[en] Considerable evidence now exists that hot particles within the q = 1 surface of a tokamak improves the stability of the m = 1 mode. This is particularly evident for the monster sawtooth phenomena in JET, where high energy particles (∼1 MeV) are created in the tokamak center by ICRF heating. Previous theories have generally assumed that the kinetic effects of the high energy particle response can be described using banana orbit theory, where the particle displacement from a flux surface is small compared to the flux surface radius. This assumption does not satisfy experimental conditions, and a more general orbit description is needed to describe the correct kinetic response to the perturbed MHD energy. The theory was reported previously and the quantitative numerical results are reported here for a class of equilibria of hot particles. The differences between the theories of using banana orbits and using the correct orbits are emphasized. 1 ref