Resonance escape. Bottom: one-sided migration rates as function of cavity radius rc for planet X (black lines; labeled) and expansion rate of the magnetospheric cavity (blue lines). The form tc(rc) is chosen to fit the orbital configuration of the TRAPPIST-1 system. The jump in tc at rc = 0.02 au indicates that Ṁg and rc(t) are temporarily constant. Blue symbols denote a planet that couples to (moves synchronously with) the cavity radius. Black symbols denote the point of decoupling (the planet falls into the cavity). Top: the location of the planets corresponding to rc(t). Red arrows indicate the point where the 3:2 resonance is broken because of divergent migration.
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