Spin-Orbit Alignment For 110-Day-Period KOI368.01 From Gravity Darkening

preprint2014arXivOpen access

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 λ=10∘±2∘λ=10^{\circ}\pm2^{\circ}, a stellar obliquity of ψ=3∘±7∘ψ=3^{\circ}\pm7^{\circ}, and a true spin-orbit alignment of φ=11∘±3∘φ=11^{\circ}\pm3^{\circ}. Although our measurement differs significantly from zero, the low value for φφ is consistent with spin-orbit alignment. We also measure various transit parameters of the KOI-368 system: R⋆=2.28±0.02R⊙R_{\star}=2.28\pm0.02 R_{\odot}, Rp=1.83±0.02RjupR_{p}=1.83\pm0.02R_{jup}, and i=89.221∘±0.013∘i=89.221^{\circ}\pm0.013^{\circ}. 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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