Answer
Please see the work below.
Work Step by Step
We know that
$T=2\pi\sqrt{\frac{r^3}{GM_m}}$
Where $r=R_m+130000m=1737400+130000=1867400m$
We plug in the known values to obtain:
$T=2\pi\sqrt{\frac{(1867400)^3}{(6.67\times 10^{-11})(7.36\times 10^{22})}}=120.60\space minutes$
The time period while the astronaut was cut off$=\frac{T}{2}=60.3\space minutes$
