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Table 2.

Dispersion relations of the modes of the model with uniform rotation (Ω = Ω0), ν = κ = 0, and δ = 0.

m ℜ[ω]/Ω0
Equatorial Rossby modes Columnar convective modes High-latitude modes
n = 0 n = 1 ζz sym. ζz antisym. ζz sym. ζz antisym.
0 – −0.629 – 0.629 – –
1 −0.999 −0.527 0.151 0.694 −0.303 −0.173
2 −0.666 −0.447 0.290 0.758 −0.293 −0.172
3 −0.499 −0.380 0.410 0.824 −0.258 −0.166
4 −0.399 −0.328 0.518 0.883 −0.216 −0.157
5 −0.333 −0.286 0.612 0.938 −0.181 −0.149
6 −0.285 −0.253 0.682 0.990 −0.161 −0.141
7 −0.249 −0.226 0.743 1.029 −0.144 −0.133
8 −0.222 −0.204 0.792 1.053 −0.131 −0.126
9 −0.199 −0.185 0.822 1.061 −0.121 −0.120
10 −0.181 −0.170 0.846 1.056 −0.111 −0.114
11 −0.166 −0.156 0.863 1.049 −0.103 −0.109
12 −0.153 −0.145 0.873 1.041 −0.096 −0.104
13 −0.142 −0.135 0.881 1.033 −0.092 −0.099
14 −0.133 −0.126 0.887 1.024 −0.089 −0.095
15 −0.124 −0.119 0.889 1.015 −0.085 −0.091
16 −0.117 −0.112 0.889 1.006 −0.083 −0.087

Notes. All the frequencies are measured in the corotating frame. For the equatorial Rossby modes, n denotes the number of radial nodes for vθ at the equator. For the other two types modes, at fixed m, there are both modes with north-south symmetric and and antisymmetric z-vorticity ζz where z denotes the rotational axis. These different dispersion relations and their connections are plotted in Fig. 10.

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