Initial stratification of density and inverse scale height for r_⋆/R = 1.001 (strongest stratification), 1.01, 1.05, and 1.1. The dashed lines mark the position of the reference radius r_ref = 0.95   R, where ρ/ρ₀ ≈ 0.0068 for r_⋆/R = 1.001 and H_p(r) = H_p0 by definition. The dotted line marks the value of η_t/β_⋆u_rmsH_p0.