Answer to Question #347639 in Astronomy | Astrophysics for jai

Question

The orbital period of Planet A is 16 years and its average distance to Star B is

5.25 a.u. Another planet called Planet C has an average distance of 10.3 a.u.

from Star B, using Kepler’s Third Law of Planetary Motion, compute the orbital

period of Planet C to Star B in days.

Answer 1

$T_1=T_2(\frac{a_1}{a_2})^{\frac 32}=44~\text{years}.$