Production of hot Jupiter candidates from high-eccentricity mechanisms for different initial planetary mass configurations

TL;DR

This study evaluates six high-eccentricity mechanisms through numerical simulations to determine their efficiency in producing hot Jupiter candidates in multi-planet systems with various initial conditions, including planetary mass configurations.

Contribution

It identifies the E1 mechanism as the most efficient in generating hot Jupiter candidates across different initial planetary mass setups, expanding understanding of high-eccentricity migration processes.

Findings

E1 mechanism is most efficient in producing HJ candidates.

Kozai-Lidov mechanism best excites orbital inclinations.

Efficiency varies with initial planetary mass configurations.

Abstract

Hot Jupiters (HJs) are giant planets with orbital periods of the order of a few days with semimajor axis within $\sim$0.1 au. Several theories have been invoked in order to explain the origin of this type of planets, one of them being the high-eccentricity migration. This migration can occur through different high-eccentricity mechanisms. Our investigation focused on six different kinds of high-eccentricity mechanisms, namely, direct dispersion, coplanar, Kozai-Lidov, secular chaos, E1 and E2 mechanisms. We investigated the efficiency of these mechanisms for the production of HJ candidates in multi-planet systems initially tightly-packed in the semimajor axis, considering a large set of numerical simulations of the exact equations of motion in the context of the N-body problem. In particular, we analyzed the sensitivity of our results to the initial number of planets, the initial semimajor axis of the innermost planetary orbit, the initial configuration of planetary masses, and to the inclusion of general relativity effects. We found that the E1 mechanism is the most efficient in producing HJ candidates both in simulations with and without the contribution of general relativity, followed by the Kozai-Lidov and E2 mechanisms. Our results also revealed that, except for the initial equal planetary mass configuration, the E1 mechanism was notably efficient in the other initial planetary mass configurations considered in this work. Finally, we investigated the production of HJ candidates with prograde, retrograde, and alternating orbits. According to our statistical analysis, the Kozai-Lidov mechanism has the highest probability of significantly exciting the orbital inclinations of the HJ candidates.