The Heating Efficiency of Hot Jupiters from a Data-driven Perspective

The inflated radii of hot Jupiters have been explored by various theoretical mechanisms. By connecting planetary thermal evolution models with the observed properties of hot Jupiters using hierarchical Bayesian models, a theoretical parameter called the heating efficiency has been introduced to desc...

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Main Authors: Sheng Jin, Dong-Hong Wu, Yi-Xuan Cao, Zi-Yi Guo
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astronomical Journal
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Online Access:https://doi.org/10.3847/1538-3881/ada945
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author Sheng Jin
Dong-Hong Wu
Yi-Xuan Cao
Zi-Yi Guo
author_facet Sheng Jin
Dong-Hong Wu
Yi-Xuan Cao
Zi-Yi Guo
author_sort Sheng Jin
collection DOAJ
description The inflated radii of hot Jupiters have been explored by various theoretical mechanisms. By connecting planetary thermal evolution models with the observed properties of hot Jupiters using hierarchical Bayesian models, a theoretical parameter called the heating efficiency has been introduced to describe the heating of the interiors of these planets. Previous studies have shown that the marginal distribution of this heating-efficiency parameter has a single-peak distribution along the planetary equilibrium temperature ( T _eq ). Since the observed properties of hot Jupiters are the foundation of these Bayesian inference models, there must be a corresponding feature in the observed data that leads to the inferred single-peak distribution of the heating efficiency. This study aims to find the underlying cause of the single-peak heating-efficiency distribution without relying on specific theoretical models. By analyzing the relationships between different observed physical properties, we obtain a similar single-peak distribution of the radius expansion efficiency of hot Jupiters along T _eq , which can be explained by the correlation with the stellar effective temperature. However, a detailed investigation suggests that this single-peak distribution is actually the result of straightforward physical processes. Specifically, the increase in heating efficiency can be attributed to the increase in incident stellar flux, while the decrease in heating efficiency can be attributed to the rise in the gravitational binding energy associated with the increase in planetary mass.
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spelling doaj-art-011b80675f814df9a2ee23f69c69be8a2025-02-11T07:26:12ZengIOP PublishingThe Astronomical Journal1538-38812025-01-01169313210.3847/1538-3881/ada945The Heating Efficiency of Hot Jupiters from a Data-driven PerspectiveSheng Jin0https://orcid.org/0000-0002-9063-5987Dong-Hong Wu1https://orcid.org/0000-0001-9424-3721Yi-Xuan Cao2Zi-Yi Guo3Department of Physics, Anhui Normal University , Wuhu, Anhui 241002, People’s Republic of China ; jins@ahnu.edu.cn; Purple Mountain Observatory, Chinese Academy of Sciences , Nanjing, Jiangsu 210023, People’s Republic of ChinaDepartment of Physics, Anhui Normal University , Wuhu, Anhui 241002, People’s Republic of China ; jins@ahnu.edu.cnHigh School Affiliated to Nanjing Normal University , Nanjing, Jiangsu 210003, People’s Republic of ChinaHigh School Affiliated to Nanjing Normal University , Nanjing, Jiangsu 210003, People’s Republic of ChinaThe inflated radii of hot Jupiters have been explored by various theoretical mechanisms. By connecting planetary thermal evolution models with the observed properties of hot Jupiters using hierarchical Bayesian models, a theoretical parameter called the heating efficiency has been introduced to describe the heating of the interiors of these planets. Previous studies have shown that the marginal distribution of this heating-efficiency parameter has a single-peak distribution along the planetary equilibrium temperature ( T _eq ). Since the observed properties of hot Jupiters are the foundation of these Bayesian inference models, there must be a corresponding feature in the observed data that leads to the inferred single-peak distribution of the heating efficiency. This study aims to find the underlying cause of the single-peak heating-efficiency distribution without relying on specific theoretical models. By analyzing the relationships between different observed physical properties, we obtain a similar single-peak distribution of the radius expansion efficiency of hot Jupiters along T _eq , which can be explained by the correlation with the stellar effective temperature. However, a detailed investigation suggests that this single-peak distribution is actually the result of straightforward physical processes. Specifically, the increase in heating efficiency can be attributed to the increase in incident stellar flux, while the decrease in heating efficiency can be attributed to the rise in the gravitational binding energy associated with the increase in planetary mass.https://doi.org/10.3847/1538-3881/ada945Extrasolar gaseous giant planetsAstronomy data analysisHot JupitersBayesian statistics
spellingShingle Sheng Jin
Dong-Hong Wu
Yi-Xuan Cao
Zi-Yi Guo
The Heating Efficiency of Hot Jupiters from a Data-driven Perspective
The Astronomical Journal
Extrasolar gaseous giant planets
Astronomy data analysis
Hot Jupiters
Bayesian statistics
title The Heating Efficiency of Hot Jupiters from a Data-driven Perspective
title_full The Heating Efficiency of Hot Jupiters from a Data-driven Perspective
title_fullStr The Heating Efficiency of Hot Jupiters from a Data-driven Perspective
title_full_unstemmed The Heating Efficiency of Hot Jupiters from a Data-driven Perspective
title_short The Heating Efficiency of Hot Jupiters from a Data-driven Perspective
title_sort heating efficiency of hot jupiters from a data driven perspective
topic Extrasolar gaseous giant planets
Astronomy data analysis
Hot Jupiters
Bayesian statistics
url https://doi.org/10.3847/1538-3881/ada945
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