Left panel: Gaussian mixture model fitting to the ∣λ∣ distribution of giant planets (gray, 0.3 ≤ M_c < 13.6 M_J), brown dwarfs (blue, 13.6 ≤ M_c < 80 M_J) and binary stars (red, M_c ≥ 80 M_J), based on 2000 randomly generated synthetic datasets (see Section 4 for details). The median results are shown as dashed curves. The low-∣λ∣ components of binary stars and brown dwarfs are slightly more concentrated and close to zero compared with the giant-planet population. Right panel: the low and high obliquity components' mean value distributions of giant planets (gray), brown dwarfs (blue), and binary stars (red), based on two-component Gaussian mixture model fittings to 1000 simulated synthetic datasets. The vertical dashed lines show the 50th quantiles of the distributions.