PX158 - I7c - chandrashekhar limit

E_{G} \propto \frac{M}{R}

\begin{aligned} E_{d} \propto n_{e}^{\frac{2}{3}} & \propto {(\frac{M}{R^{3}})}^{\frac{2}{3}} \\ ∴ E_{d} & \propto \frac{M^{\frac{2}{3}}}{R^{2}} \end{aligned}

E_{d} \propto \frac{M^{\frac{1}{3}}}{R}

now, $R$ scales similarly as with $E_{g}$ , but $M$ does not
this imbalance cases the $E_{g}$ to dominate, and the star collapses
the particular mass limit at which this occurs is called the chandrashekhar limit
for white dwarfs: $1.44 M_{⊙}$
for neutron stars: $2 - 3 M_{⊙}$