The invasion of a free-floating planet and the number asymmetry of Jupiter Trojans

Open Access

Table 2

Same as Table 1, but for different choices of Δσ₀.

Δσ₀ = 20°–80°

Δa_J (AU)	N₄	A₄	N₅	A₅	R₄₅

0.13	143	26–50	106	28–51	1.35
0.14	126	29–52	79	32–53	1.59

Δσ₀ = 10°–80°

Δa_J (AU)	N₄	A₄	N₅	A₅	R₄₅

0.16	117	20–63	79	29–50	1.48
0.17	106	28–51	63	37–53	1.68

Δσ₀ = 0–80°

Δa_J (AU)	N₄	A₄	N₅	A₅	R₄₅

0.17	120	29–52	85	30–52	1.41
0.18	94	34–53	60	35–50	1.56

Δσ₀ = 0–70°

Δa_J (AU)	N₄	A₄	N₅	A₅	R₄₅

0.17	130	30–50	98	30–50	1.33
0.18	99	36–51	66	37–52	1.50

Δσ₀ = 0–60°

Δa_J (AU)	N₄	A₄	N₅	A₅	R₄₅

0.19	79	36–51	60	36–52	1.32
0.2	67	41–56	41	43–52	1.63

Δσ₀ = 0–50°

Δa_J (AU)	N₄	A₄	N₅	A₅	R₄₅

0.19	90	39–52	61	40–51	1.47
0.2	71	38–50	46	42–55	1.54

Notes. As long as the migration of Jupiter is fast enough (i.e. Δa_J is sufficiently large), the L4-to-L5 number ratio R₄₅ can always reach a value of ~1.6, which is capable of explaining the current observation.

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