An upper bound to the periods of radial pulsation of the sun

Astronomy and Astrophysics – Astronomy

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Solar Oscillations, Stellar Models, Adiabatic Conditions, Radial Distribution, Stratification

Scientific paper

The nature of the 160 min oscillation of the sun is investigated. It is shown that the periods of linear adiabatic radial pulsation of any stably stratified star with given mass M and radius R, and constant adiabatic exponent gamma, are bounded above by the period of the fundamental radial mode of the adiabatically stratified model. If M and R have the solar values, it is determined that the greatest period is 101.5 min. While this analysis does not generalize to the case when gamma is permitted to vary in a realistic way, it is argued that in that case the period of the adiabatically stratified model is likely to be a good estimate of the upper bound. This period is shown to be weakly dependent on composition, with its greatest value being 101.9 min when the heavy-element abundance is taken to be 2%.

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