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A seven-planet resonant chain in TRAPPIST-1 (1703.04166v2)

Published 12 Mar 2017 in astro-ph.EP, astro-ph.IM, and astro-ph.SR

Abstract: The TRAPPIST-1 system is the first transiting planet system found orbiting an ultra-cool dwarf star. At least seven planets similar to Earth in radius and in mass were previously found to transit this host star. Subsequently, TRAPPIST-1 was observed as part of the K2 mission and, with these new data, we report the measurement of an 18.77 d orbital period for the outermost planet, TRAPPIST-1h, which was unconstrained until now. This value matches our theoretical expectations based on Laplace relations and places TRAPPIST-1h as the seventh member of a complex chain, with three-body resonances linking every member. We find that TRAPPIST-1h has a radius of 0.727 Earth radii and an equilibrium temperature of 173 K. We have also measured the rotational period of the star at 3.3 d and detected a number of flares consistent with a low-activity, middle-aged, late M dwarf.

Citations (256)

Summary

  • The paper reports an 18.77-day orbital period for TRAPPIST-1h, confirming its role in a resonant chain based on Laplace relations.
  • It employs EVEREST and Gaussian process pipelines with MCMC analysis to overcome K2 noise and detect Earth-sized transits.
  • Tidal simulations indicate significant heating in inner planets, supporting models of slow migration and resonant capture in planet formation.

A Seven-Planet Resonant Chain in TRAPPIST-1

This paper elucidates the discovery of a seven-planet resonant chain in the TRAPPIST-1 system, with a specific focus on determining the orbital period of the outermost planet, TRAPPIST-1h. The TRAPPIST-1 star, an ultra-cool dwarf, hosts at least seven transiting planets of Earth-like radius, constituting a significant point of interest in exoplanetary studies. The research outlines the application of data from NASA's {\it K2} mission to achieve a precise measurement of TRAPPIST-1h's orbital period, which is critical for understanding the dynamical architecture of this complex planetary system.

Key Findings

  1. Orbital and Physical Characteristics:
    • The orbital period of TRAPPIST-1h is found to be 18.77 days, aligning with theoretical predictions based on Laplace resonant relations.
    • TRAPPIST-1h is positioned as part of a resonant chain, linking it via three-body resonances with its neighboring planets.
    • It has a calculated radius of 0.727 Earth radii and an equilibrium temperature of 169 K.
  2. Data Analysis Techniques:
    • The authors employed both EVEREST and Gaussian process pipelines to overcome instrumental noise in the {\it K2} light curves and achieve a photometric precision adequate for detecting Earth-sized transits.
    • A transit search was carried out using Box-fitting Least Squares (BLS) and Markov Chain Monte Carlo (MCMC) methods. The analysis confirmed periodic signals associated with TRAPPIST-1h congruent with the anticipated resonant period.
  3. Tidal and Dynamical Insights:
    • The paper presents tidal simulations indicating that the inner planets undergo significant tidal heating, with fluxes comparable to Io, one of Jupiter's moons.
    • The arrangement of planets suggests that resonant capture during migration within a protoplanetary disk may have played a critical role in the formation of the system.

Implications and Future Directions

The documented resonance structure presents significant implications both theoretically and practically. Resonances in exoplanet systems offer insights into the dynamical history and migration processes involved during planet formation. For TRAPPIST-1, the resonant configuration suggests slow migration in a low-mass disk, providing a tangible case for modeling planetary formation and evolution theories.

The precise orbital characterization of TRAPPIST-1h expands the potential for atmospheric characterization using techniques such as transit spectroscopy. This aspect is particularly vital given the relatively cooler equilibrium temperatures of the outer planets, aligning them proximally to the conservative habitable zone, thereby raising the possibility of studying conditions for habitability in detail.

As the paper leverages data from the K2 mission, ongoing and future missions like the James Webb Space Telescope (JWST) are poised to provide higher precision transit data, potentiating intricate atmospheric studies. This enhances our understanding of the atmospheres of ultra-cool dwarf star systems and their capacity to support life, marking a promising frontier in exoplanetary research.

In summary, this research substantially contributes to the field by providing a comprehensive analysis of the TRAPPIST-1 system's dynamic structure and offering a foundational understanding that may inform future explorations of planetary formation and habitability in resonant planetary chains.

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