A search was conducted for stars with exoplanetary systems discovered by the Kepler space telescope, which in past epochs could have approached the Orion Nebula open star cluster (ONC). The apex method was used in the first step, and a check of a possible approach in space using numerical calculations was carried out in the second step. The position of the average apex of the ONC was determined: A = 89.19° ± 0.05° and D = –4.57° ± 0.03° according to the list from Vereshchagin et al. (2025) and the list from Wei et al. (2024), A = 84.0° ± 0.05° and D = –4.1° ± 0.5°. The list from Vereshchagin et al. (2025) included stars in the central part of the ONC with a probability of belonging to the cluster (P) exceeding 50%; for the stars from the Wei et al. (2024) list, the probabilities P were not determined. Numerical calculations show that in past epochs, the closest approach of the selected planetary systems to the ONC exceeded 100 pc, which may indicate the absence of a significant gravitational influence of the ONC on the exoplanetary systems of the stars considered. The closest approach was ≈118 pc for the Kepler-1152 exoplanet system. The work is partially based on a talk presented at the Modern Stellar Astronomy 2025 conference.
Vereshchagin et al. (Thu,) studied this question.