where e is the eccentricity of meridional cross-sections of the spheroid, ρ ρ is the density and G is the gravitational constant. The formula predicts two possible equilibrium figures, one which approaches a sphere ( e → → 0 ) when Ω Ω → → 0 and the other which approaches a very flattened spheroid ( e → → 1 ) when Ω Ω → → 0 . The maximum angular velocity occurs at eccentricity e = 0.92996 and its value is Ω Ω 2 / ( π π G ρ ρ ) = 0.449331 , so that above this speed, no equilibrium figures exist. The angular momentum L is