Answer to Question #336176 in Astronomy | Astrophysics for Diane

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

$\frac{T_1^2}{T_2^2}=\frac{a_1^3}{a_2^3},$

$T_1=T_2\sqrt\frac{a_1^3}{a_2^3}=44$ years.