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arxiv: 1406.0861 · v1 · pith:MSFI6P4Nnew · submitted 2014-06-03 · 🌌 astro-ph.SR

The Metallicity Dependence of Giant Planet Incidence

classification 🌌 astro-ph.SR
keywords betacorrectionsgiantalphaappliedincidencelargermetallicity
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We describe three corrections that should be applied to the observed relative incidence of nearby stars hosting giant planets. These are diffusion in the stellar atmosphere, use of the [Ref] index in place of [Fe/H] for metallicity, and correction for local sampling with the W velocity. We have applied these corrections to a subset of the SPOCS exoplanet survey with uniform giant planet detectability. Fitting the binned data to a power law of the form, $\alpha 10^{\beta [Fe/H]}$, we derived $\alpha = 0.022 \pm 0.007$ and $\beta = 3.0 \pm 0.5$; this value of $\beta$ is 50\% larger than the value determined by \citet{fv05}. While the statistical significance of this difference is marginal, given the small number statistics, these corrections should be included in future analyses that include larger samples.

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