Tidal interactions shape period ratios in planetary systems with three-body resonant chains
arXiv:2308.07839 · doi:10.1051/0004-6361/202345852
Abstract
These last years several Systems with Tightly packed Inner Planets in the super-Earth mass regime have been discovered harboring chains of resonances. It is generally believed that planet pairs get trapped in MMR during the migration phase in the protoplanetary disk, while the tides raised by the host star provide a source of dissipation on very long timescales. In this work, we aim to study the departure from exact commensurabilities observed among the STIPs which harbor 3-planet resonances and analyze how tides play an important role in shaping the resonance offsets for the STIPs. We analyzed the resonance offsets between adjacent pairs for five multi-planetary systems, namely Kepler-80, Kepler-223, K2-138, TOI-178, and TRAPPIST-1, highlighting the existence of different trends in the offsets. On the one hand, we derived analytical estimates for the offsets, which confirm that the departure of the planetary pairs from the nominal MMRs are due to the 3-planet resonant dynamics. On the other hand, we performed N-body simulations including both orbital migration and tidal dissipation from the host star with simple prescriptions in order to test the effectiveness of this mechanism at shaping the observed trend in the offsets, focusing our study on the preservation of the resonant patterns in the different systems with the same general setup. We found that the trends in the offsets of the five detected systems can be produced by tidal damping effects, regardless of the considered value for the tidal factor. It is a robust mechanism that relaxes the system towards equilibrium while efficiently moving it along 3-planet resonances, which induces the observed resonance offset for each planet pair. In addition, we showed that for Kepler-80, K2-138, and TOI-178, the amplitudes of the resonant offsets can also be reproduced with appropriate tidal factor, for the estimated age of the systems.
arXiv commentAccepted for publication in A&A
References in corpus (45)
- Direct Imaging of Multiple Planets Orbiting the Star HR 8799
- Seven temperate terrestrial planets around the nearby ultracool dwarf star TRAPPIST-1
- Architecture of Kepler's Multi-transiting Systems: II. New investigations with twice as many candidates
- Temperate Earth-sized planets transiting a nearby ultracool dwarf star
- Validation of Kepler's Multiple Planet Candidates. III: Light Curve Analysis & Announcement of Hundreds of New Multi-planet Systems
- WHFast: A fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long term gravitational simulations
- Breaking the Chains: Hot Super-Earth systems from migration and disruption of compact resonant chains
- Migration and the formation of systems of hot super-Earths and Neptunes
- A seven-planet resonant chain in TRAPPIST-1
- The Lick-Carnegie Exoplanet Survey: A Uranus-mass Fourth Planet for GJ 876 in an Extrasolar Laplace Configuration
- Three-dimensional simulations of multiple protoplanets embedded in a protostellar disc
- REBOUNDx: A Library for Adding Conservative and Dissipative Forces to Otherwise Symplectic N-body Integrations
- Validation of Kepler's Multiple Planet Candidates. II: Refined Statistical Framework and Descriptions of Systems of Special Interest
- Dissipative Divergence of Resonant Orbits
- A resonant chain of four transiting, sub-Neptune planets
- Overstable Librations can account for the Paucity of Mean Motion Resonances among Exoplanet Pairs
- Resonant Repulsion of Kepler Planet Pairs
- Six transiting planets and a chain of Laplace resonances in TOI-178
- Transit Timing Observations from Kepler: VII. Confirmation of 27 planets in 13 multiplanet systems via Transit Timing Variations and orbital stability
- A Dynamical Analysis of the Kepler-80 System of Five Transiting Planets
- On the Age of the TRAPPIST-1 System
- Disk-planets interactions and the diversity of period ratios in Kepler's multi-planetary systems
- The K2-138 System: A Near-Resonant Chain of Five Sub-Neptune Planets Discovered by Citizen Scientists
- The Laplace resonance in the Kepler-60 system
- Analytical model of multi-planetary resonant chains and constraints on migration scenarios
- Exoplanet characterisation in the longest known resonant chain: the K2-138 system seen by HARPS
- Resonance breaking due to dissipation in planar planetary systems
- Planetary migration and the origin of the 2:1 and 3:2 (near)-resonant population of close-in exoplanets
- Resonance Capture and Dynamics of 3-Planet Systems
- Solid tidal friction in multi-layer planets: Application to Earth, Venus, a Super Earth and the TRAPPIST-1 planets. Can a multi-layer planet be approximated as a homogeneous planet?
- Three body resonances in close orbiting planetary systems: Tidal dissipation and orbital evolution
- Co-orbital exoplanets from close period candidates: The TOI-178 case
- The role of dissipative evolution for three-planet, near-resonant extrasolar systems
- Resonant Chains of Exoplanets: Libration Centers for Three-body Angles
- Proximity of exoplanets to first-order mean-motion resonances
- Confirming the 3:2 Resonance Chain of K2-138
- A Five-Planet Resonant Chain: Reevaluation of the Kepler-80 System
- TRAPPIST-1: Dynamical analysis of the transit-timing variations and origin of the resonant chain
- A Tidal Origin for a 3-body Resonance in Kepler-221
- An integrable model for first-order three-planet mean motion resonances
- Long-term tidal evolution of the TRAPPIST-1 system
- Transit-Timing Variation Signature of Planet Migration: The Case of K2-24
- Laplace-like resonances with tidal effects
- Is the orbital distribution of multiplanet systems influenced by pure three-planet resonances?
- The orbital evolution of resonant chains of exoplanets incorporating circularisation produced by tidal interaction with the central star with application to the HD 158259 and EPIC 245950175 systems
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