Construction of Coupled Period-Mass Functions in Extrasolar Planets through the Nonparametric Approach
Abstract
Using the period and mass data of two hundred and seventy-nine extrasolar planets, we have constructed a coupled period-mass function through the non-parametric 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 semi-major axes. These interesting statistical results will provide important clues into the theories of planetary formation.
Keywords
Cite
@article{arxiv.0909.0824,
title = {Construction of Coupled Period-Mass Functions in Extrasolar Planets through the Nonparametric Approach},
author = {Ing-Guey Jiang and Li-Chin Yeh and Yen-Chang Chang and Wen-Liang Hung},
journal= {arXiv preprint arXiv:0909.0824},
year = {2015}
}
Comments
20 pages, 7 figures, published in AJ, 137, 329 (2009)