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Table 3

MCMC observational results for HD 189733 and the dervied 3D spin-orbit obliquity.

veq (km s-1) i (°) a α λ (°) c1 (km s-1) c2 (km s-1) BIC χ 2 ψ (°)

3.25 ± 0.02b 90b 0b 0.45 ± 0.17 76.0 69.0 b
4.45 92.5 0.28–0.85c 0.42 70.1 56.2 6.8
4.50 92.0 0.30–0.86c 0.44 ± 0.21 0.01 71.4 54.0 6.3
4.46 92.3 0.29–0.85c 1.7 1.0 0.95 74.5 53.7 6.9

Notes.

(a)

i is constrained to 0–180°, and values >90° indicate the star’s rotation axis is pointig away from the LOS.

(b)

Fixed under the assumption of rigid body rotation; note this means the value in the veq column for this row corresponds to veq sin i and that we are unable to determine the 3D obliquity, ψ.

(c)

We present only the 1σ ranges as α is largely unconstrained by the data; however, we did find α is > 0.1 with 99.2% confidence.

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