Stellar virial theorem
= Stellar virial theorem
For a self-gravitating fluid star with surface pressure $P_s$, volume $V$, kinetic energy $T$, gravitational energy $\Omega$, and $I=\int r^2dm$,
$$
\frac12\ddot I=2T+3\int P\,dV-3P_sV+\Omega.
$$
= Stellar virial theorem
For a self-gravitating fluid star with surface pressure $P_s$, volume $V$, kinetic energy $T$, gravitational energy $\Omega$, and $I=\int r^2dm$,
$$
\frac12\ddot I=2T+3\int P\,dV-3P_sV+\Omega.
$$