Question

Hello, is it possible to have help with this question?

Answer 1

We know that the planets in the solar system orbit the sun in their elliptical paths. According to Kepler's third law on planetary motion

`((T_A)/(T_B))^2=((r_A)/(r_B))^3`

From equation (1), the period of revolution of Moon B is computed as:

`\begin{gathered} T_B=((4r)/(r))^{(3)/(2)}\cdot T_A \\ T_B=(4)^{(3)/(2)}20d \\ T_B=160\text{ days} \end{gathered}`