Abstract
We fit the \emph{Kepler} photometric light curve of the KOI-368 system using an oblate, gravity-darkened stellar model in order to constrain its spin-orbit alignment. We find that the system is relatively well-aligned with a sky-projected spin-orbit alignment of , a stellar obliquity of , and a true spin-orbit alignment of . Although our measurement differs significantly from zero, the low value for is consistent with spin-orbit alignment. We also measure various transit parameters of the KOI-368 system: , , and . This work shows that our gravity-darkened model can constrain long-period, well-aligned planets and M-class stars orbiting fast-rotators, allowing for measurement of a new subcategory of transiting bodies.
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