Fifty years of progress in geomagnetic cutoff rigidity determinations

Advances in Space Research

Volumn 44, Issue 10, 2009, Pages 1107-1123

  Smart, D F ^a   Shea, M A ^a  

^a AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Cosmic ray radiation dose; Cosmic ray trajectory tracing; Cosmic rays; Cutoff rigidity calculation history; Geomagnetic cutoff rigidity; Geomagnetic field

Indexed keywords

COMPUTATION THEORY; COSMOLOGY; DIGITAL COMPUTERS; GEOMAGNETISM; MAGNETOSPHERE; RIGIDITY; TRAJECTORIES;

COMPUTATIONAL EFFORT; CUT-OFF RIGIDITY; EXPERIMENTAL VERIFICATION; GEOMAGNETIC FIELDS; PARTICLE TRANSMISSION; RAY RADIATION; RAY TRAJECTORIES; TRAJECTORY CALCULATIONS;

COSMIC RAYS;

EID: 70349823409     PISSN: 02731177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asr.2009.07.005     Document Type: Article

References (99)

1. Barraclough D.R. Spherical Harmonic Models of the Geomagnetic Field, Geomagnetic Bulletin 8 (1978), Her Majesty's Stationery Office, London
2. Boberg P.R., Tylka A., Adams J., Flückiger E.O., and Kobel E. Geomagnetic transmission of solar energetic particles during the geomagnetic disturbance of October 1989. Geophys. Res. Lett. 22 (1995) 1133-1136
3. Bobik P., Storini M., Kudela K., and Cordaro E.G. Cosmic-ray transparency for a medium-latitude observatory, Nuovo Cimento della Societa Italiana di Fisica. Geophys. Space Phys. 26 2 (2003) 177-189
4. Bobik P., Boella G., Boschini M.J., Gervasi M., Grandi D., Kudela K., Pensotti S., and Rancoita P.G. Magnetospheric transmission function approach to disentangle primary from secondary cosmic ray fluxes in the penumbra region. J. Geophys. Res. 111 A5 (2006) A05205
5. Bütikofer, R., Flückiger, E.O., Smart, D.F., Shea, M.A. Effects of the magnetosheath on cosmic ray particle propagation in near-earth space, in: Proceedings of the 24th International Cosmic Ray Conference, vol. 4, pp. 1070-1073, 1995.
6. Clem J.M., Bieber J.W., Evenson P., Hall D., Humble J.E., and Duldig M. Contribution of obliquely incident particles to neutron monitor counting rate. J. Geophys. Res. 102 A12 (1997) 26919-26926
7. Clilverd M.A., Rodger C.J., Moffat-Griffin T., and Verronen P.T. Improved dynamic geomagnetic rigidity cutoff modeling: testing predictive accuracy. J. Geophys. Res. Space Phys. 112 A8 (2007) A08302
8. Cramp J.L., Duldig M.L., Flückiger E.O., Humble J.E., Shea M.A., and Smart D.F. The October 22, 1989, solar cosmic ray enhancement: an analysis of the anisotropy and spectral characteristics. J. Geophys. Res. 102 (1997) 24237-24248
9. Cogger, L.L., Magnetic Cut-off Rigidities According to the Formulations of P. Rothwell and of J.J. Quenby, and W.R. Webber, Atomic Energy of Canada, Ltd. Research Report AECL-1104, CRGP-965, Chalk River, Ontario, Canada, 1960.
10. Cooke D.J., Humble J.E., Shea M.A., Smart D.F., Lund N., Rasmussen I.L., Byrank B., Goret P., and Petrou N. On Cosmic-ray cut-off terminology. Il Nuovo Cimento C 14 (1991) 213-234
11. Cooper, J.F., Simpson, J.A. Origin of the large-scale difference in the observed magnetic rigidity dependence of the cosmic radiation for two solar cycles - 1954-1965 and 1965-1976, in: 16th International Cosmic Ray Conference, Conference Papers, vol. 12, pp. 176-181, 1979.
12. Copenhagen-Saclay Collaboration, The HEAO-3 French Danish cosmic ray spectrometer: preliminary results of the elemental abundances of cosmic ray nuclei in the iron peak. Adv. Space Res. 1, 173-184, 1981.
13. Desorgher L., Kudela K., Flückiger E.O., Bütikofer R., Storini M., and Kalegaev V. Comparison of Earth's magnetospheric magnetic field models in the context of cosmic ray physics. Acta Geophys. 57 (2009) 75-87
14. Dorman L.I., Danilova O.A., Iucci N., Parisi M., Ptitsyna N.G., Tyasto M.I., and Villoresi G. Effective non-vertical and apparent cutoff rigidities for a cosmic ray latitude survey from Antarctica to Italy in minimum of solar activity. Adv. Space Res. 42 (2008) 510-516
15. Dwyer R., and Meyer P. Isotopic composition of cosmic-ray nitrogen at 1.5 GeV/amu. Phys. Rev. Lett. 35 9 (1975) 601-604
16. Dyer C.S., Lei F., Clucas S.N., Smart D.F., and Shea M.A. Calculations and observations of solar particle enhancements to the radiation environment at aircraft altitudes. Adv. Space Res. 32 (2003) 81-93
17. Dyer C.S., Lei F., Hands A., and Truscott P. Solar particle events in the QuinetiQ atmospheric radiation model. IEEE Trans. NS 54 4 (2007) 1071-1075
18. Engelmann J.J. Charge composition and energy spectra of cosmic-ray nuclei for elements from Be to Ni - results from HEAO-3-C2. Astron. Astrophys. 233 (1990) 96-111
19. Engelmann J.J., Goret P., Julinsson E., et al. Source energy spectra of heavy cosmic ray nuclei as derived from the French-Danish experiment on HEAO-3. Astron. Astrophys. 148 (1985) 12-21
20. EPCARD. Available from: .
21. FAA-Friedberg, CARI-6. Available from: .
22. Finch H.P., and Leaton B.R. The earth's main magnetic field-epoch 1955.0. Mon. Not. R. Astrom. Soc. Geophys. Suppl. 7 (1957) 314-317
23. Flückiger E.O., and Kobel E. Aspects of combining models of the Earth's internal and external magnetic field. J. Geomag. Geoelectr. 42 9 (1990) 1123-1136
24. Flückiger, E.O., Bütikofer, R., Desorgher, L., Moser, M.R. Global cosmic ray cutoff rigidities over the past 2000 years, in: Proceedings of the 28th ICRC, pp. 4229-4232, 2003.
25. Freon A., and McCracken K.G. A note on the vertical cutoff rigidities of cosmic rays in the geomagnetic field. J. Geophys. Res. 67 (1962) 888-890
26. Gall R., and Bravo S. Geostationary satellites and anisotropies of cosmic rays propagation in the interplanetary medium. J. Geophys. Res. 75 (1970) 7284-7289
27. Gall, R., Orozco, A., Marin, C., Hurtado, A., Vidargas, G. Tables of approach direction and points of entry of cosmic rays for higher latitude cosmic ray stations, Technical Report. Instituto de Geofisica, Universidad Nacional Autonoma de Mexico, 1982.
28. Gall R., Smart D.F., and Shea M.A. The daily variation of cosmic-ray cutoff at the altitude of a geostationary satellite. In: Kondratyev K.Ya., Rycroft M.J., and Sagan C. (Eds). Space Research XI vol. 2 (1971), Akademie-Verlag, Berlin 1259-1264
29. Gall R., Smart D.F., and Shea M.A. The direct mode of propagation of cosmic rays to geostationary satellites. Planet. Space Sci. 19 (1971) 1419-1430
30. Humble, J.E., Smart, D.F., Shea, M.A. Cosmic ray cutoffs at 400 km applicable to the HEAO-C satellite, in: 16th International Cosmic Ray Conference, Conference Papers, vol. 4, pp. 303-308, 1979.
31. Humble, J.E., Smart, D.F., Shea, M.A. Cosmic ray access to earth satellites from below horizon directions, in: 17th International Cosmic Ray Conference, Conference Papers, vol. 10, pp. 270-273, 1981.
32. IGRF, IGRF 1992 Revision, EOS, Trans. Am. Geophys. Union 73 (16), 182, 1992.
33. IGRF-10. Available from: .
34. IQSY Instruction Manual No. 10, Cosmic Ray Tables, Asymptotic Directions, Variational Coefficients and Cut-off Rigidities, IQSY Committee, London, 1965.
35. Jensen D.C., and Cain J.C. An interim geomagnetic field (abstract). J. Geophys. Res. 67 (1962) 3568
36. Jory F.S. Selected cosmic ray orbits in the earth's magnetic field. Phys. Rev. 40 (1956) 711-717
37. Kasper J.K. The Earth's simple shadow effects on cosmic radiation. Il Nuvo Cimento (Suppl.) Xi (1959) 1-26
38. Kodama M. Cosmic rays at sea level and the earth's magnetic field. Sci. Papers Inst. Phys. Chem. Res. 54 (1960) 20-42
39. König P.J., and Stoker P.H. Displaced isorigidity contours in the North Atlantic for 1975. J. Geophys. Res. 86 (1981) 219-233
40. Korte M., and Constable C.G. Spatial and temporal resolution of millennial scale geomagnetic field models. Adv. Space Res. 41 (2008) 57-69
41. Kudela K., and Bobik P. Long-term variations of geomagnetic rigidity cutoffs. Solar Phys. 224 (2004) 423-431
42. Kudela K., Bucik R., and Bobik P. On transmissivity of low energy cosmic rays in disturbed magnetosphere. Adv. Space Res. 42 (2008) 1300-1306
43. Langlais B., and Mandea M. An IGRF candidate geomagnetic field for epoch 2000 and a secular variation model for 2000-2005. Earth Planet. Space 57 (2000) 1137-1148
44. Larrson, L., Anderson, R., Mathiesen, O. Cosmic ray particles with low rigidity at Palestine, Texas, in: 13th International Cosmic Ray Conference, Conference Papers, vol. 2, pp. 1082-1087, 1973.
45. Lemaitre G., and Vallarta M.S. On the geomagnetic analysis of cosmic. Radiat. Phys. Rev. 49 (1936) 719-726
46. Lemaitre G., and Vallarta M.S. On the allowed cone of cosmic radiation. Phys. Rev. 50 (1936) 493-504
47. Lifton N., Smart D.F., and Shea M.A. Scaling time-integrated in situ cosmogenic nuclide production using a continuous geomagnetic field model. Earth Planet. Sci. Lett. 268 (2008) 190-201
48. Lust R. Impact zones for solar cosmic ray particles. Phys. Rev. 105 (1957) 1827-1839
49. Lyon J.G., Fedder J.A., and Mobarry C.M. The Lyon-Fedder-Moberry (LFM) global MHD magnetosphere simulation code. J. Atmos. Solar Terr. Phys. 66 (2004) 1333-1350
50. MAGNETOCOSMICS. Available from: .
51. Mathiesen O., Larsson L., and Andersson R. The energy distribution of very heavy cosmic ray nuclei within the penumbra at Palestine, Texas. J. Geophys. Res. 80 (1975) 3519-3524
52. Merrill R.T., McElhinny M.W., and McFadden Pl.L. The Magnetic Field of the Earth: Paleomagnetism, the Core and the Deep Mantle (1997), Academic Press, San Diego, CA
53. Mischke, C.F.W., Raubenheimer, B.C., Stoker, P.H., van der Walt, A.J., Shea, M.A., Smart, D.F. Experimental observations of secular changes in the vertical cutoff rigidity, in: 16th International Cosmic Ray Conference, Conference Papers, vol. 4, pp. 279-284, 1979.
54. McCracken K.G. Blast Off (2008), New Holland Publishers, Sydney
55. McCracken, K.G., Rao, U.R., Shea, M.A. The Trajectories of Cosmic Rays in a High Degree Simulation of the Geomagnetic Field. Massachusetts Institute of Technology Technical Report No. 77, NYO-2670, Cambridge, MA, USA, August 1962.
56. McCracken K.G., Rao U.R., and Venkatesan D. Asymptotic cones of acceptance and their use in the daily variation of cosmic radiation. J. Geophys. Res. 68 (1963) 345-369
57. O'Brien K., Smart D.F., Shea M.A., Flesberger E., Schrewe U., Friedberg W., and Copeland K. World-wide radiation dosage calculations for air crew members. Adv. Space Res. 31 (2003) 835-840
58. Pennypacker C.R., Smoot G.F., Buffington A., Muller R.A., and Smith L.S. Measurements of geomagnetic cutoff rigidities and particle fluxes below geomagnetic cutoff near Palestine, Texas. J. Geophys. Res. 78 (1973) 1515-1527
59. Pomerantz M.A., and Agarwal S.P. Spatial distribution of cosmic ray intensity and geomagnetic theory. Phil. Mag. 7 (1962) 1503-1511
60. Quenby J.J., and Webber W.R. Cosmic ray cutoff rigidities and the earth's magnetic field. Phil. Mag. 4 (1959) 90-113
61. Quenby J.J., and Wenk G.J. Cosmic ray threshold rigidities and the earth's magnetic field. Phil. Mag. 7 (1962) 1457-1485
62. Rodger C.J., Clilverd M.A., Verronen P.T., Ulich T., Jarvis M.J., and Turunen E. Dynamic geomagnetic rigidity cutoff variations during a solar proton event. J. Geophys. Res. 111 (2006) A04222 10.1029/2005JA011395
63. Sabata T.J., Langel R.A., Baldwin R.T., and Conrad J.A. The geomagnetic field, 1900-1995, including the large scale fields from magnetospheric sources and NASA candidate models for the 1995 revision of the IGRF. J. Geomag. Geoelectr. 49 (1997) 157-206
64. Schraube, H., Leuthold, G.P., Heinrich, W., Roesler, S., Combecher, D. European program package for the calculation of aviation route doses, version 3.0, National Research Center for Environment and Health Institute of Radiation Protection, D-85758 Neuherberg, Germany, December 2000.
65. Shea M.A. A comparison of theoretical and experimental cosmic-ray equators. J. Geophys. Res. 74 (1969) 2407-2413
66. Shea, M.A. Changes in neutron monitor response and vertical cutoff rigidities resulting from secular variations in the geomagnetic field, in: 12th International Conference on Cosmic Rays, Hobart, Conference Papers (University of Tasmania), vol. 3, pp. 859-864, 1971.
67. Shea, M.A., Smart, D.F. Vertical cutoff rigidities in the south Atlantic, in: Smith-Rose, R.L. (Ed.), Space Research VI, Spartan Books, Washington, DC, pp. 177-188, 1966a.
68. Shea M.A., and Smart D.F. Cosmic ray cutoff rigidity calculations and their application to experimental measurements. In: Gauger J., and Masley A.J. (Eds). Recent Advances in Cosmic Ray Research (1966), Western Periodicals Co., North Hollywood, CA 19-54
69. Shea M.A., and Smart D.F. Secular variations in cosmic ray cutoff rigidities. J. Geophys. Res. 75 (1970) 3921-3922
70. Shea, M.A., Smart, D.F. Tables of Asymptotic Directions and Vertical Cutoff Rigidities for a Five Degree by Fifteen Degree World Grid as Calculated Using the International Geomagnetic Reference Field for Epoch 1965.0, Air Force Cambridge Research Laboratories Environmental Research Papers No. 524, AFCRL-TR-75-0381, Bedford, MA, 17 July 1975.
71. Shea, M.A., Smart, D.F. A world grid of calculated cosmic ray vertical cutoff rigidities for 1980.0, in: 18th International Cosmic Ray Conference, Conference Papers, vol. 3, pp. 415-418, 1983.
72. Shea M.A., and Smart D.F. The influence of the changing geomagnetic field on cosmic ray measurements. J. Geomag. Geoelectr. 42 (1990) 1107-1121
73. Shea, M.A., Smart, D.F. Vertical cutoff rigidities for cosmic ray stations since 1955, in: 27th International Cosmic Ray Conference, vol. 10, pp. 4063-4066, 2001.
74. Shea, M.A., Smart, D.F. Preliminary study of the 400-year geomagnetic cutoff rigidity changes, cosmic rays and possible climate changes, in: 28th International Cosmic Ray Conference, vol. 7, pp. 4205-4208, 2003.
75. Shea M.A., and Smart D.F. Preliminary study of cosmic rays, geomagnetic field changes and possible climate changes. Adv. Space Res. 34 (2004) 420-426
76. Shea M.A., Smart D.F., and McCracken K.G. A study of vertical cutoff rigidities using sixth degree simulations of the geomagnetic field. J. Geophys. Res. 70 17 (1965) 4117-4130
77. Shea M.A., Smart D.F., and McCall J.R. A five degree by fifteen degree World Grid of trajectory-determined vertical cutoff rigidities. Can. J. Phys. 46 (1968) S1098-1011
78. Smart D.F., and Shea M.A. Daily variation of electron and proton geomagnetic cutoffs calculated for Fort Churchill, Canada. J. Geophys. Res. 77 (1972) 4595-4601
79. Smart, D.F., Shea, M.A. Cosmic-ray penumbral effects for selected balloon launching locations, in: 14th International Cosmic Ray Conference, Conference Papers, vol. 4, pp. 1304-1308, 1975.
80. Smart, D.F., Shea, M.A. Geomagnetic cutoff rigidity calculations at 50-year intervals between 1600 and 2000, in: 28th International Cosmic Ray Conference, vol. 7, pp. 4201-4204, 2003.
81. Smart D.F., and Shea M.A. A review of geomagnetic cutoff rigidities for earth-orbiting spacecraft. Adv. Space Res. 36 (2005) 2012-2020
82. Smart, D.F., Shea, M.A. Vertical geomagnetic cutoff rigidities for Epoch 2000 - deviations from expected latitude curves, in: Duldig, M. (Ed.), Advances in Geosciences, vol. 2 - Solar Terrestrial, World Scientific, Singapore, pp. 277-285, 2006.
83. Smart, D.F., Shea, M.A. World grid of calculated cosmic ray vertical cutoff rigidities for Epoch 2000.0, in: 30th International Cosmic Ray Conference, vol. 1, pp. 737-740, 2008 (also on CD-Rom. Available from: ).
84. Smart D.F., Shea M.A., and Gall R. The daily variation of trajectory-derived high-latitude cutoff rigidities in a model magnetosphere. J. Geophys. Res. 74 (1969) 4731-4738
85. Smart, D.F., Shea, M.A., Lund, N., Rasmussen, I.L., Byrnak, B., Westergaard, N.J. Cosmic ray penumbral patterns derived from the trajectory calculations for the HEAO-C satellite, in: 16th International Cosmic Ray Conference, Conference Papers, vol. 12, pp. 237-242, 1979.
86. Smart D.F., Shea M.A., and Flückiger E.O. Magnetospheric models and trajectory computations. Space Sci. Rev. 93 (2000) 305-333
87. Smart, D. F., Shea, M. A., Golightly, M. J., Weyland, M., Johnson, A. S. Simulation of the solar proton dose observed during the STS-28 flight, in: 27th International Cosmic Ray Conference, vol. 10, pp. 4015-4018, 2001.
88. Smart D.F., Shea M.A., Tylka A.J., and Boberg P.R. A geomagnetic cutoff rigidity interpolation tool: accuracy verification and application to space weather. Adv. Space Res. 37 (2006) 1206-1217
89. Storini, M., Shea, M.A., Smart, D.F., Cordaro, E.G. Cutoff variability for the Antarctic laboratory for cosmic rays (LARC:1955-1995), in: 26th International Cosmic Ray Conference, vol. 7, pp. 402-405, 1999.
90. Storini, M., Smart, D.F., Shea, M.A. Cosmic ray asymptotic directions for Yangbajing (Tibet) experiments, in: 27th International Cosmic Ray Conference, vol. 10, pp. 4106-4109, 2001.
91. Storini, M., Smart, D.F., Shea, M.A. Summary of LARC particle asymptotic changes from geomagnetic reference field models: 1955-1995, in: Colacino, M. (Ed.), 9th Workshop, Italian Research on Antarctic Atmosphere, Società Italiana di Fisica, Bologna, Italy, pp. 409-421, 2002.
92. Storini M., Metteo P., and Moreno G. Effects of geomagnetic secular variations on cosmic ray access to the terrestrial environment. Adv. Space Res. 41 (2008) 70-75
93. Störmer C. Periodische Elektronenbahnen im Felde Lines Elementarmagneton und ihre Anwendung auf Bruches Modellverauche und auf Eschenhagnes Elementarwellen des Erdmagnetismus. Zeits. Astrophys. 1 (1930) 231-274
94. Störmer C. The Polar Aurora (1950), Oxford University Press, London
95. Tsyganenko N.A. Determination of magnetospheric current system parameters and development of experimental geomagnetic field models based on data from IMP and HEOS satellites. Planet. Space Sci. 37 (1989) 5-20
96. Tsyganenko N.A., and Stern D.P. Modeling the global magnetic field of the large-scale Birkland current systems. J. Geophys. Res. 101 (1996) 27181-27198
97. Tsyganenko N.A., and Sitnov M.I. Modeling the dynamics of the inner magnetosphere during strong geomagnetic storms. J. Geophys. Res. 110 (2005) A03208 10.1029/2004JA010798
98. Vogt J., Zieger B., Glassmeier K.-H., Stadelmann A., Kallenrode M.-B., Sinnhuber M., and Winkler H. Energetic particles in the paleomagnetosphere: reduced dipole configurations and quadrupolar contributions. J. Geophys. Res. 112 A6 (2007) A06216
99. Weygand J.M., and Raeder J. Cosmic ray cutoff prediction using magnetic field from global magnetosphere MHD simulations. Ann. Geophys. 23 4 (2005) 1441-1453