Simulated steady state stellar profiles presented in Sect. 3.1. A profile is depicted by N(≤ r_s), the total number of stars enclosed by a radius r_s, in terms of their sma being less than or equal to r_s. The four cases are (i) no CSs and no DCs (black); (ii) CSs injected at rate of η_b = 10⁻⁵ yr⁻¹ without DCs (red); (iii) no CSs but allowing for DCs below a radius of R_col = 8 mpc (blue); and (iv) DCs and CSs injected at rate of η_b = 10⁻⁵ yr⁻¹ and allowing for DCs below R_col = 8 mpc (green). Also shown are the pericenter and apocenter of S2 and R_col, and slopes of N(≤ r_s) ~ r^5/4 and N(≤ r_s) ~ r^7/4 for the BW profile and the CS profile when in equilibrium with DCs, respectively (see Section 2).