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1950•Monthly Notices of the Royal Astronomical SocietyOpen access

On the Luminosity-Velocity Relation of Cepheids

Svein Rosseland

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Abstract

The purpose of the paper is to clarify the ideas with respect to the phase relationship between luminosity and velocity of pulsating stars, which was recently discussed by Milne. Using a generalization of Milne's procedure and known results of non-adiabatic pulsation theory, it is shown that for small deviations from adiabatic equilibrium and a constant ratio of specific heats, the luminosity is closely in phase with the negative displacement, irrespective of the stellar model employed.

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The purpose of the paper is to clarify the ideas with respect to the phase relationship between luminosity and velocity of pulsating stars, which was recently discussed by Milne. Using a generalization of Milne's procedure and known results of non-adiabatic pulsation theory, it is shown that for small deviations from adiabatic equilibrium and a constant ratio of specific heats, the luminosity is closely in phase with the negative displacement, irrespective of the stellar model employed.

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Available abstract

The purpose of the paper is to clarify the ideas with respect to the phase relationship between luminosity and velocity of pulsating stars, which was recently discussed by Milne. Using a generalization of Milne's procedure and known results of non-adiabatic pulsation theory, it is shown that for small deviations from adiabatic equilibrium and a constant ratio of specific heats, the luminosity is closely in phase with the negative displacement, irrespective of the stellar model employed.

Key concepts: Physics, Cepheid variable, Adiabatic process, Luminosity, Astrophysics, Generalization, Stars, Phase (matter)

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