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Table 5

Three seven-spot solutions for KIC 7985370.

Parametera Case Ab Case Ab Case Bb

inclination i 75°.0 fixed 41°.4 32°.6
1st latitude β1 34°.0 29°.4 22°.6
2nd latitude β 2  −10°.0  −6°.9 .3c
3rd latitude β3 32°.2 29°.9 27°.7
4th latitude β 4 86°.8 87°.5 87°.8
5th latitude β 5 53°.8 53°.6 51°.1
6th latitude β 6 35°.8 35°.8 33°.0
7th latitude β 7 29°.6 19°.9 10°.0
1st period P 1 2.8581 2.8563 2.8572
2nd period P 2 2.8350 2.8428 2.8475
3rd period P 3 2.8541 2.8572 2.8644
4th period P 4 3.0895 3.0898 3.0888
5th period P 5 2.9382 2.9421 2.9417
6th period P 6 2.8629 2.8700 2.8754
7th period P 7 2.8490 2.8460 2.8487
spot intensity κ 0.437 0.396 0.406
equ. period P eq 2.8347 2.8427 2.8474
deviation C/B 0.28 0.28 0.21
diff. rotation 0.1839 0.1774 0.1729
residuals  ± 2.46  ± 2.14  ± 2.12

Notes. Listed are expectation values and 1-σ confidence limits.

(a)

Latitudes β are derived from the assumed law of differential rotation (Eq. (2)). Periods P are given in days, and the spot intensity κ in units of the intensity of the unspotted surface. The ratio C/B measures the deviation from a pure sin2-law of differential rotation. The differential rotation dΩ (rad d-1) is the equator-to-pole value of the shear. Residuals are in mmag.

(b)

Case A refers to rectified data, and case B to non-rectified one. To derive the case-B solution, the case-A solution has been taken as a starting point for the MCMC parameter estimation. In the first case-A solution, the inclination is fixed to i = 75°.

(c)

The second spot is near the equator, therefore, the hemisphere that it belongs to is doubtful.

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