(a) Radial structure of the eigenfunction of v_θ at the equator for the n = 0 equatorial Rossby modes in the inviscid, uniformly rotating, and adiabatically stratified case. Overplotted dashed lines represent theoretically predicted radial dependence v_θ ∝ r^m. The eigenfunctions are normalized to unity at the surface r = r_max. (b) Latitudinal structure of the eigenfunction of v_θ at the surface. Dashed lines are the theoretical solution in the form of Legendre polynomials, v_θ ∝ sin^m − 1θ. All the eigenfunctions are normalized at the equator.