Numerical Analysis of Drift Orbits in Min-B Anchored Tandem Mirror Gamma 10

Abstract

The drift orbit in the axisymmetrized tandem mirror Gamma 10 is calculated without recourse to the paraxial approximation, but with the use of the accurate magnetic field. The electrostatic potential is ignored. Two types of characteristic orbits are found, one is the higher order resonant orbit and the other the stochastic broadening orbit. Higher order resonant orbits occur in those particles which are trapped in a far-axis region of the combined central and anchor cell region, whereas stochastic broadening orbits are found for the particles trapped in the anchor cell region alone. The resonance conditions for higher order resonances are given by Δθ\simeqπ⁄6 and π⁄4 where Δθ is the drift azimuthal angle. These resonant orbits occur in the low energy regime, and thus they are expected to give a significant influence on the transport process in the far-axis region of Gamma 10.