Tidal Dissipation Regimes Among the Short-Period Exoplanets

Abstract: The efficiency of tidal dissipation provides a zeroth-order link to a planet's physical properties. For super-Earth and sub-Neptune planets in the range $R_{\oplus}\lesssim R_p \lesssim 4 R_{\oplus}$, particularly efficient dissipation (i.e., low tidal quality factors) may signify terrestrial-like planets capable of maintaining rigid crustal features. Here we explore global constraints on planetary tidal quality factors using a population of planets in multiple-planet systems whose orbital and physical properties indicate susceptibility to capture into secular spin-orbit resonances. Planets participating in secular spin-orbit resonance can maintain large axial tilts and significantly enhanced heating from obliquity tides. When obliquity tides are sufficiently strong, planets in low-order mean-motion resonances can experience resonant repulsion (period ratio increase). The observed distribution of period ratios among transiting planet pairs may thus depend non-trivially on the underlying planetary structures. We model the action of resonant repulsion and demonstrate that the observed distribution of period ratios near the 2:1 and 3:2 commensurabilties implies $Q$ values spanning from $Q\approx 10^1-10^7$ and peaking at $Q \approx 10^6$. This range includes the expected range in which super-Earth and sub-Neptune planets dissipate ($Q \approx 10^3 - 10^4$). This work serves as a proof of concept for a method of assessing the presence of two dissipation regimes, and we estimate the number of additional multi-transiting planetary systems needed to place any bimodality in the distribution on a strong statistical footing.