# Outils pour l'analyse de données de vitesses radiales

Abstract : When a star is orbited by planetary companions, it describes a nearly epicyclic motion around the center of mass of the system. When the orientation of the orbital plane is appropriate, an observer on Earth can measure the velocity of the star along the line of sight by Doppler effect. If this radial velocity'' presents clear enough periodic variations, the presence of planets can be inferred and their orbit can be constrained. Detection and estimation of orbits is made difficult by the photon noise, the unpredictable variations of luminosity of the star as well as instrumental faults. In particular, signals from several planets can add coherently with the noises and mimic the effect of a planet absent from the system. After listing the relevant effects to make inference on exoplanets from radial velocity data, we tackle this problem. To limit its rate of occurrence, we use a modified basis pursuit algorithm, allowing to search for several signals simultaneously. The efficiency of the method is demonstrated on real and simulated signals. We then address the problem of orbital parameters estimation for a given system, as well as the estimation of their distribution on a planet population. We look in detail at the eccentricity, and show that its overestimation increases as the model moves away from the correct one. We suggest methods for robust inference of orbital parameters.
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Cited literature [195 references]

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2017PA066413.pdf
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• HAL Id : tel-01781046, version 1

### Citation

Nathan Hara. Outils pour l'analyse de données de vitesses radiales. Astrophysics [astro-ph]. Université Pierre et Marie Curie - Paris VI, 2017. English. ⟨NNT : 2017PA066413⟩. ⟨tel-01781046⟩

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