STARS DO NOT EAT THEIR YOUNG MIGRATING PLANETS: EMPIRICAL CONSTRAINTS ON PLANET MIGRATION HALTING MECHANISMS
Open accessAbstract
The discovery of "hot Jupiters" very close to their parent stars confirmed that Jovian planets migrate inward via several potential mechanisms. We present empirical constraints on planet migration halting mechanisms. We compute model density functions of close-in exoplanets in the orbital semi-major axis–stellar mass plane to represent planet migration that is halted via several mechanisms, including the interior 1:2 resonance with the magnetospheric disk truncation radius, the interior 1:2 resonance with the dust sublimation radius, and several scenarios for tidal halting. The models differ in the predicted power-law dependence of the exoplanet orbital semi-major axis as a function of stellar mass, and thus we also include a power-law model with the exponent as a free parameter. We use a Bayesian analysis to assess the model success in reproducing empirical distributions of confirmed exoplanets and Kepler candidates that orbit interior to 0.1 AU. Our results confirm a correlation of the halting distance with stellar mass. Tidal halting provides the best fit to the empirical distribution of confirmed Jovian exoplanets at a statistically robust level, consistent with the Kozai mechanism and the spin–orbit misalignment of a substantial fraction of hot Jupiters. We can rule out migration halting at the interior 1:2 resonances with the magnetospheric disk truncation radius and the interior 1:2 resonance with the dust disk sublimation radius, a uniform random distribution, and a distribution with no dependence on stellar mass. Note that our results do not rule out Type-II migration, but rather eliminate the role of a circumstellar disk in stopping exoplanet migration. For Kepler candidates, which have a more restricted range in stellar mass compared to confirmed planets, we are unable to discern between the tidal dissipation and magnetospheric disk truncation braking mechanisms at a statistically significant level. The power-law model favors exponents in the range of 0.38–0.9. This is larger than that predicted for tidal halting (0.23–0.33), which suggests that additional physics may be missing in the tidal halting theory.
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Plavchan & Bilinski (2013) ruled out scenarios in which hot Jupiters' inner semi-major axis is set by the magnetospheric cavity, for which they expect scaling as M_star^{1/7}.
“They ruled out scenarios in which hot Jupiters' inner semi-major axis is set by the magnetospheric cavity (i.e., in situ formation at the inner disk edge or disk migration halted at a 2:1 resonance with the inner disk edge), for which they expect the inner semi-major axis to scale as M 1 / 7 ⋆ .”
From Origins of Hot Jupiters (2018) · cites this paper as Plavchan & Bilinski (2013)
The Abstract rules out migration halting at the interior 1:2 resonance with the magnetospheric disk truncation radius for confirmed Jovian exoplanets, and §3.2 gives the predicted semi-major-axis scaling as M_star^(1/7). The paper does not test in situ formation at the inner disk edge; it also says the Kepler candidates do not distinguish magnetospheric from tidal halting at a statistically significant level. (LLM, conf=0.88)
Experimental — accuracy not yet measuredPlavchan & Bilinski (2013) found that the inner semi-major axis limit is consistent with scaling as M_star^{1/3}, as expected if high eccentricity delivers hot Jupiters to 2 a_Roche.
“They found that the inner semimajor axis limit is consistent with scaling as M 1 / 3 ⋆ , as expected if high eccentricity delivers hot Jupiters to 2 a Roche (Eqn. 15).”
From Origins of Hot Jupiters (2018) · cites this paper as Plavchan & Bilinski (2013)
Section 3.1 identifies a Roche-radius tidal model with a minimum semi-major-axis envelope scaling as M_star^{1/3}; Section 5 reports that this model fits the observed planets better than several alternatives. But Section 3.1 leaves the model’s proportionality constant free, so the paper does not establish an inner limit specifically at 2 a_Roche. The Conclusions also say the freely fitted power law favors a stronger stellar-mass dependence than tidal theories predict. (LLM, conf=0.84)
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Dawson, R. I., & Johnson, J. A. (2018) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081817-051853 · Cited by 622 · see citing works
- Authors
- Plavchan, P., & Bilinski, C.
- Affiliations
- California Institute of Technology (US)
- University of Arizona (US)
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2013-05-07
- Volume
- 769
- Issue
- 2
- Pages
- 86
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2095673514
- Cited by
- 35
- References
- 1
- Citations by year
- 2026: 1 · 2025: 1 · 2022: 2 · 2021: 1 · 2020: 1 · 2019: 3 · 2018: 5 · 2017: 2 · 2015: 3 · 2014: 10 · 2013: 3 · 2012: 1
- FWCI
- 2.88
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astrophysical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Funders
- National Aeronautics and Space Administration
- California Institute of Technology
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysics and Star Formation Studies
- Keywords
- hot Jupiters, tidal migration, dust sublimation radius, stellar mass dependence, Kozai mechanism, spin-orbit misalignment, type II migration
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