Thermal Emission and Tidal Heating of the Heavy and Eccentric Planet XO-3b

TL;DR

This study measures the infrared flux ratios of XO-3b, confirming a thermal inversion likely caused by high stellar irradiation, and estimates its orbital eccentricity and tidal heating effects.

Contribution

First detailed infrared flux measurements of XO-3b across four IRAC bands, confirming a thermal inversion and constraining its orbital eccentricity and tidal heating parameters.

Findings

XO-3b exhibits a thermal inversion consistent with high stellar irradiation.

Orbital eccentricity of XO-3b is estimated at e = 0.277 ± 0.009.

Tidal heating is significant in explaining XO-3b's inflated radius.

Abstract

We determined the flux ratios of the heavy and eccentric planet XO-3b to its parent star in the four IRAC bands of the Spitzer Space Telescope: 0.101% +- 0.004% at 3.6 micron; 0.143% +- 0.006% at 4.5 micron; 0.134% +- 0.049% at 5.8 micron and 0.150% +- 0.036% at 8.0 micron. The flux ratios are within [-2.2,0.3, -0.8, -1.7]-sigma of the model of XO-3b with a thermally inverted stratosphere in the 3.6 micron, 4.5 micron, 5.8 micron and 8.0 micron channels, respectively. XO-3b has a high illumination from its parent star (Fp ~(1.9 - 4.2) x 10^9 ergs cm^-2 s^-1) and is thus expected to have a thermal inversion, which we indeed observe. When combined with existing data for other planets, the correlation between the presence of an atmospheric temperature inversion and the substellar flux is insufficient to explain why some high insolation planets like TrES-3 do not have stratospheric inversions and some low insolation planets like XO-1b do have inversions. Secondary factors such as sulfur chemistry, atmospheric metallicity, amounts of macroscopic mixing in the stratosphere or even dynamical weather effects likely play a role. Using the secondary eclipse timing centroids we determined the orbital eccentricity of XO-3b as e = 0.277 +- 0.009. The model radius-age trajectories for XO-3b imply that at least some amount of tidal-heating is required to inflate the radius of XO-3b, and the tidal heating parameter of the planet is constrained to Qp < 10^6 .