On the Mass-Period Distributions and Correlations of Extrasolar Planets

Details On the Mass-Period Distributions and Correlations of Extrasolar Planets On the Mass-Period Distributions and Correlations of Extrasolar Planets

2007-09-05

arxiv.org/abs/0709.0578v1

Astron.J.134:2061-2066,2007

Astronomy and Astrophysics

Astrophysics

to be published in AJ, tentatively in December 2007

Scientific paper

10.1086/522888

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.

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