On the Mass-Period Distributions and Correlations of Extrasolar Planets

Abstract

In addition to fitting the data of 233 extra-solar planets with power laws, we construct a correlated mass-period distribution function of extrasolar planets, as the first time in this field. The algorithm to generate a pair of positively correlated beta-distributed random variables is introduced and used for the construction of correlated distribution functions. We investigate the mass-period correlations of extrasolar planets both in the linear and logarithm spaces, determine the confidence intervals of the correlation coefficients, and confirm that there is a positive mass-period correlation for the extrasolar planets. In addition to the paucity of massive close-in planets, which makes the main contribution on this correlation, there are other fine structures for the data in the mass-period plane.

arXiv commentto be published in AJ, tentatively in December 2007

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• Searching for Candidates of Orbital Decays among Transit Exoplanets
• On the Fundamental Mass-Period Functions of Extrasolar Planets
• Are There Transit Timing Variations for the Exoplanet Qatar-1b ?
• Galaxies with Supermassive Binary Black Holes: (I) A Possible Model for the Centers of Core Galaxies
• The Period-Ratio and Mass-Ratio Correlation in Extra-Solar Multiple Planetary Systems
• HATS-15 b and HATS-16 b: Two massive planets transiting old G dwarf stars
• Galaxies with Supermassive Binary Black Holes: (II) A Model with Cuspy Galactic Density Profiles
• On the Scaling and Spacing of Extra-Solar Multi-Planet Systems
• Observing the Luminosity Increase and Roche Lobe Overflow of Planet Destruction
• Clumps and Axisymmetric Features in Debris Discs
• Transit detections of extrasolar planets around main-sequence stars - I. Sky maps for hot Jupiters
• On the Period-Ratio-Mass-Ratio Correlation of Extra-Solar Multi-Planet Systems
• Searching sub-stellar objects in DR1-TGAS, effectiveness and efficiency of Gaias' astrometry