Fig. A.1

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Period ratios and resonance angles for planets b, c, and e trapped in 0th and first-order 3BR in post-collision phase. Panels a and b represent the period ratio evolution with the color bar indicating time. The black and red dashed lines respectively correspond to (2, 3, 5) zeroth-order 3BR and (1, 3, 3) first-order 3BR following Equation (7). Panel c and d plot the evolution of the zeroth-order 3BR angle φbee, 0 = 2 λb−5 λc+3 λe and first-order 3BR angle φbce, 1 = λb−3 λc+ 3 λe−ϖc. Panel e and f plot the b/c outer resonance angle φbc, o = λb−2 λc+ϖc and c/e inner resonance angle φce, i = λc− 3 λe+2 ϖc. The right panels correspond to the simulation where a positive torque is applied on planet b and planets b, c, and e get trapped in zeroth-order 3BR. In contrast, in the left panels, there is no torque on planet b and planets are trapped in a first-order 3BR.
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