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)


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.


Pitch Angle Radial Diffusion Magnetic Diffusion Adiabatic Invariant Pitch Angle Diffusion 
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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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