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Fig. 5

image

Two PSS at ω/f = [ 2.21,0.567 ] of the ray dynamics in the traditional approximation in a spherical star rotating at Ω = 0.38ΩK. The fλ,ω(kr,r) = 0 curves shown are the imprint on the PSS of the invariant tori of the integrable dynamics. They are drawn for the quantised values of λ(ℓ,ω/f), where is the degree of the spherical harmonics of the corresponding mode at Ω = 0 and is varied from 1 to 30. The increase of the gap between the fλ,ω(kr,r) = 0 curves as ω decreases is due to the increase of λ with f/ω. Tori in green correspond to gravito-inertial modes labelled by their quantum numbers at zero rotation, that is the (n,ℓ) = (3,3) mode (top) and the (n,ℓ) = (50,3) mode (bottom).

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