Abstract
The orbits of magnetically trapped and weakly circulating particles in axisymmetric toroidal confinement configurations are investigated in the presence of coherent electrostatic modes which are standing along the magnetic field lines. In particular, modes with electric potentials that are even around the point of minimum magnetic field and zero at the point of maximum magnetic field are considered as they are typical of an important class of trapped particle instabilities. 'Quasi-banana' orbits, that remain trapped, and 'quasi-circulating' orbits, that are alternately trapped and circulating, are found. Deeply trapped particles are not significantly affected by even modes and the radial excursions, of the weakly trapped or weakly circulating orbits that are effected by these modes, are much smaller than those resulting from odd modes of comparable amplitudes.
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