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Fig. 4

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Photometric quantities extracted from τdyn = 1, ϵn = 0.1 simulations, performed for various values of rh. The simulations marked with black symbols, for rh ≥ 0.61 are the same simulations as displayed in Fig. 7 of Mondino-Llermanos & Salo (2023), with the calculation size of 5λcr × 10λcr. The red symbols indicate simulations with rh < 0.61: to have a better statistics in photometric calculations, the simulated region does not scale with λcr but has a fixed size of 350 × 175 particle radii (this corresponds to 5λcr × 10λcr at rh = 0.61). The upper row shows quantities related to the azimuthal I/F profiles: the minimum and maximum brightness, the amplitude Aasym defined in Eq. (19) and ∆θmin, the longitude of I/F minima wrt to ansae. In the case of self-gravity wakes, their pitch angle ϕw = −∆θmin. In the middle upper panel, the dashed curve corresponds to Lambert-phase function with ϖ = 0.7; in other cases Callisto phase function with ϖ = 0.4 is assumed. The lower row displays similar quantities derived from the optical depth profiles. Light shading (rh = 0.5–0.6) indicates the regime where overstability emerges and grows in amplitude, while the dark shading marks the regime where wakes suppress overstability (rh > 0.65).

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