The trans-Neptunian object size distribution at small sizes

Table 1:

Canonical set of parameters used in the simulation.
Target radius ( $r_{\rm t}$ ):	$8\times 10^7$ cm
Target mean density ( $\rho_{\rm t}$ ):	2.25 g cm^-3
Water ice density ( $\rho_{\rm ice}$ ):	1.00 g cm^-3
Rock density ( $\rho_{\rm s}$ ):	3.50 g cm^-3
Projectile mean density ( $\rho_{\rm p}$ ):	2.5 g cm^-3
Original mixed material initial depth ( $h_{\rm mix}$ ):	0 cm
Water ice fraction in original material ( $f_{\rm ice}$ ):	0.5
Initial fraction of crystalline water ice ( $\eta$ ):	0.0
Target mean collisional velocity ( $\langle V_{\rm col}\rangle$ ):	$2.48\pm0.86$ km s^-1
Target mean intrinsic collision probability ( $\langle Pi \rangle$ ):	$1.47\pm0.02\times 10^{-22}$ km^-2 yr^-1
Time for total amorphization ( $T_{\rm amorph}$ ):	$1 \times 10^9$ yr
Thickness of layer with spectral information ( $h_{\rm spec}$ ):	200 $\mu$ m
Crater depth/diameter ratio ( $\mu$ ):	0.2
Energy fraction to kinetic energy of the fragments ( $\delta_{\rm k}$ ):	0.2
Energy fraction to thermal process ( $\delta_{\rm T}$ ):	0.1
Minimum thickness for global effect ( $h_{\rm dep}$ ):	0.01 $\mu$ m
Total simulation time ( $T_{\rm sim}$ ):	$4\times 10^9$ yr
Simulation time step ( $\Delta_T$ ):	$1\times 10^4$ yr
Size distribution:
K₀,	$4.11\times 10^{26}$
q₀, q₁	4.20, 3.50-2.00
r₁	20-50 km