Jim Fuller edited Magnetic Constraints.tex  almost 9 years ago

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The critical field strength $B_c$ is dependent on wave frequency, and lower frequency waves are more susceptible to magnetic suppression. For a given field strength, there is a transition frequency $\nu_c$ below which modes will be strongly suppressed and above which modes will appear normal. Stars which show this transition are especially useful because they allow for a measurement of $B$ at the H-burning shell via equation \ref{eqn:Bc}, evaluated at the transition frequency $\omega = 2 \pi \nu_c$.  The lower RGB star KIC 8561221 analyzed by \cite{Garcia_2014} shows this transition. Using the approximate observed value of $\nu_c \approx 600 \, \mu{\rm Hz}$. We compute that the radial component of the magnetic field within the H-burning shell is $B \approx 1.5 \times 10^{7} \, {\rm G}$. This large field strength may indicate KIC 8561221 is the descendant of a magnetic Ap star whose internal field was much stronger than the typical surface fields of $B \sim 3\times 10  \, {\rm kG}$ of Ap stars \citep{Auri_re_2007}.