Mutual Occurrence Ratio of Planets. I. New Clues to Reveal Origins of Hot- and Warm-Jupiter from the RV Sample

Abstract

Many studies have analyzed planetary occurrence rates and their dependence on the host's properties to provide clues to planet formation, but few have focused on the mutual occurrence ratio of different kinds of planets. Such relations reveal whether and how one type of planet evolves into another, e.g. from a cold Jupiter to a warm or even hot Jupiter, and demonstrate how stellar properties impact the evolution history of planetary systems. We propose a new classification of giant planets, i.e. cold Jupiter(CJ), warm Jupiter(WJ), and hot Jupiter(HJ), according to their position relative to the snow line in the system. Then, we derive their occurrence rates(${\eta }_{\mathrm{HJ}}$, ${\eta }_{\mathrm{WJ}}$, ${\eta }_{\mathrm{CJ}}$) with the detection completeness of RV(Radial Velocity) surveys(HARPS$\&$ CORALIE) considered. Finally, we analyze the correlation between the mutual occurrence ratios, i.e. $\eta {}_{\mathrm{CJ}}/{\eta }_{\mathrm{WJ}}$, $\eta {}_{\mathrm{CJ}}/{\eta }_{\mathrm{HJ}}$ or $\eta {}_{\mathrm{WJ}}/{\eta }_{\mathrm{HJ}}$, and various stellar properties, e.g. effective temperature $T_{\mathrm{eff}}$. Our results show that the ${\eta }_{\mathrm{HJ}}$, ${\eta }_{\mathrm{WJ}}$ and ${\eta }_{\mathrm{CJ}}$ are increasing with the increasing $T_{\mathrm{eff}}$ when $T_{\mathrm{eff}}\in (4600,6600]K$. Furthermore, the mutual occurrence ratio between CJ and WJ, i.e. $\eta {}_{\mathrm{CJ}}/{\eta }_{\mathrm{WJ}}$, shows a decreasing trend with the increasing $T_{\mathrm{eff}}$. But, both $\eta {}_{\mathrm{CJ}}/{\eta }_{\mathrm{HJ}}$ and $\eta {}_{\mathrm{WJ}}/{\eta }_{\mathrm{HJ}}$ are increasing when the $T_{\mathrm{eff}}$ increases. Further consistency tests reveal that the formation processes of WJ and HJ may be dominated by orbital change mechanisms rather than the in-situ model. However, unlike WJ, which favors gentle disk migration, HJ favors a more violent mechanism that requires further investigation.

14 pages, 11 figures,accepted for publication in Monthly Notices of the Royal Astronomical Society

References in corpus (16)

• Dynamical Outcomes of Planet-Planet Scattering
• The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
• Origins of Eccentric Extrasolar Planets: Testing the Planet-Planet Scattering Model
• A Steeper than Linear Disk Mass-Stellar Mass Scaling Relation
• A stellar-mass-dependent drop in planet occurrence rates
• Hints for a Turnover at the Snow Line in the Giant Planet Occurrence Rate
• Kepler constraints on planets near hot Jupiters
• The Gaia-Kepler Stellar Properties Catalog. II. Planet Radius Demographics as a Function of Stellar Mass and Age
• Friends of Hot Jupiters II: No Correspondence Between Hot-Jupiter Spin-Orbit Misalignment and the Incidence of Directly Imaged Stellar Companions
• Cool Jupiters greatly outnumber their toasty siblings: Occurrence rates from the Anglo-Australian Planet Search
• Occurrence and Architecture of Kepler Planetary Systems as Functions of Stellar Mass and Effective Temperature
• Gyro-Kinematic Ages for around 30,000 Kepler Stars
• The Pan-Pacific Planet Search. VIII. Complete results and the occurrence rate of planets around low-luminosity giants
• Demographics of Exoplanets in Binaries (DEB). I. Architecture of S-Type Planetary Systems Revealed by the RV Sample
• Can Large-Scale Migration Explain the Giant Planet Occurrence Rate?
• A Gap in the Mass Distribution for Warm Neptune and Terrestrial Planets

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