New distance measurements to the Pleiades and Formula Persei clusters

Abstract
We apply the new distance measuring technique of Hendry, O'Dell & Collier Cameron to the Pleiades and |$\alpha$| Persei clusters. The method relies on knowledge of the periods, rotational velocities and angular diameters of a small sample of the late-type stars within each cluster. The angular diameters of these stars were found by recalibrating the Barnes–Evans surface brightness relation for an improved calibration sample in the spectral range |$-0.15 \leq (B-V)_0\le 1.35$|⁠. Applying our new distance method, we derive a true distance modulus |$(m-M)_0=5.60$| mag for the Pleiades, and |$(m-M)_0=6.35$| mag for |$\alpha$| Persei. Our determination of the Pleiades distance is in good agreement with previous zero-age main-sequence fitting techniques, whereas our distance for |$\alpha$| Persei appears substantially greater. In response to the greater distance for |$\alpha$| Persei, we apply the relatively recent semi-empirical main-sequence fitting method of Vandenberg & Poll, which yields a true distance modulus of |$(m-M)_0=6.25$| mag, thereby providing substantial support for our findings.
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