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The Landau damping of geodesic acoustic mode in a toroidal rotating tokamak plasma is analytically investigated by taking into account the finite-orbit-width resonance effect to the 3rd order. The analytical result is shown to agree well with the numerical solution. The dependence of the damping rate on the toroidal Mach number M relies on krρi. For sufficiently small krρi, the damping rate monotonically decreases with M. For relatively large krρi, the damping rate increases with M until approaching the maximum and then decreases with M.

Finite-orbit-width effects on the geodesic acoustic mode in the toroidally rotating tokamak plasma