Christoffer edited untitled.tex  over 8 years ago

Commit id: 0415c2565b56fcd760cae4651de3f14a72a332c7

deletions | additions      

       

The results from \cite{Baliunas_1995} can be summerise as follows: out of 112 stars with spectral class between F2 and M2 including the Sun 52 showed cycles with periods between 2.5 to 25 years, 29 showed variability, but no cycles and 31 showed no variability or only a linear trend. For stars with spectra class between G0 to K5 V a pattern of changes in the rotation and chromospheric activity on an evolutionary timescale was indetified. This pattern suggested that these stars could be separated into three distinct groups: 1) stars younger than 1 Gyr that were characterized by fast rotation and high average activity levels. These stars often show large variability, but rarly cycles; 2) stars of intermediate age that were characterized by moderate rotation rates and activity levels. These stars often had shooth cycles and 3) stars as old as the Sun or older that were characterized by slow rotation and low activity levels. Some of these stars showed smooth cycles and some showed flat activity levels.   \cite{1998ApJ...498L..51B} used the results from \cite{Baliunas_1995} to show that the difference between stars of intermediate age and stars of solar age or older gace rise to a discontinuous dependence of the ratio of the cycle to rotation frequency $\omega_{\ucu}/\Omega$ as a function of the Rossby number Ro (which is defined as ...). In this way stars of intermediate age generally showed a $\omaga_{\rm cyc} \propto {\rm Ro}^{-0.7}$ relationship, whereas the ratio $\omega_{\ucu}/\Omega$ increased by a factor of 6 for stars of solar age or older. This led them to suggest that the dynamo $\alpha$-parameter increases with magnetic field strength, contrary to the conventional idea of $\alpha$-quenching.  \cite{1999ApJ...524..295S}  \section{Rotation}  The study of stellar rotation was pioneered Robert P. Kraft in a series of papers \cite{Kraft_1965a, Kraft_1965b, Anderson_1966, Kraft_1967a, Kraft_1967b}. These observations, together with the early observation from Odie Wilson led to the famous Skumanich spin-down law \cite{Skumanich_1972}.