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Table B.1

Test of initial conditions to assess the robustness of our findings.

Parameter Investigated Potential d ɀ (U, V, W) Ref. dSun−cloud ≤ 50 pc dSun−cloud ≤ 40 pc dSun−cloud ≤ 30 pc dSun−cloud ≤ 20 pc
[kpc] [pc] [km s−1] (tentertexit) (Myr) (tentertexit) (Myr) (tentertexit) (Myr) (tentertexit) (Myr)
Ref.Case mwp14* 8.3 27 (11.1.12.24,7.25) a1,b1, c1, d1 (−18.2±0.1.−11.5 ±0.3) (−17.4 ±0.2, −11.9 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.3 ±0.1,−12.8 ±0.2)

Sun Galactocentric dist. mwp14 7.5 27 (11.1.12.24,7.25) a1, b2, c1,d1 (−18.0±0.1,−11.5 ±0.6) (−15.2 ±0.2, −12.1 ±0.3) (−14.6 ±0.2, −12.6 ±0.2) (−14.5 ±0.2. −12.6 ±0.3 )d≤27.5pc
mwp14 7.94 27 (11.1,12.24,7.25) a1, b3, c1,d1 (−18.2 ±0.1,−11.5 ±0.6) (−17.3 ±0.2, −12.0 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.4±0.1.−12.7±0.3)d≤22.5 pc
mwp14 8.122 27 (11.1,12.24,7.25) a1, b4, c1,d1 (−18.2 ±0.1,−11.4 ±0.3) (−17.4 ±0.2, −11.8 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.2 ±0.1,−12.8 ±0.2)
mwp14 8.7 27 (11.1,12.24,7.25) a1, b5, c1,d1 (−18.3 ±0.2,−11.4 ±0.3) (−17.5 ±0.3, −11.4 ±0.5) (−14.9 ±0.1, −12.3 ±0.2) (−14.4±0.1,−12.7 ±0.1)

Sun velocity mwp14 8.3 27 (10.1,4.0,6.7) a1, b1, c1,d2 (−18.3 ±0.1,−11.4 ±0.3) (−17.4 ±0.2, −11.9 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.3 ±0.1,−12.8 ±0.2)
mwp14 8.3 27 (10.0,5.25,7.17) a1, b1,c1, d3 (−18.3 ±0.1,−11.4 ±0.3) (−17.4 ±0.2, −11.9 ±0.3) (−14.7 ±0.1, −12.4 ±0.2) (−14.3 ±0.1,−12.8 ±0.2)
mwp14 8.3 27 (10.0,15.4,7.8) a1, b1,c1,d4 (−18.3 ±0.1,−11.4 ±0.2) (−17.4 ±0.3, −11.9 ±0.3) (−14.9 ±0.1, −12.4 ±0.2) (−14.3 ±0.1,−12.8 ±0.2)

Sun height mwp14 8.3 0 (11.1,12.24,7.25) a1, b1, -, d1 (−18.4 ±0.2,−11.4 ±0.2) (−17.6 ±0.2, −11.4 ±0.8) (−14.9 ±0.1, −12.4 ±0.1) (−14.4 ±0.1,−12.8 ± 0.2)
mwp14 8.3 50 (11.1,12.24,7.25) a1, b2, c1,d1 (−18.2±0.1,−11.5 ±0.3) (−17.4 ±0.2, −11.9 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.3 ±0.1,−12.8 ±0.2)

MW’s potential McMillan 17** 8.2 20.8 (11.1,12.24,7.25) a2, a2, c2,d1 (−18.2 ±0.1,−11.4 ±0.2) (−17.3 ±0.2, −11.9 ±0.3) (−14.8 ±0.1, −12.3 ±0.2) (−14.1 ±0.1,−12.8 ±0.2)
Irrgang 131*** 8.4 20.8 (11.1,12.24,7.25) a3, a3, c2, d1 (−18.2±0.1,−11.5 ±0.3) (−17.3 ±0.2, −11.8 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.3 ±0.1,−12.8 ±0.3)

Mixed mwp14 8.122 20.8 (11.1.12.24,7.25) a1, b4, c2, d1 (−18.3 ±0.1. 11.5 ±0.3) (−17.4 ±0.2, −12.0 ±0.3) (−14.8 ±0.1, −12.4 ±0.2) (−14.2 ±0.1,−12.9 ±0.2)
mwp14 8.122 20.8 (10.0,15.4,7.8) a1, b4,c2, d4 (−18.3 ±0.1,−11.5 ±0.3) (−17.4 ±0.3, −12.0 ±0.1) (−14.9 ±0.1, −12.4 ±0.2) (−14.2 ±0.1,−12.9 ± 0.2)

Notes. The time intervals for the encounters between the Solar System and the Radcliffe wave were calculated by varying the initial parameters of orbit integration. The investigated initial conditions include the Sun’s Galactocentric distance, the Sun’s velocity relative to the Local Standard of Rest, the height above the disk midplane of the Sun, and the potential of the Milky Way. The statistical errors of the time intervals are computed through Monte Carlo sampling the uncertainty distributions of the initial positions and velocities of the clusters, as well as the assumed initial parameters of the Sun. The errors for the Sun’s initial parameters are taken from the given references. In cases where no encounter occurs for a given distance, the reported time range corresponds to the distance indicated as a subscript. In the Reference column, the letters a, b, c, and d refer to the Milky Way potential, Galactocentric distance, Sun height above the disk, and Sun’s velocity relative to the Local Standard of Rest, respectively.

The circular velocity at the Sun’s position is set to:* vLSR = 220 km s−1 ;** vLSR = 233.1 km s−1 ; *** vLSR = 242 km s−1.

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