The second order asymptotic theory for the solar and stellar low degree acoustic mode predictions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Sun: Oscillations, Stars: Oscillations

Scientific paper

We discuss the new asymptotic formulae, obtained by Tassoul and Vorontsov without the Cowling approximation, for the acoustic modes of low degree. We deduce second-order asymptotic expressions which recover the absolute value of the solar calculated eigenfrequencies within 10μHz for degrees lower than 12 and frequencies between 1mHz<=ν<=5mHz. This result is compared with the previous ones obtained in a first or second-order asymptotic theories. The different seismic parameters: {DELTA}ν_l,n_ , δ_2nu_l,n_ and δν_l,n_ , the phase shift α and its derivative β_l,n_ are also determined and the influence of the different physical processes are emphasized.

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