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Luminosity of a pulsing star

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In this problem we will make a crude estimate of how the luminosity carton of a pulsating star s related to the variations in its radius. This provides a way of estimating the amount by which the radius is changing for a star that we observe to pulse. We will consider a star whose unperturbed state consists of a luminosity L0 a radius R0 and a surface temperature T0. ... see attached

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The relation between the change in the radius and the luminosity of a pulsing star.

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