A SIMPLE NONLINEAR MODEL FOR THE ROTATION OF MAIN-SEQUENCE COOL STARS. I. INTRODUCTION, IMPLICATIONS FOR GYROCHRONOLOGY, AND COLOR–PERIOD DIAGRAMS

By S. Barnes. 2010

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In Astronomy and Astrophysics

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THE STELLAR-ACTIVITY–ROTATION RELATIONSHIP AND THE EVOLUTION OF STELLAR DYNAMOS (2011, background): “This scaling was noted by Barnes & Kim (2010) who showed that the functional dependence of the angular momentum loss rate was related to the convective turnover time, and henceforth derived a new model for the rotational evolution of cool stars in terms of the Rossby number (Barnes 2010).”
THE EVOLUTION OF CATACLYSMIC VARIABLES AS REVEALED BY THEIR DONOR STARS (2011, result): “Finally, Stuart Littlefair has suggested another possible explanation to us: according to some recent studies of MB in noninteracting stars (Barnes 2003, 2007, 2010; Irwin et al. 2007; also see the discussion in Section 8.5), even partly radiative stars begin their life with spin-down rates…”
The Solar Twin Planet Search. I. Fundamental parameters of the stellar sample (2014, background): “Stellar activity is predicted to decay with time due to rotational braking (e.g., Skumanich 1972; Barnes 2010), but plots of activity index versus stellar age typically have very large scatter.”
MAGNETIC BRAKING FORMULATION FOR SUN-LIKE STARS: DEPENDENCE ON DIPOLE FIELD STRENGTH AND ROTATION RATE (2012, background): “…spin-down of stars (Kraft 1967; Skumanich 1972; Soderblom 1983); the possibility of using rotational properties to measure stellar ages (“gyrochronology”; Barnes 2003a, 2010; Mamajek & Hillenbrand 2008; Meibom et al. 2011; Epstein & Pinsonneault 2012); and the correlation of stellar activity with…”
Measuring the rotation period distribution of field M dwarfs with Kepler (2013, background): “We note that the Kepler and MEarth field M-dwarfs lie in the ‘rotational gap’ defined by Barnes (2010).”
Rotation, differential rotation, and gyrochronology of active Kepler stars (2015, background): “S R ] 2 8 Ju l 2 01 5 periods (Barnes 2003, 2007; Mamajek & Hillenbrand 2008; Meibom et al. 2009; Collier Cameron et al. 2009; James et al. 2010; Barnes 2010; Delorme et al. 2011; Meibom et al. 2011b).”
ROTATION PERIODS OF 34,030 KEPLER MAIN-SEQUENCE STARS: THE FULL AUTOCORRELATION SAMPLE (2014, background): “…period does not depend on the initial conditions, and therefore a tight relationship exists between the period, age and mass, which is known as gyrochronology, for which a range of empirical relations have been derived (e.g., Kawaler 1989; Barnes 2003, 2007, 2010; Mamajek & Hillenbrand 2008).”
CHARACTERIZING THE COOL KOIs. IV. KEPLER-32 AS A PROTOTYPE FOR THE FORMATION OF COMPACT PLANETARY SYSTEMS THROUGHOUT THE GALAXY (2012, methodology): “To estimate the age of Kepler-32 we use the age equation from Barnes (2010), t = τ kC ln ( P P0 ) + kI 2τ ( P 2 − P 20 ) .”
THE MASS-DEPENDENCE OF ANGULAR MOMENTUM EVOLUTION IN SUN-LIKE STARS (2014, background): “…of stellar spin rate in time (e.g., MacGregor & Brenner 1991; Denissenkov et al. 2010; Scholz et al. 2011; Reiners & Mohanty 2012; Gallet & Bouvier 2013; van Saders & Pinsonneault 2013; Brown 2014); and gyrochronology relations (Barnes 2003, 2010; Mamajek & Hillenbrand 2008; Meibom et al. 2009).”
Improved angular momentum evolution model for solar-like stars II. Exploring the mass dependence (2015, unknown): “Finally, Brown (2014) proposed a more sophisticated Barnes (2010) like model.”
THE KEPLER CLUSTER STUDY: STELLAR ROTATION IN NGC 6811 (2011, methodology): “…[transformed from g-r using equations by Jester et al. (2005) and corrected by E(B−V ) = 0.1] with the empirical color-period relation from younger clusters extrapolated to 1Gyr using P ∝ √ t (cross-section of orange surface in Figure 1) and with rotational evolution models from Barnes (2010).”
CHARACTERIZING THE COOL KOIs. II. THE M DWARF KOI-254 AND ITS HOT JUPITER (2011, methodology): “Assuming a ZAMS rotation period of 2.81 days, as required to reproduce the median rotation period for 0.6M⊙ Praesepe members, the Barnes (2010) gyrochrone relations predict an age of ≈780 Myrs from the 15.8 day rotation period of KOI-254.”