... eccentricity

Once the density is given, the inequality (16) becomes in this way a defining equality for $e_{\rm max}$ such that $e <e_{\rm max}$ in order to maintain equilibrium.

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... zero

In case of angular velocity i.e. Eq. (54) this is somewhat different since $\Omega_0 \to 0$ as $e\to 1$ independently of the density.

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