Orbital Decay of the Ultra-Hot Jupiter TOI-2109b: Tidal Constraints and Transit-Timing Analysis

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Main Authors: Alvarado-Montes, Jaime A., Sucerquia, Mario, Zuluaga, Jorge I., Schwab, Christian
Format: Preprint
Published: 2025
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author Alvarado-Montes, Jaime A.
Sucerquia, Mario
Zuluaga, Jorge I.
Schwab, Christian
author_facet Alvarado-Montes, Jaime A.
Sucerquia, Mario
Zuluaga, Jorge I.
Schwab, Christian
contents TOI-2109b is the ultra-hot Jupiter with the shortest orbital period ($\sim16\,$hr) yet discovered. At this close distance, strong tidal interactions can produce a significant exchange of angular momentum with the star. Since the orbital period of this planet is shorter than the stellar rotation period, TOI-2109b may be an optimal candidate for studying orbital decay. This process depends on how efficiently the star and the planet dissipate energy, due mainly to interior mechanisms that are poorly constrained in exoplanet systems. In this work, we study for the first time the tidal evolution of TOI-2109b under a formalism of inertial waves (IWs) in convective envelopes and internal gravity waves (IGWs) in stellar radiative regions. We find that uncertainties in the age of TOI-2109 ($t_\mathrm{\star, age}$) significantly affect the rate of orbital evolution, as IWs and IGWs interact differently depending on $t_\mathrm{\star, age}$. For an 'old' host star, we find that TOI-2109b would undergo fast orbital decay. Conversely, if TOI-2109b orbits a 'young' host star, a rather slow decay rate for $Q_\star'>2.3\times10^7$ would suggest a constant-period orbit. Our calculated mid-transit times and transit-timing variations (TTVs) support a 'young' host star with $Q_\star'>3.7\times10^7$, suggesting a decay rate $\dot{P}\sim4\,$ms yr$^{-1}$ that could lead to mid-transit-time shifts $\lesssim10\,$s over three years. Orbital decay and other TTV-inducing effects will be confirmed or ruled out with future higher-quality timing data. The results presented here aim at constraining the current modeling of tides and TTVs for TOI-2109b, helping us further understand light-curve changes associated to the long-term evolution of ultra-short-period planets.
format Preprint
id arxiv_https___arxiv_org_abs_2505_18941
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orbital Decay of the Ultra-Hot Jupiter TOI-2109b: Tidal Constraints and Transit-Timing Analysis
Alvarado-Montes, Jaime A.
Sucerquia, Mario
Zuluaga, Jorge I.
Schwab, Christian
Earth and Planetary Astrophysics
Solar and Stellar Astrophysics
TOI-2109b is the ultra-hot Jupiter with the shortest orbital period ($\sim16\,$hr) yet discovered. At this close distance, strong tidal interactions can produce a significant exchange of angular momentum with the star. Since the orbital period of this planet is shorter than the stellar rotation period, TOI-2109b may be an optimal candidate for studying orbital decay. This process depends on how efficiently the star and the planet dissipate energy, due mainly to interior mechanisms that are poorly constrained in exoplanet systems. In this work, we study for the first time the tidal evolution of TOI-2109b under a formalism of inertial waves (IWs) in convective envelopes and internal gravity waves (IGWs) in stellar radiative regions. We find that uncertainties in the age of TOI-2109 ($t_\mathrm{\star, age}$) significantly affect the rate of orbital evolution, as IWs and IGWs interact differently depending on $t_\mathrm{\star, age}$. For an 'old' host star, we find that TOI-2109b would undergo fast orbital decay. Conversely, if TOI-2109b orbits a 'young' host star, a rather slow decay rate for $Q_\star'>2.3\times10^7$ would suggest a constant-period orbit. Our calculated mid-transit times and transit-timing variations (TTVs) support a 'young' host star with $Q_\star'>3.7\times10^7$, suggesting a decay rate $\dot{P}\sim4\,$ms yr$^{-1}$ that could lead to mid-transit-time shifts $\lesssim10\,$s over three years. Orbital decay and other TTV-inducing effects will be confirmed or ruled out with future higher-quality timing data. The results presented here aim at constraining the current modeling of tides and TTVs for TOI-2109b, helping us further understand light-curve changes associated to the long-term evolution of ultra-short-period planets.
title Orbital Decay of the Ultra-Hot Jupiter TOI-2109b: Tidal Constraints and Transit-Timing Analysis
topic Earth and Planetary Astrophysics
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2505.18941