### Abstract

In the distribution of orbital periods, P, our analysis revealed a narrow subfamily of exoplanets within the broad family of "warm Jupiters", or massive giants with P greater than or similar to 300 d, which are often deemed to be related with the iceline accumulation in a protoplanetary disk. We detected a p.d.f. pattern that represents an upturn followed by an overshooting peak spanning P similar to 300-600 d, right beyond the "period valley". It is separated from the other planets by p.d.f. concavities from both sides. It has at least 2-sigma significance.

In the distribution of planet radii, R, and using the California Kepler Survey sample properly cleaned, we confirm the hints of a bimodality with two peaks about R =1.3 R-circle plus and R = 2.4 R-circle plus, and the "evaporation valley" between them. However, we obtain just a modest significance for this pattern, 2-sigma only at the best. Besides, our follow-up application of the Hartigan and Hartigan dip test for unimodality returns 3 per cent false alarm probability (merely 2.2-sigma significance), contrary to 0.14 per cent (or 3.2-sigma), as claimed by Fulton et al. (2017).

Original language | English |
---|---|

Article number | 192 |

Journal | Astrophysics and Space Science |

Volume | 363 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sep 2018 |

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**Fine-resolution analysis of exoplanetary distributions by wavelets: hints of an overshooting iceline accumulation.** / Baluev, Roman V.; Shaidulin, Vakhit S.

Research output

TY - JOUR

T1 - Fine-resolution analysis of exoplanetary distributions by wavelets: hints of an overshooting iceline accumulation

AU - Baluev, Roman V.

AU - Shaidulin, Vakhit S.

PY - 2018/9

Y1 - 2018/9

N2 - We investigate 1D exoplanetary distributions using a novel analysis algorithm based on the continuous wavelet transform. The analysis pipeline includes an estimation of the wavelet transform of the probability density function (p.d.f.) without pre-binning, use of optimized wavelets, a rigorous significance testing of the patterns revealed in the p.d.f., and an optimized minimum-noise reconstruction of the p.d.f. via matching pursuit iterations. In the distribution of orbital periods, P, our analysis revealed a narrow subfamily of exoplanets within the broad family of "warm Jupiters", or massive giants with P greater than or similar to 300 d, which are often deemed to be related with the iceline accumulation in a protoplanetary disk. We detected a p.d.f. pattern that represents an upturn followed by an overshooting peak spanning P similar to 300-600 d, right beyond the "period valley". It is separated from the other planets by p.d.f. concavities from both sides. It has at least 2-sigma significance. In the distribution of planet radii, R, and using the California Kepler Survey sample properly cleaned, we confirm the hints of a bimodality with two peaks about R =1.3 R-circle plus and R = 2.4 R-circle plus, and the "evaporation valley" between them. However, we obtain just a modest significance for this pattern, 2-sigma only at the best. Besides, our follow-up application of the Hartigan and Hartigan dip test for unimodality returns 3 per cent false alarm probability (merely 2.2-sigma significance), contrary to 0.14 per cent (or 3.2-sigma), as claimed by Fulton et al. (2017).

AB - We investigate 1D exoplanetary distributions using a novel analysis algorithm based on the continuous wavelet transform. The analysis pipeline includes an estimation of the wavelet transform of the probability density function (p.d.f.) without pre-binning, use of optimized wavelets, a rigorous significance testing of the patterns revealed in the p.d.f., and an optimized minimum-noise reconstruction of the p.d.f. via matching pursuit iterations. In the distribution of orbital periods, P, our analysis revealed a narrow subfamily of exoplanets within the broad family of "warm Jupiters", or massive giants with P greater than or similar to 300 d, which are often deemed to be related with the iceline accumulation in a protoplanetary disk. We detected a p.d.f. pattern that represents an upturn followed by an overshooting peak spanning P similar to 300-600 d, right beyond the "period valley". It is separated from the other planets by p.d.f. concavities from both sides. It has at least 2-sigma significance. In the distribution of planet radii, R, and using the California Kepler Survey sample properly cleaned, we confirm the hints of a bimodality with two peaks about R =1.3 R-circle plus and R = 2.4 R-circle plus, and the "evaporation valley" between them. However, we obtain just a modest significance for this pattern, 2-sigma only at the best. Besides, our follow-up application of the Hartigan and Hartigan dip test for unimodality returns 3 per cent false alarm probability (merely 2.2-sigma significance), contrary to 0.14 per cent (or 3.2-sigma), as claimed by Fulton et al. (2017).

U2 - 10.1007/s10509-018-3416-9

DO - 10.1007/s10509-018-3416-9

M3 - Article

VL - 363

JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

SN - 0004-640X

IS - 9

M1 - 192

ER -