Period distributions in pulsating and binary stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Potential Energy, Stellar Interiors, Stellar Models, Stellar Oscillations, Variable Stars, Angular Momentum, Fine Structure, Main Sequence Stars, Star Clusters, Stellar Evolution, Stellar Luminosity, Stellar Mass

Scientific paper

The hypothesis of quantization in bands for the angular momenta of binary systems and for the amount of action Ac in stable and pulsating stars is analyzed. An elementary dimensional analysis shows that Ac(energy x time) varies as (period) exp 1/3 independently if Ac corresponds to the angular momentum in a binary system, or to the oscillation in a pulsating star or the inner energy and its timescale Peff in a stable star. The scenario suggested is that the potential energies and the amounts of action Ep(t),Ac(t) are indeed time-dependent, but the stars remain more time in determinated most probable states. The main sequence itself is an example of this. The most probable states in binary systems, or pulsating or stable stars, must be associated with velocity submultiples c/alpha(F), given by the velocity of light and the fine structure constant.

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