Matrix Methods of Cosmic Ray Propagation

  • John Letaw
  • C. H. Tsao
  • R. Silberberg
Part of the NATO ASI Series book series (ASIC, volume 107)


Matrix methods of cosmic ray propagation involve reduction of the propagation equations to a set of coupled linear differential equations. This reduction results in an elegant separation of local propagation effects, such as nuclear fragmentation, from global effects such as pathlength distribution. The matrix equations are solved by simple methods. We show how the reduction to linear form is made for ionization loss and solar modulation. In addition, we show how to calculate propagation errors.


Matrix Method Ionization Loss Solar Modulation Modification Matrix Electron Capture Decay 
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  1. Cowsik, R. and Wilson, L.W., Proc. 13th Int. Conf. on Cosmic Rays, Denver, 1973, p. 500.Google Scholar
  2. Ginzburg, V.L. and Syrovatskii, S.I., The Origin of Cosmic Rays, Macmillan Company, New York 1964.Google Scholar
  3. Gleeson, L.J. and Axford, W.I., Ap. J., 154, 1011, 1968.ADSCrossRefGoogle Scholar
  4. Letaw, R.J., Silberberg, R. and Tsao, C.H., “Proton-Nucleus Total Inelastic Cross-Sections: An Empirical Formula for E ( 10 MeV” (submitted for publication.)Google Scholar
  5. Silberberg, R. and Tsao, C.H., Ap. J. Suppl., 259, 315 - 368, 1973.ADSCrossRefGoogle Scholar
  6. Wilson, L.W., Ph.D. Thesis, University of California (Berkeley), 1979.Google Scholar

Copyright information

© D. Reidel Publishing Company 1983

Authors and Affiliations

  • John Letaw
    • 1
    • 3
  • C. H. Tsao
    • 2
  • R. Silberberg
    • 2
  1. 1.Advanced Research CorporationColumbiaUSA
  2. 2.Laboratory for Cosmic Ray PhysicsNaval Research LaboratoryUSA
  3. 3.Naval Research Lab.USA

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