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In this paper, the period $\Pi$ of pulsation for a star can be obtained by means of the virial theorem:

$$\Pi = 2\pi\sqrt{\frac{sR^3}{(3\gamma - 4)qGM}}$$

where $s$ and $q$ are constants relating to the star and $\gamma = c_P/c_V$ is the ratio of specific heat capacities at constant pressure and volume. I would like to know how one can relate $\Pi$ to:

(a) the time of free fall

and

(b) the acoustic travel time

from the surface of the star to its center.

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  • $\begingroup$ Please define all the symbols. $\endgroup$ – Rob Jeffries Sep 1 '19 at 12:50
  • $\begingroup$ Done. I would appreciate a comprehensive answer to the two questions posed above $\endgroup$ – wrb98 Sep 1 '19 at 13:15
  • $\begingroup$ Check the paper I have provided at the beginning of the question for explicit definitions of q and s. $\endgroup$ – wrb98 Sep 1 '19 at 13:30
  • $\begingroup$ Write down a) and b) and divide them by $\Pi$? Or what else do you mean with 'relate'? $\endgroup$ – AtmosphericPrisonEscape Sep 1 '19 at 21:31

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