Abstract
Properties of combined mirror-multiple cusp magnetic fields and the motion of charged particles in such fields are presented for the cases of mirror-quadrupole and mirror-hexapole fields. The two methods used to study the motion numerically are: the adiabatic motion in terms of the magnetic moment and longitudinal invariant of the particle; and the guiding center motion. The regions of stable containment in these field configurations are determined by means of the adiabatic motion. The guiding center motion is used to determine when the simpler method of the adiabatic motion is valid. For weakly stabilized field configurations, the adiabatic motion is valid; however, for strongly stabilized field configurations, the guiding center motion shows that the adiabatic dsecription has a very limited range of validity. In addition, the effects of shear and torsion of the field on the guiding center motion are shown.
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