Angular-momentum integrability of a Keplerian disk
= Angular-momentum integrability of a Keplerian disk
A <Keplerian disk> with <surface density> $\Sigma\sim r^{-p}$ at infinity has finite outer <mass> for $p>2$ and finite outer <angular momentum> for $p>5/2$, since the relevant integrals are $\int\Sigma r\,dr$ and $\int\Sigma r^{3/2}dr$. The borderline $p=5/2$ has logarithmically divergent angular momentum even though its mass converges.