Two planets, A and B are orbiting a common star in circular orbits of radii R_A and R_B, respectively, with R_B=2 R_A. The planet B is 4 √ 2 times…

Two planets, A and B are orbiting a common star in circular orbits of radii $\displaystyle \mathrm{R}_{\mathrm{A}}$ and $\displaystyle \mathrm{R}_{\mathrm{B}}$, respectively, with $\displaystyle R_B=2 R_A$. The planet $\displaystyle B$ is $\displaystyle 4 \sqrt{2}$ times more massive than planet $\displaystyle A$. The ratio $\displaystyle \left(\frac{L_B}{L_A}\right)$ of angular momentum $\displaystyle \left(\mathrm{L}_{\mathrm{B}}\right)$ of planet B to that of planet $\displaystyle \mathrm{A}\left(\mathrm{L}_{\mathrm{A}}\right)$ is closest to integer $\displaystyle \_\_\_\_$.