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We perform numerical simulations to investigate tidal evolution of twosingle-planet systems, that is, WASP-50 and GJ 1214 and a two-planet systemCoRoT-7. The results of orbital evolution show that tidal decay andcircularization may play a significant role in shaping their final orbits,which is related to the initial orbital data in the simulations. For GJ 1214system, different cases of initial eccentricity are also considered as only anupper limit of its eccentricity (0.27) is shown, and the outcome suggests apossible maximum initial eccentricity (0.4) in the adopted dynamical model.Moreover, additional runs with alternative values of dissipation factor$Q^\prime_1$ are carried out to explore tidal evolution for GJ 1214b, and theseresults further indicate that the real $Q^\prime_1$ of GJ 1214b may be muchlarger than its typical value, which may reasonably suggest that GJ 1214b bearsa present-day larger eccentricity, undergoing tidal circularization at a slowrate. For the CoRoT-7 system, tidal forces make two planets migrating towardstheir host star as well as producing tidal circularization, and in this processtidal effects and mutual gravitational interactions are coupled with eachother. Various scenarios of the initial eccentricity of the outer planet havealso been done to investigate final planetary configuration. Tidal decayarising from stellar tides may still work for each system as the eccentricitydecreases to zero, and this is in association with the remaining lifetime ofeach planet used to predict its future.

Tidal evolution of exo-planetary systems: WASP-50, GJ 1214 and CoRoT-7