Inverse of the Rossby number (ν_s) as a function of the frequency (σ/2π) for axisymmetric waves . We assume that Ω_s/2π = 430   nHz. In the purely hydrodynamical case (namely those of gravito-inertial waves), the TA is allowed in the super-inertial regime where 2Ω_s < σ (i.e. ν_s < 1).