Construction of Coupled Period-Mass Functions in Extrasolar Planets Through a Nonparametric Approach

Using the period and mass data of 279 extrasolar planets, we have constructed a coupled period-mass function through a nonparametric approach. This analytic expression of the coupled period-mass function has been obtained for the first time in this field. Moreover, due to a moderate period-mass corr...

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Bibliographic Details
Published in:The Astronomical journal 2009-01, Vol.137 (1), p.329-336
Main Authors: Jiang, Ing-Guey, Yeh, Li-Chin, Chang, Yen-Chang, Hung, Wen-Liang
Format: Article
Language:English
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Summary:Using the period and mass data of 279 extrasolar planets, we have constructed a coupled period-mass function through a nonparametric approach. This analytic expression of the coupled period-mass function has been obtained for the first time in this field. Moreover, due to a moderate period-mass correlation, the shapes of mass/period functions vary as a function of period/mass. These results of mass and period functions give way to two important implications: (1) the deficit of massive close-in planets is confirmed, and (2) the more massive planets have larger ranges of possible semimajor axes. These interesting statistical results will provide important clues to the theories of planetary formation.
ISSN:1538-3881
0004-6256
1538-3881
DOI:10.1088/0004-6256/137/1/329