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Table 1

Statistics of surviving test Trojans within the model of Jupiter’s outward migration.

ΔaJ (AU) N4 A4 N5 A5 R45
0.11 130 25–55 95 23–56 1.37
0.12 122 25-52 74 3555 1.65
0.15 65 35–55 25 43–55 2.60
0.18 20 44–52 3 42–54 6.67
0.19 13 48–55 0

Notes. The migration rate is , where the possible amplitudes ΔaJ and the 10 yr timescale are obtained in the framework of the FFP encounter (see Sect. 2.2). Given the standard setting of Δσ0 = 30°– 80°, there are 500 test Trojans in each of the L4 and L5 swarms and the system is integrated for 1 Myr. We then derive the numbers (N4, N5) and final resonant amplitudes (A4, A5) of surviving Trojans (the subscripts ‘4’ and ‘5’ for the L4 and L5 swarms, respectively), as well as the number ratio of R45 = N4/N5.

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