Abstract <p>The approximate method, which was previously used to correct the results of detecting exoplanets with the radial velocity technique for observational selection effects, yielded a significant error in a range of low masses. In the present paper we have significantly refined and improved this method. With the Lomb–Scargle periodograms and with accounting for a different number of measurements of the radial velocities of host stars, we showed that, in a range of 2–14 Earth masses, the distribution of planets detected with the radial velocity technique follows a power law with an exponent of   –1: d<i>N</i>/d<i>m</i> ~ <i>m</i><sup>–1</sup>.</p>

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Correction for Observational Selection Effects of the Samples of Low-Mass Exoplanets Discovered with the Radial Velocity Technique

  • V. I. Ananyeva,
  • I. A. Shashkova,
  • A. V. Tavrov

摘要

Abstract

The approximate method, which was previously used to correct the results of detecting exoplanets with the radial velocity technique for observational selection effects, yielded a significant error in a range of low masses. In the present paper we have significantly refined and improved this method. With the Lomb–Scargle periodograms and with accounting for a different number of measurements of the radial velocities of host stars, we showed that, in a range of 2–14 Earth masses, the distribution of planets detected with the radial velocity technique follows a power law with an exponent of   –1: dN/dm ~ m–1.