Two-dimensional contour plot of ﹩{\mathrm{log}}_{10}({C}_{{\rm{a}}}/{C}_{{\rm{d}}})﹩ in the ﹩{q}_{{\rm{r}}}-{{ \mathcal M }}_{\infty }﹩ space using numerical results from the γ = 4/3 simulations presented in this paper. The top panel shows the ﹩({q}_{{\rm{r}}},{{ \mathcal M }}_{\infty })\to ({C}_{{\rm{a}}},{C}_{{\rm{d}}})﹩ mapping for the sink size used in the simulations R_s/R_a = 0.05. The bottom panel shows the ﹩({q}_{{\rm{r}}},{{ \mathcal M }}_{\infty })\to ({C}_{{\rm{a}}},{C}_{{\rm{d}}})﹩ mapping with the coefficients extrapolated to a sink size R_s/R_a = 10⁻⁵, which is more realistic for a black hole embedded in a common envelope.