aat Acta Astrophys. Tau. Acta Astrophysica Taurica 2712-925X Kiselev Nikolai Nikolaevich, Mosсow, settlement Moskovskii, Tat'yanin Park Str., 12, Moscow, Russia. RU 123 SVNIOT Instruments and Methods Correction for observational selection effects when analyzing the statistics of exoplanets discovered with the radial velocity technique Ananyeva Vladislava Tavrov Aleksandr Korablev Oleg Salamashkina Aljona Space Research Institute (IKI) of the Russian Academy of Sciences, Profsoyuznaya, 84/32, Moscow 117997, Russia Space Research Institute (IKI) of the Russian Academy of Sciences, Profsoyuznaya, 84/32, Moscow 117997, Russia Space Research Institute (IKI) of the Russian Academy of Sciences, Profsoyuznaya, 84/32, Moscow 117997, Russia Space Research Institute (IKI) of the Russian Academy of Sciences, Profsoyuznaya, 84/32, Moscow 117997, Russia 31 03 2026 7 1 1 3 25 03 2026 Copyright (c) 2026 Vladislava Ananyeva, Aleksandr Tavrov, Oleg Korablev, Aljona Salamashkina 2026 Vladislava Ananyeva, Aleksandr Tavrov, Oleg Korablev, Aljona Salamashkina The metadata for this submission is licensed under a Creative Commons Attribution 4.0 International License. Copyright and publishing rights for texts published in Acta Astrophysica Taurica is retained by the authors, with first publication rights granted to the journal.Texts are free to use with proper attribution and link to the licensing (Creative Commons Attribution 4.0 International).

We propose an improved method for correcting observational selection effects when studying the statistics of exoplanets discovered with the radial velocity technique. We verify the proposed method through the numerical simulation of planets whose mass distribution follows a power law with an exponent of −1, −1.5, −2, −2.5, −3. The Lomb – Scargle periodograms are used to evaluate the detectability of planets. The proposed algorithm taking into account the number of radial velocity measurements is shown to successfully reconstruct the minimum mass distribution of exoplanets.

exoplanets radial velocity technique observational selection Information on funding is not available Ananyeva V.I., Ivanova A.E., Shashkova I.A., et al., 2022. Astron. Rep., vol. 66, no. 10, pp. 886–917. doi: https://www.doi.org/10.1134/S106377292210002X Ananyeva V., Ivanova A., Shashkova I., et al., 2023. Atmosphere, vol. 14, no. 2. https://www.doi.org/10.3390/atmos14020353 Butler R.P., Wright J.T., Marcy G.W., et al., 2006. Astrophys. J., vol. 646, no. 1, p. 505. https://www.doi.org/10.1086/504701 Howard A.W., Marcy G.W., Johnson J.A., et al., 2010. Science, vol. 330, no. 6004, pp. 653–655. https://www.doi.org/10.1126/science.1194854 Ivanova A.E., Yakovlev O.Y., Ananyeva V.I., et al., 2021. Astron. Lett., vol. 47, no. 1, pp. 43–49. https://www.doi.org/10.1134/S1063773721010059 Marcy G., Butler R.P., Fischer D., et al., 2005. Progress of Theoretical Physics Supplement, vol. 158, pp. 24–42. https://www.doi.org/10.1143/PTPS.158.24 Tuomi M., Jones H.R.A., Anglada-Escud’e G., et al., 2019. arXiv: Earth and Planetary Astrophysics. https://dx.doi.org/10.48550/arXiv.1906.04644