Es. Chebterrab et Ag. Elfimov, THE SOLUTION OF VLASOVS EQUATION FOR COMPLICATED PLASMA GEOMETRY .1. SPHERICAL TYPE, Computer physics communications, 85(2), 1995, pp. 251-266
The asymptotic solution of Vlasov's equation for complicated plasma ge
ometry (spherical type) using the computer algebra system Maple is pre
sented. The approximation of small ion and electron Larmor radii (drif
t approximation) for a dipole magnetic field configuration modeling th
e earth's plasmasphere was used. The method of solution introduces ell
iptic integrals as variables, which makes it possible to obtain result
s in a relatively simple manner. A bounce resonance factor (connected
with trapped particles) different from the one appearing in the Landau
damping case is found.