On the Mass-Period Distributions and Correlations of Extrasolar Planets

Ing-Guey Jiang; Li-Chin Yeh; Yen-Chang Chang; Wen-Liang Hung

doi:10.1086/522888

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arXiv · 0709.0578

On the Mass-Period Distributions and Correlations of Extrasolar Planets

Ing-Guey Jiang·Li-Chin Yeh·Yen-Chang Chang·Wen-Liang Hung

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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.

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Ing-Guey Jiang, Li-Chin Yeh, Yen-Chang Chang, Wen-Liang Hung. 2007-09-05. On the Mass-Period Distributions and Correlations of Extrasolar Planets. https://doi.org/10.1086/522888

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