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Table 1.

Summary of the main parameters and results of the considered suites of hydrodynamic simulations.

Siwek et al. (2023a,b) Zrake et al. (2021) D’Orazio & Duffell (2021)
S23a, S23b Z21 DD21
Code Arepo Mara3 DISCO
Mesh type Voronoi moving mesh Cartesian grid Cylindrical moving mesh
Viscosity α = 0.1 α = 0.1 ν = 10−3a2Ω
Disk aspect ratio 0.1 0.1 0.1
Gravity softening radius [a] 0.025 0.02 0.05
Sink radius [a] 0.03 0.02 0.1
Parameter space (e-q) 0.1 ≤ q ≤ 1 q = 1 q = 1
0 ≤ e ≤ 0.8 0 ≤ e ≤ 0.8 0 ≤ e ≤ 0.9
Exploration strategy Discrete sampling Discrete sampling Adiabatic sweeping
Parameter combinations explored 9 × 10 32 ≈40 (a)
Number of orbits per combination 10 000 2000 ≈444 (a)
Relaxation radius [a] ≈21 (b) ≈7 ≈2 (a)

Circular orbit stability Unstable Stable Stable
eeq 0 . 48 0.08 + 0.02 $ 0.48^{+0.02}_{-0.08} $ 0 . 443 0.018 + 0.007 $ 0.443^{+0.007}_{-0.018} $ 0 . 39 0.01 + 0.01 $ 0.39^{+0.01}_{-0.01} $
a′(e  =  eeq) –0.70 –2.3 0 or –0.49 (c)

Notes.

(a)

Estimated, given a single sweep 20 000 orbits long and a resolution in eccentricity Δe = 0.02.

(b)

S23a report 27 instead of 21, due to a typo in Eq. (7). The correct factor in front of the viscous timescale is 2/3 instead of 4/9.

(c)

If considering oscillations around the equilibrium configuration.

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