Density profiles of the 0.3 M⊙ ZAMS (top panel) and 1.0 M⊙ ZAMS (bottom panel) compared with the density profiles of γ = 1.35 (dotted–dashed) and γ = 5/3 (dashed) polytropes with the same mass and radius. For the 0.3 M⊙ ZAMS star, the γ = 5/3 polytrope provides an excellent fit, while for the 1.0 M⊙ ZAMS star the γ = 1.35 polytrope provides an excellent fit.