Evolution of the inner two planets of the HD 219134 system under dissipation with k₂ ∕Q = 0.025 for both planets, and in presence of planets f and d of Gillon et al. (2017). Top panel: semi-major axis of planet b (red curve), location of the 1:2 mean motion resonance with planet c (green curve, that is a_c∕2^2∕3), and present semi-major axis of planet b (blue horizontal line). Bottom panel: eccentricities of planets b (red) and c (green).