Observational constraints on tidal effects using orbital eccentricities

TL;DR

This study uses radial velocity data and Bayesian analysis to investigate tidal effects on exoplanet orbits, confirming some eccentricities and challenging others, and explores the role of tides in orbital and stellar spin evolution.

Contribution

It introduces a modified eccentricity analysis focusing on null hypothesis rejection, providing new radial velocity data and insights into tidal effects on exoplanetary systems.

Findings

No evidence for eccentricity in 7 studied planets.

Confirmed small eccentricity for HAT-P-16b and eccentricity for WASP-14b.

Identified stellar rotation excess in several systems.

Abstract

We have analysed radial velocity measurements for known transiting exoplanets to study the empirical signature of tidal orbital evolution for close-in planets. Compared to standard eccentricity determination, our approach is modified to focus on the rejection of the null hypothesis of a circular orbit. We are using a MCMC analysis of radial velocity measurements and photometric constraints, including a component of correlated noise, as well as Bayesian model selection to check if the data justifies the additional complexity of an eccentric orbit. We find that among planets with non-zero eccentricity values quoted in the literature, there is no evidence for an eccentricity detection for the 7 planets CoRoT-5b, WASP-5b, WASP-6b, WASP-10b, WASP-12b, WASP-17b, and WASP-18b. In contrast, we confirm the eccentricity of HAT-P-16b, e=0.034\pm0.003, the smallest eccentricity that is reliably measured so far for an exoplanet as well as that of WASP-14b, which is the planet at the shortest period (P=2.24 d), with a confirmed eccentricity, e= 0.088\pm0.003. As part of the study, we present new radial velocity data using the HARPS spectrograph for CoRoT-1, CoRoT-3, WASP-2, WASP-4, WASP-5 and WASP-7 as well as the SOPHIE spectrograph for HAT-P-4, HAT-P-7, TrES-2 and XO-2. We show that the dissipative effect of tides raised in the planet by the star and vice-versa explain all the eccentricity and spin-orbit alignment measurements available for transiting planets. We revisit the mass-period relation (Mazeh et al. 2005, Pont 2011) and consider its relation to the stopping mechanism of orbital migration for hot Jupiters. In addition to CoRoT-2 and HD 189733 (Pont 2009), we find evidence for excess rotation of the star in the systems CoRoT-18, HAT-P-20, WASP-19 and WASP-43.