Jim Fuller edited Rotation.tex  about 9 years ago

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In principle, any physical effect that breaks the spherical symmetry of the star within the radiative core will give rise to the greenhouse effect described in Section \ref{greenhouse}. Other than magnetic fields, the only obvious candidate is rotation, which breaks spherical symmetry via the Coriolis and centrifugal forces. Here we briefly describe how rotation could lead to dipole mode suppression, while in Section \ref{norotation} we discuss why rotation is a less likely candidate in most stars.  It is well known that the effects of rotation on oscillation mode eigenfunctions become large when the Coriolis parameter is of comparable to the mode frequency, i.e., when $\nu \sim 2 \nu_s$, where $\nu_s$ is the spin frequency. It is also well known that each region of a stable (differentially rotating) star must spin below the breakup frequency, $\nu_K = \sqrt{G M(r)/r^3}/(2 \pi)$. For an ascending red-giant like the one shown in Figure \ref{Fig:Struc}, the surface breakup frequency is $\nu_K \sim 8 \, \mu{\rm Hz}, Hz}$,  while $\nu_{\rm max} \sim 100 \, \mu{\rm Hz}$. \subsection{Problems with the Rotational Interpretation}