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We report rotation periods for 20 cool (FGK) main sequence member stars ofthe 4 Gyr-old open cluster M 67 (= NGC 2682), obtained by analysing data fromCampaign 5 of the K2 mission with the Kepler Space Telescope. The rotationperiods delineate a sequence in the color-period diagram (CPD) of increasingperiod with redder color. This sequence represents a cross-section at thecluster age of the surface P = P (t, M), suggested in prior work to extend toat least solar age. The current Sun is located marginally (approx. one sigma)above M 67 in the CPD, as its relative age leads us to expect, and lies on theP = P (t, M) surface to within measurement precision. We therefore concludethat the solar rotation rate is normal, as compared with cluster stars, a factwhich strengthens the solar-stellar connection. The agreement between the M\,67rotation period measurements and prior predictions further implies thatrotation periods, especially when coupled with appropriate supporting work suchas spectroscopy, can provide reliable ages via gyrochronology for other similarFGK dwarfs from the early main sequence to solar age and likely till the mainsequence turnoff. The M 67 rotators have a rotational age of 4.2 Gyr, with astandard deviation of 0.7 Gyr, implying that similar field stars can beage-dated to precisions of ~17%. The rotational age of the M 67 cluster as awhole is therefore 4.2 Gyr, but with a lower (averaged) uncertainty of 0.2 Gyr.

astrophysical journal/the astrophysical journal

Rotation periods for cool stars in the 4 Gyr-old open cluster M67, the  solar-stellar connection, and the applicability of gyrochronology to at least  solar age