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Table 1

Our main simulations.

Number of planets Name h0 Σ0 α rp Mp [M] Result
1 1p10 0.05 2 × 10−4 5 × 10−4 1.2 10
1p1Jup 0.05 2 × 10−4 5 × 10−4 1.6 333

2 2p10 0.05 2 × 10−4 5 × 10−4 1.2, 1.95 10,10 6:5
3:2
2p20 0.05 2 × 10−4 5 × 10−4 1.2, 1.95 10, 20 4:3
3:2
2p100 0.05 2 × 10−4 5 × 10−4 1.2, 1.95 10, 100 29:20(*)
2:1
2pJup 0.05 2 × 10−4 5 × 10−4 1.2, 1.95 10, 333 2:1
2:1
2p20LA 0.05 2 × 10−4 5 × 10−5 1.2, 1.95 10, 20 unstable
3:2
2p20LH 0.03 2 × 10−4 5 × 10−4 1.2, 1.95 10, 20 4:3
5:4
2p20HS 0.05 4 × 10−4 5 × 10−4 1.2, 1.95 10, 20 5:4
3:2

3 3p1020 0.05 2 × 10−4 5 × 10−4 1.2, 1.95, 3.2 10, 10, 20 unstable
3:2:1
3p2020 0.05 2 × 10−4 5 × 10−4 1.2, 1.95, 3.2 10, 20, 20 unstable
3:2:1
3p10100 0.05 2 × 10−4 5 × 10−4 1.2, 1.95, 3.2 10, 10, 100 unstable
3:2:1
3p20100 0.05 2 × 10−4 5 × 10−4 1.2, 1.95, 3.2 10, 20, 100 unstable
3:2:1
3p2020LA 0.05 2 × 10−4 5 × 10−5 1.2, 1.95, 3.2 10, 20, 20 unstable
3:2:1
3p2020LH 0.03 2 × 10−4 5 × 10−4 1.2, 1.95, 3.2 10, 20, 20 4:3:2
5:4, 3:2
3p2020HS 0.05 4 × 10−4 5 × 10−4 1.2, 1.95, 3.2 10, 20, 20 unstable
3:2:1

>3 one-by-one 0.05 2 × 10−4 5 × 10−4 1.2, 1.9, 2.43, 2.98 10, 20, 20, 20 unstable
1.2, 1.95 2.98, 4.49 10, 20, 20, 20 2:1, 2:1, –
one-by-oneLH 0.03 2 × 10−4 5 × 10−4 1.2, 1.76, 2.3, 2.8, 3.67, 4.48 10, 20, 20, 20, 20, 20 4:3, 3:2, 4:3, 5:4, –
1.2, 1.73, 2.19, 2.69 10, 20, 20, 20 unstable

Notes. The information about the DZ and IB models is given by their corresponding colours. The data in black are the same in both trap models. (*) The planets are very close to the 29:20 commensurability with ToTi ≃ 1.45.

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