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We have performed simulations to investigate the dynamics of the M dwarf starGJ 876 in an attempt to reveal any stabilizing mechanism for sustaining thesystem.We simulated different coplanar and noncoplanar configurations oftwo-planet systems and other cases.From the simulations,we found that the 2 :1mean-motion resonance between two planets can act as an effective mechanism formaintaining the stability of the system.This result is explained by a proposedanalytical model.Using this model,we studied the region of motion of the innerplanet by varying the parameters of the system,and we detected that theanalytical results are well consistent with the numerical simulations.Comment: 17 pages, 8 figures available through authors, to be published in  ApJ, June 20,2002 (V572, see figures

The Dynamical Simulations of the Planets Orbiting GJ 876