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Crude Approximations to Some Aspects of Three-Dimensional Magnetospheric Dynamics

  • John M. Cornwall
Part of the Astrophysics and Space Science Library book series (ASSL, volume 44)

Abstract

It is quite well understood in principle how to formulate and solve dynamical problems in a three-dimensional magnetosphere (i.e., one in which all three adiabatic invariants M, J, Φ come into play), given the relevant diffusion coefficients, loss rates, and so forth (Haerendel, 1968; Lanzerotti and Schulz, 1973). But there are very severe practical difficulties in carrying out a truly three-dimensional calculation, and practically none exist in the literature. Two-dimensional calculations abound: radial diffusion of equatorially-mirroring (J =0) particles, pitch angle scattering at fixed L (or fixed Φ). In many cases this is not good enough; for example, most data on energetic trapped α-particles (e.g., Fennell et al., 1973) are off-equatorial, but theory (e.g., Cornwall, 1972) has concentrated on J=0 particles.

Keywords

Pitch Angle Radial Diffusion Magnetic Diffusion Adiabatic Invariant Pitch Angle Diffusion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Cornwall, J. M.: 1972, J. Geophys. Res. 77, 1756.ADSCrossRefGoogle Scholar
  2. Fennell, J. F., Blake, J. B., and Paulikas, G. A.: 1973, J. Geophys. Res. to be published.Google Scholar
  3. Haerendel, G.: 1968, in B. M. McCormac (ed), Earth’s Particles and Fields, Reinhold Publishing Company, New York, p. 171.Google Scholar
  4. Hamasaki, S. and Krall, N.: 1973, Phys. Fluids 16, 145.ADSCrossRefGoogle Scholar
  5. Kennel, C. F. and Engelmann, F.: 1966, Phys. Fluids 9, 2377.ADSCrossRefGoogle Scholar
  6. Lanzerotti, L. J. and Schulz, M.: 1973, Particle Diffusion in the Radiation Belts, Springer-Verlag, Berlin.Google Scholar
  7. Nakada, W., Dungey, J. W., and Hess, W.: 1965, J. Geophys. Res. 70, 3529.ADSCrossRefGoogle Scholar
  8. Roux, A. and Solomon, J.: 1971, J. Atmospheric Terrest. Phys. 33, 1457.ADSCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht-Holland 1974

Authors and Affiliations

  • John M. Cornwall
    • 1
    • 2
  1. 1.Space Physics LaboratoryThe Aerospace CorporationLos AngelesUSA
  2. 2.Department of PhysicsUniversity of CaliforniaLos AngelesUSA

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