Amplifying Resonant Repulsion with Inflated Young Planets, Overlooked Inner Planets, and Non-zero Initial $Δ$

Fuente: arXiv
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Main Authors: Xu, Yuancheng, Dai, Fei
Format: Preprint
Published: 2025
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author Xu, Yuancheng
Dai, Fei
author_facet Xu, Yuancheng
Dai, Fei
contents Most multi-planet systems around mature ($\sim 5$-Gyr-old) host stars are non-resonant. Even the near-resonant planet pairs still display 1-2\% positive deviation from perfect period commensurabilities ($Δ$) near first-order mean motion resonances (MMR). Resonant repulsion due to eccentricity tides was one of the first mechanisms proposed to explain the observed positive $Δ$. However, the inferred rates of tidal dissipation are often implausibly rapid (with a reduced tidal quality factor $Q_p^\prime \lesssim 10$). In this work, we attempt to amplify eccentricity tides with three previously ignored effects. 1) Planets tend to be inflated when they were younger. 2) Kepler-like Planets likely form as resonant chains parked at the disk inner edge, overlooked inner planets could have contributed to tidal dissipation of the whole system. 3) Disk migration captures planets into first-order MMR with non-zero initial deviation $Δ$, thereby lowering the amount of dissipation needed. We show that even after accounting for all three effects, $Q_p^\prime$ can only be amplified by about one order of magnitude, and still falls short of $Q_p^\prime$ values of Solar System planets. Therefore, eccentricity tides alone cannot fully explain the observed $Δ$ distribution. Other effects such as obliquity tides, planetesimal scattering, expanding disk inner edge, disk turbulence, divergent encounters, and dynamical instabilities must have contributed to dislodging planets from first-order MMR.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01903
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Amplifying Resonant Repulsion with Inflated Young Planets, Overlooked Inner Planets, and Non-zero Initial $Δ$
Xu, Yuancheng
Dai, Fei
Earth and Planetary Astrophysics
Most multi-planet systems around mature ($\sim 5$-Gyr-old) host stars are non-resonant. Even the near-resonant planet pairs still display 1-2\% positive deviation from perfect period commensurabilities ($Δ$) near first-order mean motion resonances (MMR). Resonant repulsion due to eccentricity tides was one of the first mechanisms proposed to explain the observed positive $Δ$. However, the inferred rates of tidal dissipation are often implausibly rapid (with a reduced tidal quality factor $Q_p^\prime \lesssim 10$). In this work, we attempt to amplify eccentricity tides with three previously ignored effects. 1) Planets tend to be inflated when they were younger. 2) Kepler-like Planets likely form as resonant chains parked at the disk inner edge, overlooked inner planets could have contributed to tidal dissipation of the whole system. 3) Disk migration captures planets into first-order MMR with non-zero initial deviation $Δ$, thereby lowering the amount of dissipation needed. We show that even after accounting for all three effects, $Q_p^\prime$ can only be amplified by about one order of magnitude, and still falls short of $Q_p^\prime$ values of Solar System planets. Therefore, eccentricity tides alone cannot fully explain the observed $Δ$ distribution. Other effects such as obliquity tides, planetesimal scattering, expanding disk inner edge, disk turbulence, divergent encounters, and dynamical instabilities must have contributed to dislodging planets from first-order MMR.
title Amplifying Resonant Repulsion with Inflated Young Planets, Overlooked Inner Planets, and Non-zero Initial $Δ$
topic Earth and Planetary Astrophysics
url https://arxiv.org/abs/2502.01903