In this paper we have performed simulations to investigate the dynamics of the M dwarf star GJ 876 in an attempt to reveal any stabilizing mechanism for sustaining the system. We simulated different coplanar and non-coplanar configurations of two-planet system and other cases. From the simulations, we found that the 2:1 mean motion resonance between two planets can act as an effective mechanism of maintaining the stability of the system. This result is explained by a proposed analytical model. By means of the model, we still studied the region of motion of the inner planet by varying the parameters of the system and detected that the analytical results are well consistent with the numerical simulations. Subject headings: dynamical simulations,stellar dynamics-methods:N-body simulations, planetary systems-stars:individual GJ 876 1
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