Exponents of power-law relations of the accretion rate, ﹩{\alpha }_{\dot{M}}﹩, and drag force, α_F, on the sink radius. Top panel: for each γ = 4/3 simulation in Table 1, an ﹩{\alpha }_{\dot{M}}﹩ (denoted by a cross) is derived from a linear least-squares fit of Equation (16) to the C_a value measured from that simulation of sink size R_s = 0.05 R_a, plus similar simulations with R_s = [0.025, 0.0125] R_a. The plot shows a largely positive ﹩{\alpha }_{\dot{M}}﹩, which indicates that accretion rates decrease as sink size decreases. The blue line shows a fit to the dependence of ﹩{\alpha }_{\dot{M}}﹩ on ﹩{{ \mathcal M }}_{\infty }﹩, using the piecewise fitting relation given by Equation (18). Bottom panel: Following the same procedure for calculating ﹩{\alpha }_{\dot{M}}﹩, each α_F (denoted by a cross) value is derived from a linear least-squares fit of Equation (17) to C_d values from simulations of varying sink sizes. The plot shows values of α_F ∼ 0, indicating little change in the overall drag force as the sink radius is modified. The blue line shows α_F across ﹩{{ \mathcal M }}_{\infty }﹩ values using a constant least-squares fit, which gives α_F ≈ 0.05.