Non-linear oscillations and beats in the beta Canis Majoris stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Equations Of Motion, Orbital Resonances (Celestial Mechanics), Stellar Oscillations, Incompressible Fluids, Nonlinearity, Wave Attenuation

Scientific paper

Notwithstanding a great number of hypotheses, suggested for explaining superpositions of the light and of the velocity variations of the beta Canis Majoris stars, none of these does it satisfactorily. Possibly it is due to an inadequate elaboration of the non-linearly oscillation theory. Analysis and critical evaluation of the existing hypotheses are given by Mel'nikov and Popov (1970). Our explanation stands on the existence of close frequencies corresponding to various oscillation modes which are non-linearly interacting. The explanation is briefly discussed.

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