Maximum likelihood method for estimating the mass and period distributions of extra-solar planets

dc.creatorTabachnik, Serge
dc.creatorTremaine, Scott
dc.date2001-07-25
dc.date2001-10-22
dc.date.accessioned2026-07-07T11:28:48Z
dc.date.available2026-07-07T11:28:48Z
dc.descriptionWe investigate the distribution of mass M and orbital period P of extra-solar planets, taking account of selection effects due to the limited velocity precision and duration of existing surveys. We fit the data on 63 planets to a power-law distribution of the form dn=CM^{-alpha}P^{-beta}(dM/M)(dP/P), and find alpha=0.12+-0.10, beta=-0.26+-0.06 for M<10M_J, where M_J is the Jupiter mass. The correlation coefficient between these two exponents is -0.32, indicating that uncertainties in the two distributions are coupled. We estimate that 3% of solar-type stars have companions in the range 1M_J<M<10M_J, 2d<P<10yr.
dc.description18 pages, 5 figures, replaced with revised version
dc.identifierhttps://arxiv.org/abs/astro-ph/0107482
dc.identifierhttp://arxiv.org/abs/astro-ph/0107482
dc.identifierMon.Not.Roy.Astron.Soc.335:151,2002
dc.identifierdoi:10.1046/j.1365-8711.2002.05610.x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196512
dc.subjectAstrophysics
dc.titleMaximum likelihood method for estimating the mass and period distributions of extra-solar planets
dc.typetext

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