Light-crossing Times

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Light-crossing Times

The following are formulas for light-crossing times.
\[
t = \frac{r}{c}
\]
where $r$ is a distance.
\[
t \sim 500 \left(\frac{r}{{\rm 1 AU}} \right) \ \ {\rm seconds}
\]
where $r$ is in astronomical units (AU).

Light-crossing time per gravitational radius:
\[
t= \ \left(\frac{r_{g}}{c}\right) \ \sim 500M_{8} \ {\rm seconds}
\]
where $r_{g} = 1.4822 \times 10^{13} \ M_{8} \ {\rm cm}$ is the gravitational radius, where $M_{8}$ is the black-hole mass in units of $10^{8}$ solar masses.