2012
DOI: 10.1088/0004-637x/756/2/177
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The Effects of Viewing Angle on the Mass Distribution of Exoplanets

Abstract: We present a mathematical method to statistically decouple the effects of unknown inclination angles on the mass distribution of exoplanets that have been discovered using radial-velocity (RV) techniques. The method is based on the distribution of the product of two random variables. Thus, if one assumes a true mass distribution, the method makes it possible to recover the observed distribution. We compare our prediction with available RV data. Assuming that the true mass function is described by a power law, … Show more

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Cited by 19 publications
(16 citation statements)
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“…The observed mass distribution is a key observational constraint for planet formation models, a constraint which has previously been fit by smooth power law trends with indices around -1 (e.g. Butler et al 2006;Lopez & Jenkins 2012). In Fig.…”
Section: Mass Functionmentioning
confidence: 96%
“…The observed mass distribution is a key observational constraint for planet formation models, a constraint which has previously been fit by smooth power law trends with indices around -1 (e.g. Butler et al 2006;Lopez & Jenkins 2012). In Fig.…”
Section: Mass Functionmentioning
confidence: 96%
“…Clearly, a knowledge of the precise form of the mass distribution for this (or any) RV survey is precluded until inclinations can be determined accurately via sub-milli-arcsecond astrometric surveys such as GAIA (Sozzetti et al 2001) and SIM (Sozzetti et al 2002), though it would take a remarkable confluence of inclinations for the objects uncovered by the AAPS to alter the underlying distribution of masses. Indeed, recent attempts have been made to recover the 'true' mass distribution (Lopez & Jenkins 2012), with very few of the sub-10 M J objects moving above this mass limit.…”
Section: Mass Distributionmentioning
confidence: 99%
“…In addition, for each MCMC point we drew an inclination from an isotropic orbital-orientation distribution, i.e., from a sin i probability density function (PDF). By doing so, we actually assumed a flat prior for the mass of Barnard's Star b (e.g., Ho & Turner 2011;Lopez & Jenkins 2012). Given the as yet unknown mass distribution of planets in orbital periods of > 200 days around M dwarfs (e.g., Dressing & Charbonneau 2015), we believe this is a reasonable assumption.…”
Section: Astrometric Signature Of Barnard's Star Bmentioning
confidence: 99%