Low stellar obliquities in compact multiplanet systems

We measure the sky-projected stellar obliquities (\lambda) in the multiple-transiting planetary systems KOI-94 and Kepler-25, using the Rossiter-McLaughlin effect. In both cases the host stars are well-aligned with the orbital planes of the planets. For KOI-94 we find \lambda=-11+-11 deg, confirming a recent result by Hirano and coworkers. Kepler-25 was a more challenging case because the transit depth is unusually small (0.13 %). To obtain the obliquity it was necessary to use prior knowledge of the star's projected rotation rate, and apply two different analysis methods to independent wavelength regions of the spectra. The two methods gave consistent results, \lambda=7+-8 deg and -0.5+-5.7 deg. There are now a total of five obliquity measurements for host stars of systems of multiple transiting planets, all of which are consistent with spin-orbit alignment. This alignment is unlikely to be the result of tidal interactions, because of the relatively large orbital distances and low planetary masses in the systems. In this respect the multiplanet host stars differ from hot-Jupiter host stars, which commonly have large spin-orbit misalignments whenever tidal interactions are weak. In particular the weak-tide subset of hot-Jupiter hosts have obliquities consistent with an isotropic distribution (p=0.6), but the multiplanet hosts are incompatible with such a distribution (p~10^-6). This suggests that high obliquities are confined to hot-Jupiter systems, and provides further evidence that hot Jupiter formation involves processes that tilt the planetary orbit.