320261310.050581

    0.0899810970.0448018

    0.06495168810.0393312

    0.07683174450.0345282

    0.08668370340.0304334

    0.08103883150.026853

    0.06556529740.0238972

    0.06256105340.0213808

    0.05021666480.0192551

    0.0567184610.01743978

    0.04450031090.01587488

    0.0445302640.01455134

    0.03483723980.01339304

    0.03875529860.01239324

    0.03100255390.01152044

    0.03359336850.01152044

    0.0388246713

    0.0349421833

    0.0291188546

    0.0252414611

    0.02719112

    0.025251538

    0.0291466357

    0.0233143744

    0.0233188604

    0.019432595

    0.0174909995

    0.0213821204

    0.0165228874

    0.0136081076

    0.0077758579

    experiment

    simulation

    Rc=13.6 GV

    X, g/cm2

    J, #/cm2s

    1

    0.00679798210

    0.01677620860.0033651

    0.026006070.00738362

    0.0256550420.0109178

    0.03588382790.01441014

    0.04314897580.020245

    0.05576457940.0251216

    0.07175233320.0326008

    0.06462887810.039351

    0.07057135730.0447486

    0.08099962650.0489888

    0.0944298420.0522616

    0.09700734950.0547664

    0.08796815070.0567492

    0.09702928360.0582772

    0.11460950760.059627

    0.10579949870.0600534

    0.11843359930.0594104

    0.09978816830.0580524

    0.09247941140.0560886

    0.09320261310.050581

    0.0899810970.0448018

    0.06495168810.0393312

    0.07683174450.0345282

    0.08668370340.0304334

    0.08103883150.026853

    0.06556529740.0238972

    0.06256105340.0213808

    0.05021666480.0192551

    0.0567184610.01743978

    0.04450031090.01587488

    0.0445302640.01455134

    0.03483723980.01339304

    0.03875529860.01239324

    0.03100255390.01152044

    0.03359336850.01152044

    0.0388246713

    0.0349421833

    0.0291188546

    0.0252414611

    0.02719112

    0.025251538

    0.0291466357

    0.0233143744

    0.0233188604

    0.019432595

    0.0174909995

    0.0213821204

    0.0165228874

    0.0136081076

    0.0077758579

    experiment

    simulation

    Rc=13.6 GV

    X, g/cm2

    J, #/cm2*s

    31july07

    0.01075186150.001682550.00269208

    0.03734889590.003691810.005906896

    0.06196791860.00545890.00873424

    0.06130127150.007205070.011528112

    0.08856550640.01012250.016196

    0.10813001520.01256080.02009728

    0.14201205890.01630040.02608064

    0.1846786550.01967550.0314808

    0.16624933470.02237430.03579888

    0.18230993760.02449440.03919104

    0.21021176830.02613080.04180928

    0.24600997630.02738320.04381312

    0.25315699240.02837460.04539936

    0.22968278220.02913860.04662176

    0.25401613720.02981350.0477016

    0.30078824560.03002670.04804272

    0.27780787540.02970520.04752832

    0.31141686760.02902620.04644192

    0.26238965340.02804430.04487088

    0.24326937320.02529050.0404648

    0.24533631730.02240090.03584144

    0.23693382270.01966560.03146496

    0.17097721770.01726410.02762256

    0.20239966830.01521670.02434672

    0.22844123750.01342650.0214824

    0.21361266990.01194860.01911776

    0.17281220160.01069040.01710464

    0.16492263480.009627550.01540408

    0.13238524820.008719890.013951824

    0.14955751660.007937440.012699904

    0.11734291550.007275670.011641072

    0.11743248950.006696520.010714432

    0.09186621080.006196620.009914592

    0.10221488040.005760220.009216352

    0.08176686540.005760220.009216352

    0.0886116283

    0.1024223378

    0.0921800417

    0.0768178035

    0.0665907422

    0.071737055

    0.0666208769

    0.0769008823

    0.0615119311

    0.0615253466

    0.0512717542

    0.0461495549

    0.0564176675

    0.0435964864

    0.0359060508

    0.0205171344

    X, g/cm2

    J, cm-2 s-1

    31july07_figure

    0.00171207990.001682550.00269208

    0.00594727640.003691810.005906896

    0.0098675030.00545890.00873424

    0.0097613490.007205070.011528112

    0.01410278760.01012250.016196

    0.01721815530.01256080.02009728

    0.02261338520.01630040.02608064

    0.02940742910.01967550.0314808

    0.0264728240.02237430.03579888

    0.02903024480.02449440.03919104

    0.03347321150.02613080.04180928

    0.03917356310.02738320.04381312

    0.0403116230.02837460.04539936

    0.03657369140.02913860.04662176

    0.04044842950.02981350.0477016

    0.04789621750.03002670.04804272

    0.04423692280.02970520.04752832

    0.04958867320.02902620.04644192

    0.04178179190.02804430.04487088

    0.03873716130.02529050.0404648

    0.03906629260.02240090.03584144

    0.03772831570.01966560.03146496

    0.02722567160.01726410.02762256

    0.03222924650.01521670.02434672

    0.03637599320.01342650.0214824

    0.03401475630.01194860.01911776

    0.02751786650.01069040.01710464

    0.02626156610.009627550.01540408

    0.02108045350.008719890.013951824

    0.02381489120.007937440.012699904

    0.01868517760.007275670.011641072

    0.0186994410.006696520.010714432

    0.01462837750.006196620.009914592

    0.01627625480.005760220.009216352

    0.01302020150.005760220.009216352

    0.0141101319

    0.0163092895

    0.0146783506

    0.0122321343

    0.0106036214

    0.0114230979

    0.0106084199

    0.0122453634

    0.0097948935

    0.0097970297

    0.0081642921

    0.0073486552

    0.008983705

    0.0069421157

    0.005717524

    0.0032670596

    X, g/cm2

    J, cm-2*s-1*sr-1

    Ratio_M+-

    dlya telescopa

    nIKARmuon

    n-232.7

    G,cm2*sr-122.8

    017.810.2

    114.7

    212.68.5

    311.1

    49.9

    58.2

    67.5

    Ratio_M+-

    32.7-2

    22.8-1

    17.810.2

    14.71

    12.68.5

    11.13

    9.94

    8.25

    7.56

    28july07

    0.006193420.00435194392.52.5

    0.01366920.015117410355

    0.020154360.02508225287.57.5

    0.026618640.02481241941010

    0.037536080.03584794311515

    0.0468180.04376691092020

    0.06098620.05748107143030

    0.07368160.07475088424040

    0.08383920.06729139745050

    0.09203580.07379211766060

    0.09828240.08508571587070

    0.10314020.09957546668080

    0.10697860.10246830649090

    0.11007480.0929668404100100

    0.1129230.1028160555120120

    0.11371940.1217476232140140

    0.11262120.1124460448160160

    0.11024220.1260496845180180

    0.10674740.1062053359200200

    0.09618320.0984661749250250

    0.0852420.0993027951300300

    0.075040.0959017854350350

    0.06576060.0692050643400400

    0.05792680.0819236752450450

    0.05112880.0924643104500500

    0.04540020.0864622711550550

    0.040569220.0699477959600600

    0.036502540.0667543998650650

    0.033033840.0535845052700700

    0.030050060.0605351853750750

    0.027499720.047495942800800

    0.025294160.0475321981850850

    0.02336290.0371839425900900

    0.021696280.0413726897950950

    0.021696280.033096112210001000

    0.0358666114

    0.0414566605

    0.0373109693

    0.0310929205

    0.0269533956

    0.029036427

    0.026965593

    0.0311265476

    0.0248976864

    0.0249031165

    0.0207528529

    0.0186795817

    0.0228357226

    0.0176461969

    0.0145334015

    0.0083045544

    experiment

    Rc=13.6 GV

    simulation

    +

    X, g cm-2

    J (>100 MeV), cm-2 s-1

    22may

    22may

    000000

    00.00000352150000

    000.0000021898000

    000000

    000000

    000000

    0.00000061400000

    000.0000001289000

    0.00000129460.0000001690.0000017570.00000033840.00000129460.000000169

    0.00000206240.00000118980.0000013970.00000033720.00000160570.0000002765

    0.00000045180.00000075680.00000109860.00000054150.00000020710.0000007568

    0.00000169870.00000096190.0000007980.00000046430.00000084070.0000006364

    0.00000277280.00000119360.00000164740.00000074620.0000003420.0000008514

    0.00000497230.0000012340.00000070730.00000038380.0000015840.0000008337

    0.00000528350.00000115740.00000216990.00000108650.00000429880.0000009153

    0.00001216960.00000213470.00000269410.00000104970.00000256280.0000018814

    0.00000592430.00000344280.00000248660.00000049540.00000316320.0000017474

    0.00000527590.00000146670.00000350460.00000115060.00000225240.0000011394

    0.00000754010.00000201210.00000386440.00000140050.00000359170.0000014837

    0.00000975890.00000395390.00000506340.00000154740.00000493740.0000020611

    0.00000938130.00000400710.00000488090.00000147980.00000502950.0000026467

    0.0000134010.00000529910.00000726160.0000036530.0000080060.0000039314

    0.00001404630.00000633760.00000804140.0000033220.00000674740.0000047808

    0.0000196510.00000637940.0000105620.00000473220.00000955720.0000048167

    0.0000212650.000007640.00001229130.00000605250.00001195990.0000058049

    0.0000243190.00000877050.00001649390.00000774840.00001343210.000006685

    0.0000296320.00000991860.00001739250.0000088680.00001686290.0000074085

    0.0000317710.00001072650.00002012480.00001061840.00001952860.0000083524

    0.0000352410.00001192720.0000216890.00001244620.0000224870.0000094016

    0.0000371550.0000120880.0000243520.00001489240.0000251130.0000101333

    0.000037870.0000118940.0000253690.00001685060.0000276750.0000102197

    0.0000372510.00001119110.0000262050.00001891940.0000290120.0000103454

    0.0000363910.00001112330.0000253210.00002009010.0000306930.0000105232

    0.0000358130.00001052980.0000249630.00002073670.0000312250.0000101989

    0.0000333370.00001034240.0000243940.000021070.0000301080.0000100863

    0.000030790.00000971830.0000228420.00002015680.0000286430.0000096235

    0.0000267230.00000884190.00002025090.00001857060.0000255210.0000088346

    0.0000233980.00000827550.00001774290.00001655930.0000226260.0000082576

    0.00002031060.0000075230.00001517960.00001445060.00001993590.0000075214

    0.00001720560.00000687910.00001314260.00001277160.00001692210.0000068791

    0.00001450260.00000612920.0000109330.0000107470.00001438760.0000061292

    0.00001197350.00000528220.00000914770.00000903260.0000119220.0000052812

    0.00000964440.00000441450.00000752320.00000748230.00000963520.0000044145

    0.00000750250.00000358340.00000584290.00000582460.00000748630.0000035834

    0.00000558570.00000279860.00000447130.00000445650.00000557960.0000027984

    0.00000401120.0000020690.00000326040.00000324790.0000040110.000002069

    0.00000271630.00000148530.0000022120.00000221120.00000271620.0000014853

    0.00000175960.0000010030.00000145580.00000145580.00000175960.000001003

    0.00000108270.00000066550.00000089480.00000089460.00000108270.0000006655

    0.00000064940.00000043240.00000053810.00000053810.00000064920.0000004324

    0.00000037820.00000027210.00000031510.00000031510.00000037820.0000002721

    0.00000022320.00000016780.00000018480.00000018430.00000022320.0000001678

    0.00000012830.00000010330.00000010720.00000010720.00000012830.0000001033

    0.00000007410.00000005860.0000000620.00000006140.00000007410.0000000585

    0.00000004010.00000003490.00000003280.00000003270.00000004010.0000000349

    0.00000002220.00000001920.00000001830.00000001830.00000002210.0000000192

    0.00000001130.000000010.00000000970.00000000970.00000001130.00000001

    0.00000000580.00000000520.00000000510.00000000510.00000000580.0000000052

    0.00000000290.00000000270.00000000250.00000000250.00000000290.0000000027

    0.00000000140.00000000130.00000000120.00000000120.00000000140.0000000013

    0.00000000070.00000000060.00000000060.00000000060.00000000070.0000000006

    0.00000000030.00000000030.00000000030.00000000030.00000000030.0000000003

    0.00000000010.00000000010.00000000010.00000000010.00000000010.0000000001

    0.00000000010.00000000010.000000000100.00000000010

    000000

    000000

    000000

    000000

    000000

    000000

    100

    X=50 /c2

    500

    E, M

    J, #/c2**M

    Sravn_fig_data

    0.00435194392.52.5

    0.015117410355

    0.02508225287.57.5

    0.02481241941010

    0.03584794311515

    0.04376691092020

    0.05748107143030

    0.07475088424040

    0.06729139745050

    0.07379211766060

    0.08508571587070

    0.09957546668080

    0.10246830649090

    0.0929668404100100

    0.1028160555120120

    0.1217476232140140

    0.1124460448160160

    0.1260496845180180

    0.1062053359200200

    0.0984661749250250

    0.0993027951300300

    0.0959017854350350

    0.0692050643400400

    0.0819236752450450

    0.0924643104500500

    0.0864622711550550

    0.0699477959600600

    0.0667543998650650

    0.0535845052700700

    0.0605351853750750

    0.047495942800800

    0.0475321981850850

    0.0371839425900900

    0.0413726897950950

    0.033096112210001000

    0.0358666114

    0.0414566605

    0.0373109693

    0.0310929205

    0.0269533956

    0.029036427

    0.026965593

    0.0311265476

    0.0248976864

    0.0249031165

    0.0207528529

    0.0186795817

    0.0228357226

    0.0176461969

    0.0145334015

    0.0083045544

    Rc= 13.6 GV

    X, g cm-2

    J (>70 MeV), cm-2 s-1

    Equatorial data

    Equatorial data

    0.006193420.00435194392.52.5

    0.01366920.015117410355

    0.020154360.02508225287.57.5

    0.026618640.02481241941010

    0.037536080.03584794311515

    0.0468180.04376691092020

    0.06098620.05748107143030

    0.07368160.07475088424040

    0.08383920.06729139745050

    0.09203580.07379211766060

    0.09828240.08508571587070

    0.10314020.09957546668080

    0.10697860.10246830649090

    0.11007480.0929668404100100

    0.1129230.1028160555120120

    0.11371940.1217476232140140

    0.11262120.1124460448160160

    0.11024220.1260496845180180

    0.10674740.1062053359200200

    0.09618320.0984661749250250

    0.0852420.0993027951300300

    0.075040.0959017854350350

    0.06576060.0692050643400400

    0.05792680.0819236752450450

    0.05112880.0924643104500500

    0.04540020.0864622711550550

    0.040569220.0699477959600600

    0.036502540.0667543998650650

    0.033033840.0535845052700700

    0.030050060.0605351853750750

    0.027499720.047495942800800

    0.025294160.0475321981850850

    0.02336290.0371839425900900

    0.021696280.0413726897950950

    0.021696280.033096112210001000

    0.0358666114

    0.0414566605

    0.0373109693

    0.0310929205

    0.0269533956

    0.029036427

    0.026965593

    0.0311265476

    0.0248976864

    0.0249031165

    0.0207528529

    0.0186795817

    0.0228357226

    0.0176461969

    0.0145334015

    0.0083045544

    experiment

    Rc=13.6 GV

    simulation

    +

    X, g cm-2

    J (>100 MeV), cm-2 s-1

    000000

    00.00000352150000

    000.0000021898000

    000000

    000000

    000000

    0.00000061400000

    000.0000001289000

    0.00000129460.0000001690.0000017570.00000033840.00000129460.000000169

    0.00000206240.00000118980.0000013970.00000033720.00000160570.0000002765

    0.00000045180.00000075680.00000109860.00000054150.00000020710.0000007568

    0.00000169870.00000096190.0000007980.00000046430.00000084070.0000006364

    0.00000277280.00000119360.00000164740.00000074620.0000003420.0000008514

    0.00000497230.0000012340.00000070730.00000038380.0000015840.0000008337

    0.00000528350.00000115740.00000216990.00000108650.00000429880.0000009153

    0.00001216960.00000213470.00000269410.00000104970.00000256280.0000018814

    0.00000592430.00000344280.00000248660.00000049540.00000316320.0000017474

    0.00000527590.00000146670.00000350460.00000115060.00000225240.0000011394

    0.00000754010.00000201210.00000386440.00000140050.00000359170.0000014837

    0.00000975890.00000395390.00000506340.00000154740.00000493740.0000020611

    0.00000938130.00000400710.00000488090.00000147980.00000502950.0000026467

    0.0000134010.00000529910.00000726160.0000036530.0000080060.0000039314

    0.00001404630.00000633760.00000804140.0000033220.00000674740.0000047808

    0.0000196510.00000637940.0000105620.00000473220.00000955720.0000048167

    0.0000212650.000007640.00001229130.00000605250.00001195990.0000058049

    0.0000243190.00000877050.00001649390.00000774840.00001343210.000006685

    0.0000296320.00000991860.00001739250.0000088680.00001686290.0000074085

    0.0000317710.00001072650.00002012480.00001061840.00001952860.0000083524

    0.0000352410.00001192720.0000216890.00001244620.0000224870.0000094016

    0.0000371550.0000120880.0000243520.00001489240.0000251130.0000101333

    0.000037870.0000118940.0000253690.00001685060.0000276750.0000102197

    0.0000372510.00001119110.0000262050.00001891940.0000290120.0000103454

    0.0000363910.00001112330.0000253210.00002009010.0000306930.0000105232

    0.0000358130.00001052980.0000249630.00002073670.0000312250.0000101989

    0.0000333370.00001034240.0000243940.000021070.0000301080.0000100863

    0.000030790.00000971830.0000228420.00002015680.0000286430.0000096235

    0.0000267230.00000884190.00002025090.00001857060.0000255210.0000088346

    0.0000233980.00000827550.00001774290.00001655930.0000226260.0000082576

    0.00002031060.0000075230.00001517960.00001445060.00001993590.0000075214

    0.00001720560.00000687910.00001314260.00001277160.00001692210.0000068791

    0.00001450260.00000612920.0000109330.0000107470.00001438760.0000061292

    0.00001197350.00000528220.00000914770.00000903260.0000119220.0000052812

    0.00000964440.00000441450.00000752320.00000748230.00000963520.0000044145

    0.00000750250.00000358340.00000584290.00000582460.00000748630.0000035834

    0.00000558570.00000279860.00000447130.00000445650.00000557960.0000027984

    0.00000401120.0000020690.00000326040.00000324790.0000040110.000002069

    0.00000271630.00000148530.0000022120.00000221120.00000271620.0000014853

    0.00000175960.0000010030.00000145580.00000145580.00000175960.000001003

    0.00000108270.00000066550.00000089480.00000089460.00000108270.0000006655

    0.00000064940.00000043240.00000053810.00000053810.00000064920.0000004324

    0.00000037820.00000027210.00000031510.00000031510.00000037820.0000002721

    0.00000022320.00000016780.00000018480.00000018430.00000022320.0000001678

    0.00000012830.00000010330.00000010720.00000010720.00000012830.0000001033

    0.00000007410.00000005860.0000000620.00000006140.00000007410.0000000585

    0.00000004010.00000003490.00000003280.00000003270.00000004010.0000000349

    0.00000002220.00000001920.00000001830.00000001830.00000002210.0000000192

    0.00000001130.000000010.00000000970.00000000970.00000001130.00000001

    0.00000000580.00000000520.00000000510.00000000510.00000000580.0000000052

    0.00000000290.00000000270.00000000250.00000000250.00000000290.0000000027

    0.00000000140.00000000130.00000000120.00000000120.00000000140.0000000013

    0.00000000070.00000000060.00000000060.00000000060.00000000070.0000000006

    0.00000000030.00000000030.00000000030.00000000030.00000000030.0000000003

    0.00000000010.00000000010.00000000010.00000000010.00000000010.0000000001

    0.00000000010.00000000010.000000000100.00000000010

    000000

    000000

    000000

    000000

    000000

    000000

    100 g/cm2

    X=50 g/cm2

    500 g/cm2

    E, MeV

    J, #/cm2*s*MeV

    0.01075186150.001682550.001682550.001414160.003096710.006193420.00435194392.52.50.0041805585

    0.03734889590.003691810.003691810.003142790.00683460.01366920.0151174103550.00922671

    0.06196791860.00545890.00545890.004618280.010077180.020154360.02508225287.57.50.013604193

    0.06130127150.007205070.007205070.006104250.013309320.026618640.024812419410100.017967582

    0.08856550640.01012250.01012250.008645540.018768040.037536080.035847943115150.025336854

    0.10813001520.01256080.01256080.01084820.0234090.0468180.043766910920200.03160215

    0.14201205890.01630040.01630040.01419270.03049310.06098620.057481071430300.041165685

    0.1846786550.01967550.01967550.01716530.03684080.07368160.074750884240400.04973508

    0.16624933470.02237430.02237430.01954530.04191960.08383920.067291397450500.05659146

    0.18230993760.02449440.02449440.02152350.04601790.09203580.073792117660600.062124165

    0.21021176830.02613080.02613080.02301040.04914120.09828240.085085715870700.06634062

    0.24600997630.02738320.02738320.02418690.05157010.10314020.099575466680800.069619635

    0.25315699240.02837460.02837460.02511470.05348930.10697860.102468306490900.072210555

    0.22968278220.02913860.02913860.02589880.05503740.11007480.09296684041001000.07430049

    0.25401613720.02981350.02981350.0266480.05646150.1129230.10281605551201200.076223025

    0.30078824560.03002670.03002670.0268330.05685970.11371940.12174762321401400.076760595

    0.27780787540.02970520.02970520.02660540.05631060.11262120.11244604481601600.07601931

    0.31141686760.02902620.02902620.02609490.05512110.11024220.12604968451801800.074413485

    0.26238965340.02804430.02804430.02532940.05337370.10674740.10620533592002000.072054495

    0.24326937320.02529050.02529050.02280110.04809160.09618320.09846617492502500.06492366

    0.24533631730.02240090.02240090.02022010.0426210.0852420.09930279513003000.05753835

    0.23693382270.01966560.01966560.01785440.037520.075040.09590178543503500.050652

    0.17097721770.01726410.01726410.01561620.03288030.06576060.06920506434004000.044388405

    0.20239966830.01521670.01521670.01374670.02896340.05792680.08192367524504500.03910059

    0.22844123750.01342650.01342650.01213790.02556440.05112880.09246431045005000.03451194

    0.21361266990.01194860.01194860.01075150.02270010.04540020.08646227115505500.030645135

    0.17281220160.01069040.01069040.009594210.020284610.040569220.06994779596006000.0273842235

    0.16492263480.009627550.009627550.008623720.018251270.036502540.06675439986506500.0246392145

    0.13238524820.008719890.008719890.007797030.016516920.033033840.05358450527007000.022297842

    0.14955751660.007937440.007937440.007087590.015025030.030050060.06053518537507500.0202837905

    0.11734291550.007275670.007275670.006474190.013749860.027499720.0474959428008000.018562311

    0.11743248950.006696520.006696520.005950560.012647080.025294160.04753219818508500.017073558

    0.09186621080.006196620.006196620.005484830.011681450.02336290.03718394259009000.0157699575

    0.10221488040.005760220.005760220.005087920.010848140.021696280.04137268979509500.014644989

    0.08176686540.005760220.005760220.005087920.010848140.021696280.0330961122100010000.014644989

    0.08861162830.0358666114

    0.10242233780.0414566605

    0.09218004170.0373109693

    0.07681780350.0310929205

    0.06659074220.0269533956

    0.0717370550.029036427

    0.06662087690.026965593

    0.07690088230.0311265476

    0.06151193110.0248976864

    0.06152534660.0249031165

    0.05127175420.0207528529

    0.04614955490.0186795817

    0.05641766750.0228357226

    0.04359648640.0176461969

    0.03590605080.0145334015

    0.02051713440.0083045544

    mu-

    mu+

    (mu- +mu+)

    muons*2

    experiment

    X, g/cm2

    J, cm-2 s-1

    1.1897875771

    1.1746919139

    1.182020146

    1.1803366507

    1.1708349045

    1.1578695083

    1.1485059221

    1.1462368849

    1.1447406793

    1.1380305248

    1.1356082467

    1.1321500482

    1.1298004754

    1.125094599

    1.1187894026

    1.1190213543

    1.1165101821

    1.1123322948

    1.107183747

    1.1091789431

    1.1078530769

    1.1014427816

    1.1055250317

    1.1069347553

    1.1061633396

    1.1113426034

    1.1142553686

    1.1164033619

    1.1183604526

    1.1199067666

    1.1237961815

    1.12535963

    1.1297743048

    1.1321365116

    1.1321365116

    X,g/cm2

    >100 MEV (m+)/(mu-) ratio

    Okonchateljnue dannue dlya statji !!!! ICRC_30 po muonam !!!raschetu 31 july

    G=9 cm2*srdannue dlya ICRC_30 Figure6

    stratosfera

    Penetration component, sea expedition, 11.1975-3.1976; Moscow;Npr. nulc.=Noexp(-X/100)G=10,2cm2*srG=8.4 cm2*somega=1

    2.5 cm Pb (particles without showers); G=9.0 cm^2 sr at n=0muonsn=2Omega=0,53sr

    dlyaG=10,2cm2*srn=0omega=2

    Rc=13.6 GV (5 flights: 13.17; 13.17; 13.43; 13.98; 14.17 GV)1/minstratraschetutotal NN-Npr.nucl.J,cm-2*s-1N-Npr.nucl.N-Npr.nucl.

    intervalX,g/cm^2N/mindNnNpr.nucl.N-Npr.nucl.0.0043X,g/cm^2J(1/cm2*s*sr)J(1/cm2*s*sr)X,g/cm^2J,cm-2*s-1X,g/cm^2J(1/cm2*s)X,g/cm^2J(1/cm2*s*sr)

    02.7870.8165.951.050.005132.780.01143790850.00171207992.780.00435194390.01075186152.780.01075186150.00171207990.00342415972.780.0017120799

    16.589.370.985.733.646.580.01531045750.00594727646.580.01511741030.03734889596.580.03734889590.00594727640.01189455286.580.0059472764

    210.4811.550.5595.516.040.011183170.0094310.480.0188725490.00986750310.480.02508225280.061967918610.480.06196791860.0098675030.019735005910.480.009867503

    314.4611.270.52115.305.9714.460.01841503270.00976134914.460.02481241940.061301271514.460.06130127150.0097613490.019522697914.460.009761349

    418.8413.70.78105.078.6318.840.02238562090.014102787618.840.03584794310.088565506418.840.08856550640.01410278760.028205575318.840.0141027876

    525.515.280.82144.7410.540.012525.50.02496732030.017218155325.50.04376691090.108130015225.50.10813001520.01721815530.034436310625.50.0172181553

    636.4518.090.82114.2513.840.014636.450.02955882350.022613385236.450.05748107140.142012058936.450.14201205890.02261338520.045226770336.450.0226133852

    746.2821.851.4873.8518.0046.280.03570261440.029407429146.280.07475088420.18467865546.280.1846786550.02940742910.058814858346.280.0294074291

    854.519.750.8383.5516.200.03000253390.0271x=5054.50.03227124180.02647282454.50.06729139740.166249334754.50.16624933470.0264728240.05294564854.50.026472824

    963.8212.4253.2317.7763.80.03431372550.029030244863.80.07379211760.182309937663.80.18230993760.02903024480.058060489763.80.0290302448

    1074.1923.41.2852.9120.4974.190.03823529410.033473211574.190.08508571580.210211768374.190.21021176830.03347321150.06694642374.190.0334732115

    118526.590.9252.6223.97850.04344771240.0391735631850.09957546660.2460099763850.24600997630.03917356310.0783471262850.0391735631

    1296.6271.5852.3324.6796.60.04411764710.04031162396.60.10246830640.253156992496.60.25315699240.0403116230.08062324696.60.040311623

    1311124.40.5952.0222.381110.0398692810.03657369141110.09296684040.22968278221110.22968278220.03657369140.07314738291110.0365736914

    14130.1426.421.171.6724.751.4696127836130.140.04316993460.0404484295130.140.10281605550.2540161372130.140.25401613720.04044842950.080896859130.140.0404484295

    15151.3330.662.8431.3529.31151.330.05009803920.0478962175151.330.12174762320.3007882456151.330.30078824560.04789621750.0957924349151.330.0478962175

    16169.228.21.1551.1327.07169.20.04607843140.0442369228169.20.11244604480.2778078754169.20.27780787540.04423692280.0884738457169.20.0442369228

    17191.531.251.4940.9030.35191.50.05106209150.0495886732191.50.12604968450.3114168676191.50.31141686760.04958867320.0991773464191.50.0495886732

    18208.6626.332.3330.7625.57208.660.04302287580.0417817919208.660.10620533590.2623896534208.660.26238965340.04178179190.0835635839208.660.0417817919

    19228.524.330.7660.6223.71228.50.0397549020.0387371613228.50.09846617490.2432693732228.50.24326937320.03873716130.0774743227228.50.0387371613

    20252.224.41.4350.4923.91252.20.0398692810.0390662926252.20.09930279510.2453363173252.20.24533631730.03906629260.0781325851252.20.0390662926

    21270.2523.51.740.4123.09270.250.03839869280.0377283157270.250.09590178540.2369338227270.250.23693382270.03772831570.0754566314270.250.0377283157

    22289.66170.5730.3416.66289.660.02777777780.0272256716289.660.06920506430.1709772177289.660.17097721770.02722567160.0544513432289.660.0272256716

    2331020120.2819.723100.03267973860.03222924653100.08192367520.20239966833100.20239966830.03222924650.06445849313100.0322292465

    24324.7522.51.5540.2422.26324.750.03676470590.0363759932324.750.09246431040.2284412375324.750.22844123750.03637599320.0727519865324.750.0363759932

    2535121130.1820.823510.03431372550.03401475633510.08646227110.21361266993510.21361266990.03401475630.06802951273510.0340147563

    26365172.0830.1616.843650.02777777780.02751786653650.06994779590.17281220163650.17281220160.02751786650.0550357333650.0275178665

    27386.7916.20.9650.1316.07386.790.02647058820.0262615661386.790.06675439980.1649226348386.790.16492263480.02626156610.0525231321386.790.0262615661

    28412.66131.1530.1012.90412.660.02124183010.0210804535412.660.05358450520.1323852482412.660.13238524820.02108045350.0421609071412.660.0210804535

    29427.3314.662.3330.0914.57427.330.02395424840.0238148912427.330.06053518530.1495575166427.330.14955751660.02381489120.0476297823427.330.0238148912

    3045511.51.3240.0611.444550.01879084970.01868517764550.0474959420.11734291554550.11734291550.01868517760.03737035534550.0186851776

    31469.511.51.520.0611.44469.50.01879084970.018699441469.50.04753219810.1174324895469.50.11743248950.0186994410.037398882469.50.018699441

    3248690.2610.058.954860.01470588240.01462837754860.03718394250.09186621084860.09186621080.01462837750.0292567554860.0146283775

    33505.75100.440.049.96505.750.01633986930.0162762548505.750.04137268970.1022148804505.750.10221488040.01627625480.0325525097505.750.0162762548

    34526.58020.037.97526.50.01307189540.0130202015526.50.03309611220.0817668654526.50.08176686540.01302020150.026040403526.50.0130202015

    35551.668.660.3330.028.64551.660.01415032680.0141101319551.660.03586661140.0886116283551.660.08861162830.01411013190.0282202638551.660.0141101319

    3657910120.029.985790.01633986930.01630928955790.04145666050.10242233785790.10242233780.01630928950.03261857895790.0163092895

    37589.59120.028.98589.50.01470588240.0146783506589.50.03731096930.0921800417589.50.09218004170.01467835060.0293567012589.50.0146783506

    38608.57.50.520.017.49608.50.0122549020.0122321343608.50.03109292050.0768178035608.50.07681780350.01223213430.0244642686608.50.0122321343

    396366.50.520.016.496360.0106209150.01060362146360.02695339560.06659074226360.06659074220.01060362140.02120724276360.0106036214

    40651.57120.016.99651.50.01143790850.0114230979651.50.0290364270.071737055651.50.0717370550.01142309790.0228461959651.50.0114230979

    41668.56.50.520.016.49668.50.0106209150.0106084199668.50.0269655930.0666208769668.50.06662087690.01060841990.0212168398668.50.0106084199

    42695.57.50.520.017.49695.50.0122549020.0122453634695.50.03112654760.0769008823695.50.07690088230.01224536340.0244907268695.50.0122453634

    4370160.1710.015.997010.00980392160.00979489357010.02489768640.06151193117010.06151193110.00979489350.0195897877010.0097948935

    447286120.006.007280.00980392160.00979702977280.02490311650.06152534667280.06152534660.00979702970.01959405947280.0097970297

    457485130.005.007480.00816993460.00816429217480.02075285290.05127175427480.05127175420.00816429210.01632858417480.0081642921

    46775.54.50.520.004.50775.50.00735294120.0073486552775.50.01867958170.0461495549775.50.04614955490.00734865520.0146973105775.50.0073486552

    478045.50.520.005.508040.00898692810.0089837058040.02283572260.05641766758040.05641766750.0089837050.017967418040.008983705

    48836.54.250.7540.004.25836.50.00694444440.0069421157836.50.01764619690.0435964864836.50.04359648640.00694211570.0138842313836.50.0069421157

    49885.253.50.8640.003.50885.250.00571895420.005717524885.250.01453340150.0359060508885.250.03590605080.0057175240.011435048885.250.005717524

    509302120.002.009300.00326797390.00326705969300.00830455440.02051713449300.02051713440.00326705960.00653411929300.0032670596

    Dannue raschetov po GEANT-431 july 2007

    1/cm2*s1/cm2*sXif FLUX, intf FLUX, intTOTALXtotal*1.35total*2X,g/cm2(m+/m-) ratio

    Laurent1/cm2*s*srychet yader HEg/cm21/cm2*s1/cm2*sMu-+Mu+g/cm2ychet He

    Xflux80Mev_2pX*1.351.6-------------MUON++++MUON ------------------ychet He +yadra

    000000

    2.50.0002679220.001682552.50.001682550.002692080.0026920800000000

    50.00058786780.0036918150.003691810.0059068960.0059068962.50.001682550.001414160.003096712.50.00418055850.006193422.51.1897875771

    7.50.00086925160.00545897.50.00545890.008734240.0087342450.003691810.003142790.006834650.009226710.013669251.1746919139

    100.00114730410.00720507100.007205070.0115281120.0115281127.50.00545890.004618280.010077187.50.0136041930.020154367.51.182020146

    150.00161186310.0101225150.01012250.0161960.016196100.007205070.006104250.01330932100.0179675820.02661864101.1803366507

    200.00200012740.0125608200.01256080.020097280.02009728150.01012250.008645540.01876804150.0253368540.03753608151.1708349045

    300.00259560510.0163004300.01630040.026080640.02608064200.01256080.01084820.023409200.031602150.046818201.1578695083

    400.00313304140.0196755400.01967550.03148080.0314808300.01630040.01419270.0304931300.0411656850.0609862301.1485059221

    500.00356278660.0223743500.02237430.035798880.03579888400.01967550.01716530.0368408400.049735080.0736816401.1462368849

    600.00390038220.0244944600.02449440.039191040.03919104500.02237430.01954530.0419196500.056591460.0838392501.1447406793

    700.00416095540.0261308700.02613080.041809280.04180928600.02449440.02152350.0460179600.0621241650.0920358601.1380305248

    800.00436038220.0273832800.02738320.043813120.04381312700.02613080.02301040.0491412700.066340620.0982824701.1356082467

    900.00451824840.0283746900.02837460.045399360.04539936800.02738320.02418690.0515701800.0696196350.1031402801.1321500482

    1000.00463990450.02913861000.02913860.046621760.04662176900.02837460.02511470.0534893900.0722105550.1069786901.1298004754

    1200.00474737260.02981351200.02981350.04770160.04770161000.02913860.02589880.05503741000.074300490.11007481001.125094599

    1400.00478132170.03002671400.03002670.048042720.048042721200.02981350.0266480.05646151200.0762230250.1129231201.1187894026

    1600.00473012740.02970521600.02970520.047528320.047528321400.03002670.0268330.05685971400.0767605950.11371941401.1190213543

    1800.00462200640.02902621800.02902620.046441920.046441921600.02970520.02660540.05631061600.076019310.11262121601.1165101821

    2000.00446565290.02804432000.02804430.044870880.044870881800.02902620.02609490.05512111800.0744134850.11024221801.1123322948

    2500.00402714970.02529052500.02529050.04046480.04046482000.02804430.02532940.05337372000.0720544950.10674742001.107183747

    3000.00356702230.02240093000.02240090.035841440.035841442500.02529050.02280110.04809162500.064923660.09618322501.1091789431

    3500.0031314650.01966563500.01966560.031464960.031464963000.02240090.02022010.0426213000.057538350.0852423001.1078530769

    4000.00274906050.01726414000.01726410.027622560.027622563500.01966560.01785440.037523500.0506520.075043501.1014427816

    4500.00242304140.01521674500.01521670.024346720.024346724000.01726410.01561620.03288034000.0443884050.06576064001.1055250317

    5000.00213797770.01342655000.01342650.02148240.02148244500.01521670.01374670.02896344500.039100590.05792684501.1069347553

    5500.00190264330.01194865500.01194860.019117760.019117765000.01342650.01213790.02556445000.034511940.05112885001.1061633396

    6000.0017022930.01069046000.01069040.017104640.017104645500.01194860.01075150.02270015500.0306451350.04540025501.1113426034

    6500.00153304940.009627556500.009627550.015404080.015404086000.01069040.009594210.020284616000.02738422350.040569226001.1142553686

    7000.00138851750.008719897000.008719890.0139518240.0139518246500.009627550.008623720.018251276500.02463921450.036502546501.1164033619

    7500.00126392360.007937447500.007937440.0126999040.0126999047000.008719890.007797030.016516927000.0222978420.033033847001.1183604526

    8000.00115854620.007275678000.007275670.0116410720.0116410727500.007937440.007087590.015025037500.02028379050.030050067501.1199067666

    8500.00106632480.006696528500.006696520.0107144320.0107144328000.007275670.006474190.013749868000.0185623110.027499728001.1237961815

    9000.00098672290.006196629000.006196620.0099145920.0099145928500.006696520.005950560.012647088500.0170735580.025294168501.12535963

    9500.00091723250.005760229500.005760220.0092163520.0092163529000.006196620.005484830.011681459000.01576995750.02336299001.1297743048

    10000.00091723250.0057602210000.005760220.0092163520.0092163529500.005760220.005087920.010848149500.0146449890.021696289501.1321365116

    10000.005760220.005087920.0108481410000.0146449890.0216962810001.1321365116

    80.0000 350.000 0.000103898 0.0196656

    80.0000 400.000 8.71484e-005 0.0172641

    80.0000 450.000 7.35032e-005 0.0152167

    80.0000 500.000 6.13513e-005 0.0134265

    80.0000 550.000 5.21221e-005 0.0119486

    80.0000 600.000 4.42741e-005 0.0106904

    80.0000 650.000 3.81825e-005 0.00962755

    80.0000 700.000 3.28199e-005 0.00871989

    80.0000 750.000 2.82739e-005 0.00793744

    80.0000 800.000 2.50087e-005 0.00727567

    80.0000 850.000 2.21598e-005 0.00669652

    80.0000 900.000 1.97033e-005 0.00619662

    80.0000 950.000 1.75919e-005 0.00576022

    80.0000 1000.00 1.75919e-005 0.005760220.00576022/6.280.0009172325

    Penetration component, sea expedition, 11.1975-3.1976; Moscow;Npr. nulc.=Noexp(-X/100)raschetu Laurenta

    2.5 cm Pb (particles without showers); G=9.0 cm^2 sr at n=0muons

    stratosferaEmin,XFLUX,dFLUX, intXFLUX, int

    Rc=13.6 GV (5 flights: 13.17; 13.17; 13.43; 13.98; 14.17 GV)1/minstratraschetutotal NN-Npr.nucl.MeVg/cm21/cm2*s*MeV1/cm2*sg/cm21/cm2*s*sr

    intervalX,g/cm^2N/mindNnNpr.nucl.N-Npr.nucl.0.0043X,g/cm^2J(1/cm2*s*sr)J(1/cm2*s*sr)----------------------------------------------------------------------------

    02.7870.8165.251.750.005132.780.0129629630.0032371343muons_plus

    16.589.370.985.064.316.580.01735185190.007988670810001.49E-092.73E-0602.18E-07

    210.4811.550.5594.866.690.01238384280.0094310.480.02138888890.01238384281002.58.58E-060.001938092.51.54E-04

    314.4611.270.52114.676.6014.460.02087037040.012216686710051.99E-050.0041220653.28E-04

    418.8413.70.78104.479.2318.840.02537037040.01708753711007.52.96E-050.005938877.54.73E-04

    525.515.280.82144.1811.100.012525.50.02829629630.0205471313100104.00E-050.00776759106.18E-04

    636.4518.090.82113.7514.340.014636.450.03350.0265545616100155.80E-050.0108463158.64E-04

    746.2821.851.4873.4018.4546.280.0404629630.0341677777100207.38E-050.0134456201.07E-03

    854.519.750.8383.1316.620.03077565620.0271x=5054.50.03657407410.0307756562100309.54E-050.0172557301.37E-03

    963.8212.4252.8518.1563.80.03888888890.0336054082100400.0001194970.0206511401.64E-03

    1074.1923.41.2852.5720.8374.190.04333333330.0385712507100500.0001376030.0234233501.86E-03

    118526.590.9252.3124.28850.04924074070.0449665914100600.0001534250.0255509602.03E-03

    1296.6271.5852.0624.9496.60.050.0461939759100700.0001640470.0271113702.16E-03

    1311124.40.5951.7822.621110.04518518520.0418895956100800.0001738290.0283681802.26E-03

    14130.1426.421.171.4724.951.4696127836130.140.04892592590.0462044208100900.0001799010.0292652902.33E-03

    15151.3330.662.8431.1929.47151.330.05677777780.0545759561001000.0001865150.03006981002.39E-03

    16169.228.21.1550.9927.21169.20.05222222220.05038071371001200.0001898050.03060921202.44E-03

    17191.531.251.4940.8030.45191.50.05787037040.0563969521001400.0001904420.03070931402.45E-03

    18208.6626.332.3330.6725.66208.660.04875925930.04751817541001600.0001883660.03032711602.41E-03

    19228.524.330.7660.5523.78228.50.04505555560.04403781491001800.0001830970.02958451802.36E-03

    20252.224.41.4350.4323.97252.20.04518518520.04438219671002000.0001735330.02850522002.27E-03

    21270.2523.51.740.3623.14270.250.04351851850.0428481414

    22289.66170.5730.3016.70289.660.03148148150.0309293753

    2331020120.2419.763100.0370370370.036586545

    24324.7522.51.5540.2122.29324.750.04166666670.041277954

    2535121130.1620.843510.03888888890.0385899197

    26365172.0830.1416.863650.03148148150.0312215702Muons_ minus

    27386.7916.20.9650.1116.09386.790.030.0297909778

    28412.66131.1530.0912.91412.660.02407407410.0239126975Emin,XFLUX,diff.FLUX, intXFLUX, int

    29427.3314.662.3330.0814.58427.330.02714814810.027008791MeVg/cm21/cm2*s* MeV1/cm2* sg/cm21/cm2*s*sr

    3045511.51.3240.0611.444550.02129629630.0211906243---------------------------------------------------------------->100 MeVmu+ +mu-(mu+ +mu-)*4pi

    31469.511.51.520.0511.45469.50.02129629630.0212048876X,g/cm2mu-mu+protonsTOTALX,g/cm2X,g/cm2muons2.0933333333

    3248690.2610.048.964860.01666666670.016589161810009.61E-111.23E-0609.80E-080.00000021775.15E-035.15E-0303.16E-0703.96E-06stratosfera

    33505.75100.440.039.97505.750.01851851850.01845490411002.57.45E-060.001635782.51.30E-040.00015430654.80E-035.08E-032.52.85E-042.53.57E-03total NN-Npr.nucl.*2.1

    34526.58020.037.97526.50.01481481480.014763120910051.74E-050.0035128852.80E-040.00032818954.81E-035.42E-0356.08E-0457.63E-03X,g/cm^2J(1/cm2*s*sr)J(1/cm2*s*sr)X,g/cm^2

    35551.668.660.3330.028.64551.660.0160370370.01599684211007.52.61E-050.005088077.54.05E-040.000472844.79E-035.67E-037.58.78E-047.51.10E-022.780.0129629630.00323713432.780.0067979821

    3657910120.029.985790.01851851850.0184879387100103.57E-050.0066183105.27E-040.00061843874.80E-035.95E-03101.15E-03101.44E-026.580.01735185190.00798867086.580.0167762086

    37589.59120.018.99589.50.01666666670.0166391349100155.09E-050.00930778157.41E-040.00086355894.75E-036.36E-03151.60E-03152.02E-0210.480.02138888890.012383842810.480.02600607

    38608.57.50.520.017.49608.50.01388888890.0138661212100206.55E-050.0116158209.25E-040.00107050964.74E-036.74E-03202.00E-03202.51E-0214.460.02087037040.012216686714.460.025655042

    396366.50.520.016.496360.0120370370.0120197434100308.70E-050.015083301.20E-030.00137386154.63E-037.21E-03302.57E-03303.23E-0218.840.02537037040.017087537118.840.0358838279

    40651.57120.016.99651.50.0129629630.0129481524100400.0001080980.0181561401.45E-030.00164419594.51E-037.60E-03403.09E-03403.88E-0225.50.02829629630.020547131325.50.0431489758

    41668.56.50.520.016.49668.50.0120370370.0120245419100500.0001248260.0204864501.63E-030.00186491244.39E-037.88E-03503.50E-03504.39E-0236.450.03350.026554561636.450.0557645794

    42695.57.50.520.017.49695.50.01388888890.0138793503100600.0001405520.0225026601.79E-030.00203430734.24E-038.07E-03603.83E-03604.81E-0246.280.0404629630.034167777746.280.0717523332

    4370160.1710.006.007010.01111111110.011102083100700.0001523560.0239736701.91E-030.0021585434.09E-038.16E-03704.07E-03705.11E-0254.50.03657407410.030775656254.50.0646288781

    447286120.006.007280.01111111110.0111042193100800.0001589010.0250995802.00E-030.00225860673.94E-038.20E-03804.26E-03805.35E-0263.80.03888888890.033605408263.80.0705713573

    457485130.005.007480.00925925930.0092536167100900.0001668390.0260259902.07E-030.00233003183.79E-038.20E-03904.40E-03905.53E-0274.190.04333333330.038571250774.190.0809996265

    46775.54.50.520.004.50775.50.00833333330.00832904741001000.0001728910.02676551002.13E-030.00239409243.64E-038.17E-031004.53E-031005.68E-02850.04924074070.0449665914850.094429842

    478045.50.520.005.508040.01018518520.01018196211001200.0001794510.02743941202.18E-030.00243703823.35E-037.97E-031204.62E-031205.80E-0296.60.050.046193975996.60.0970073495

    48836.54.250.7540.004.25836.50.00787037040.00786804161001400.0001795470.02753841402.19E-030.0024450083.07E-037.71E-031404.64E-031405.82E-021110.04518518520.04188959561110.0879681507

    49885.253.50.8640.003.50885.250.00648148150.00648005121001600.0001776360.02724291602.17E-030.0024145782.81E-037.40E-031604.58E-031605.76E-02130.140.04892592590.0462044208130.140.0970292836

    509302120.002.009300.00370370370.00370278951001800.0001732810.02666911802.12E-030.00235545382.56E-037.04E-031804.48E-031805.63E-02151.330.05677777780.054575956151.330.1146095076

    511002000.0001663040.02582912002.06E-030.00226952232.33E-036.66E-032004.33E-032005.43E-02169.20.05222222220.0503807137169.20.1057994987

    191.50.05787037040.056396952191.50.1184335993

    208.660.04875925930.0475181754208.660.0997881683

    228.50.04505555560.0440378149228.50.0924794114

    protons252.20.04518518520.0443821967252.20.0932026131

    Npr.nucl.X,g/cm^2Npr,1/cm2*s*srEmin,XFLUX,diff.FLUX, intXFLUX, int270.250.04351851850.0428481414270.250.089981097

    5.25194746522.780.0097258286MeVg/cm21/cm2*s* MeV1/cm2* sg/cm21/cm2*s*sr289.660.03148148150.0309293753289.660.0649516881

    5.05611778966.580.0093631811----------------------------------------------------------------3100.0370370370.0365865453100