A window on exoplanet dynamical histories: Rossiter–McLaughlin observations of WASP-13b and WASP-32b

We present Rossiter-McLaughlin observations of WASP-13b and WASP-32b and determine the sky-projected angle between the normal of the planetary orbit and the stellar rotation axis (). WASP-13b and WASP-32b both have prograde orbits and are consistent with alignment with measured sky-projected angles of = 8 +13 -12 and = -2 +17 -19 , respectively. Both WASP-13 and WASP-32 have T eff < 6250 K, and therefore, these systems support the general trend that aligned planetary systems are preferentially found orbiting cool host stars. A Lomb-Scargle periodogram analysis was carried out on archival SuperWASP data for both systems. A statistically significant stellar rotation period detection (above 99.9 per cent confidence) was identified for the WASP-32 system with P rot = 11.6 1.0 days. This rotation period is in agreement with the predicted stellar rotation period calculated from the stellar radius, R * , and vsin i if a stellar inclination of i * = 90 is assumed. With the determined rotation period, the true 3D angle between the stellar rotation axis and the planetary orbit, , was found to be = 11 14 . We conclude with a discussion on the alignment of systems around cool host stars with T eff < 6150 K by calculating the tidal dissipation time-scale. We find that systems with short tidal dissipation time-scales are preferentially aligned and systems with long tidal dissipation time-scales have a broad range of obliquities.