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Table 4

Fractions of planetesimals left in a debris disk after undergoing close stellar encounters for 100 Myr in expanding open clusters of various initial star densities.

Central star Cluster(∗) Fraction of planetesimals left
mc (M) n0 (pc-3)
Disk 40−100 AU Disk 10−40 AU
(%) (%)

0.25 100 100 100
0.5 ′′ 100 100
1.0 ′′ 100 100
2.5 ′′ 100 100
0.25 1000 100 100
0.5 ′′ 100 100
1.0 ′′ 100 100
2.5 ′′ 100 100
0.25 3000  <65 100
0.5 ′′  <83 100
1.0 ′′  <95 100
2.5 ′′ 100 100
0.25 10 000  <23 100
0.5 ′′  <49 100
1.0 ′′  <75 100
2.5 ′′  <94 100
0.25 20 000  <3  <97
0.5 ′′  <15 100
1.0 ′′  <37 100
2.5 ′′  <58 100
0.25 30 000  <1  <76
0.5 ′′  <3  <95
1.0 ′′  <16 100
2.5 ′′  <40 100

Notes. (∗)σ = 5 km s-1,   φ(d < denc) = 6.

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