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Table 1

Numbers of encounters, moments, and Hurst exponents of the da distribution caused by close encounters with massive asteroids.

Asteroid Simulation Number of encounters N(|da|  > 3σnoise γ1 γ2 Hurst exponent

(1) Ceres S4 2557 61 57.5 21.3 535.7 0.71
(1) Ceres S8 2648 56 95.1 17.7 455.0 0.80
(1) Ceres S11 2598 58 79.4 6.8 554.4 0.68
(1) Ceres S12 2567 53 82.3 –24.9 668.3 0.62

(1) Ceres (2592±41) (57±3) (78.6±15.6) (5.2±21.0) (553.4±87.9) (0.70±0.08)

(4) Vesta S1 5791 86 39.8 1.2 267.8 0.68
(4) Vesta S4 2590 50 25.4 –9.4 267.6 0.88
(4) Vesta S8 2596 34 19.3 5.0 255.8 0.51
(4) Vesta S11 2423 49 42.1 18.0 443.1 0.78
(4) Vesta S12 2538 39 20.9 1.6 200.2 0.87

(4) Vesta (3187±1457) (51±20) (29.5±10.7) (3.3±9.8) (286.9.2±91.7) (0.74±0.15)

(2) Pallas S4 2463 48 14.6 12.1 311.9 0.69
(2) Pallas S8 2540 44 5.8 –1.7 155.3 0.76
(2) Pallas S11 2498 46 10.4 6.7 189.7 0.75
(2) Pallas S12 2534 45 11.1 9.2 163.1 0.73

(2) Pallas (2508±36) (46±2) (10.5±3.6) (6.6±5.9) (205±72.8) (0.73±0.03)

(10) Hygiea S4 510 22 2.3 13.5 180.0 0.54
(10) Hygiea S8 482 21 23.7 –12.4 176.5 0.69
(10) Hygiea S11 505 23 12.6 6.6 179.8 0.64
(10) Hygiea S12 510 24 40.9 –11.1 182.5 0.69

(10) Hygiea (502±13) 22±1) (19.9±16.5) ( − 0.9±12.9) (179.7±2.5) (0.64±0.07)

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