Collisionless particle orbits in a torsatron with the complicated magnetic-field harmonic spectrum. II. Adiabatic invariants of particle motion

Charged particle orbits are investigated in a torsatron with the complicated magnetic-field harmonic spectrum where the distant, high-order harmonics (the harmonics of the toroidal-field ripple) are present. The investigation is carried out on the basis of the adiabatic invariants of particle motion. The validity of the analytical expressions for the adiabatic invariants derived in the previous works are examined for the case of the torsatron magnetic field perturbed by the toroidal-field ripple of the arbitrary value and periodicity. For a torsatron endash heliotron [K. Uo, J. Phys. Soc. Jpn. 16, 1380 (1961)] where the TF ripple of the magnetic field of periodicity equals twice the number of the helical field periods, exact analytical expressions for the adiabatic invariants of motion are derived for all possible kinds of particle orbits. copyright 1996 American Institute of Physics