This communications explores the existence of a possible relationship between Luminosity and surface rotation for the study of the evolution of spotted stars using the data of Kepler’s and DI spotted stars. For the determination of such a relationship between luminosity and rotation the dependency of rotational shear on effective temperature is to be reviewed first. The strong dependence of rotational shear on the effective temperature in the range of 3000K and 6000K is confirmed by a power law. This dependence in turn introduces rotation as an evolutionary parameter for the study of the evolution of spotted stars. Multivariate Linear regression, Log-Log multivariate and Nonlinear Multivariate (2, 2) Degree models are constructed to determine the Luminosity of Kepler’s and Doppler imaging spotted stars with rotational shear, relative differential rotation and radius as independent variables. In this regard Log-Log model and Nonlinear Multivariate (2, 2) Degree model is best suited as compared to the linear model. In the next stage Log-Log model is applied to the main sequence Kepler’s stars (excluding giants) and also to the stars in the individual spectral classes A, F, G, K, and M. The model appears best for main sequence stars and also for the stars in the individual classes F-M. Applying the model on DI spotted stars the standard errors indicate that the adequacy of the model for DI spotted stars data is weak. A description of stellar motions and description of data and model used is given in the introduction.
Bowers R, Deeming T, Astrophysics I, Stars, Jones and Bartlett Publishers 1984.
Bray R Loughhead, Sunspots, Chapman and Hall Ltd., London 1964.
Gurevich LE, Lebedinskii AI. Zhur Eksp Teor Fiz 1946; 16: 840.
Romanchuk PR. The formation of sunspots and solar magnetic fields. I, Soviet Astronomy-AJ 1963; 7(3).
Eggenberger P, Meynet G, Maeder A. et al. A&A, 2010; 519: A116.
Ceillier T, Eggenberger P, Garcia RA, Mathis S. A&A, 2013; 555: A54.
Marques JP, Goupil MJ, Lebreton Y, et al. A&A, 2013; 549: A74.
Skumanich A. ApJ 1972; 171: 565.
Noyes RW, Hartmann LW, Baliunas SL, Duncan DK, Vaughan AH. ApJ 1984; 279: 763.
Soderblom DR, Duncan DK, Johnson DRH. ApJ 1991; 375: 722.
Reinhold T, Reiners A, Basri G. A&A 2013; 560: A4.
Barnes JR, Collier Cameron A, Donati J-F, James DJ, Maesden SC, Petit P. MNRAS 2005a; 357: L1.
DeLeeuw J. information to Akaike (1973) information theory and n extension theory and an extension of the maximum likelihood principal” in Kotz S, Johnson NL. Breakthoughts in Statistics I, Springer 1992; pp. 599-609.
Bierens HJ. Topics in Advance Econometrics: Estimation, testing, and specification of cross-section and time series models, Cambridge university press 1994.
Bowers R, Deeming T. Astrophysics I, Stars, Jones and Bartlett Publishers 1984.
Bray R, Loughhead R. Sunspots, Chapman and Hall Ltd., London 1964.
Stressmeier KG. Doppler images of starspots, Astronomische Nachrichten 2002; 323(3/4): 309-316.
Klaus G. meier, Starspots, A&A Review 2009; 17: 251-308.
Balona LA, Abedigamba OP. Differential rotation in K, G, F and A stars. MNRAS 000 2011; 1-11.
Collier Cameron A, Horne K, Penny A, Leigh C. MNRAS, 2002; 330: 187.
Nielsen M, Gizon L, Schunker H, Karoff C. 2013; arXiv preprint: 1305.5721
Reinhold T, Gizon L. Rotation, differential rotation, and gyrochronology of active Kepler stars. Astronomy & Astrophysics 2015; 583: id.A65, 15: 583. Available at: http://arxiv.org/abs/1507.07757
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