Numerical solution with the optimal boundary condition for δ = 0.05 (solid blue line). That is, the solution for which stays within a fraction δ of the MOND-like acceleration up to the maximum possible radius r_max. This is for M_b = 2 × 10¹⁰ M_⊙ and f_G/m² = 0.99 Mpc². The dashed red and green lines show solutions with the optimal boundary condition multiplied by 1.1 and 0.9, respectively. Vertical black lines indicate the maximum radius r_max and the radius where the optimal solution reaches its maximum r_maxratio.