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In some planetary systems, the orbital periods of two of its members presenta commensurability, usually known by mean-motion resonance. These resonancesgreatly enhance the mutual gravitational influence of the planets. As aconsequence, these systems present uncommon behaviors, and their motions needto be studied with specific methods. Some features are unique and allow us abetter understanding and characterization of these systems. Moreover,mean-motion resonances are a result of an early migration of the orbits in anaccretion disk, so it is possible to derive constraints on their formation.Here we review the dynamics of a pair of resonant planets and explain how theirorbits evolve in time. We apply our results to the HD 45365 planetary system.

Planets in Mean-Motion Resonances and the System Around HD45364