  We study of possible encounters in past epochs of the open star cluster NGC
1977 with host stars. For this purpose, the age of the cluster was determined
based on our catalog data. Stars with planetary systems were selected from the
NASA Archive. The age of the cluster was determined using the color - absolute
magnitude diagram and the isochron system. By extending the track of the
movement of the cluster and stars in past epochs, 10 Myr. The time of the
maximum approach 32 pc of the host star with planetary system TOI-2796 with the
NGC 1977 are found. The place of approach in the sky is shown, this point can
be considered as the place of appearance of interstellar comets. Thus, the
result of our work is that the we found approach of the host star to the
cluster entailed effects associated with the gravitational influence of the
cluster on the nuclei of comets located in the outer parts of the Oort cloud of
the planetary system. The effect of approach on comets is estimated.
