Table 6
Results of a stationary collisional model between the cometary disk and the main belt.
| q 1 | q 2 | D 0 | M disk | n events | Notes | ||
| (km) | (M ⊕ ) | for DPB ≥ 100 km | DPB ≥ 200 km | Vesta craterings | |||
|
|
|||||||
| 5.0 | 3.0 | 100 | 45 | 115–55 | 4.9–2.1 | 2.0 | nominal case |
| 5.0 | 2.0 | 100 | 45 | 35–23 | 4.0–2.2 | 1.1 | shallow SFD |
| 5.0 | 3.5 | 100 | 45 | 174–70 | 4.3–1.6 | 1.8 | steep SFD |
| 5.0 | 1.1 | 100 | 45 | 14–12 | 3.1–2.1 | 1.1 | extremely shallow SFD |
| 4.5 | 3.0 | 100 | 45 | 77–37 | 3.3–1.5 | 1.3 | lower q1 |
| 5.0 | 3.0 | 50 | 45 | 225–104 | 7.2–1.7 | 3.2 | smaller turn-off |
| 5.0 | 3.0 | 100 | 25 | 64–40 | 2.7–1.5 | 1.1 | lower Mdisk |
| 5.0 | 3.0 | 100 | 17 | 34 | 1.2 | 1.9 | ρcomets = 500 kg/m3 |
| 5.0 | 3.0 | 150 | 45 | 77–23 | 3.4–0.95 | 0.74 | larger turn-off |
| 5.0 | 0.0 | 100 | 10 | 1.5–1.4 | 0.5–0.4 | 0.16 | worst case (zero q2 and low Mdisk) |
Notes. The parameters characterise the SFD of the disk: q1, q2 are differential slopes for the diameters larger/smaller than the elbow diameter D0, Mdisk denotes the total mass of the disk, and nevents is the resulting number of families created during the LHB for a given parent body size DPB. The ranges of nevents are due to variable density ratios ρtarget/ρproject = 1to3/1.
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