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Communication Dans Un Congrès Année : 2018

A new numerical inversion scheme of m sin i exo-planet mass distribution: its double peak remains after inversion.

Résumé

The use of radial velocity (RV) measurements of stars has proven very successful at the indirect detection of planets orbiting other stars, since both the planet (unseen) and the star are orbiting around their common center of mass. Unfortunately the mass m of the exo-planet cannot be retrieved: only the product m sin i is derived from the amplitude of the RV wobble, where i is the inclination of the polar axis of the orbit on the line of sight (LOS) from the observer to the star.However, when a reasonable number of exo-planets are detected, giving an observed distribution of m sin i it is possible to retrieve the distribution function of planetary masses f(m) that will give the observed distribution fO(m sin i). One has to make the assumption that the orientations of orbital polar axis are isotropically distributed in space, and independent of the distribution f(m). We have developed a new representation of exo-planets in a 3D space, and established a formally exact solution to the inversion problem, based on spheres and cylinders. We have applied this method to the more than 700 known exo-planets masses. The observed distribution of m sin i shows two peaks, one around 0.025 Mjup (Jupiter mass) and one around 2 Mjup. After inversion, the true distribution of masses still present a double peak, showing that this double peak is not an artefact or shortcoming of the RV method. Our new inversion scheme will be presented and the double peak discussed. Coauthors from IKI acknowledge support from the Russian Government Grant #14.W03.31.0017.
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insu-04437645 , version 1 (04-02-2024)

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Jean-Loup Bertaux, Alexander Tavrov, Karim Gizatullin. A new numerical inversion scheme of m sin i exo-planet mass distribution: its double peak remains after inversion.. 42nd COSPAR Scientific Assembly, Jul 2018, Pasadena, United States. pp.Abstract id. E4.1-23-18. ⟨insu-04437645⟩
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