Two planets $$A$$ and $$B$$ having masses $$m_1$$ and $$m_2$$ move around the sun in circular orbits of $$r_1$$ and $$r_2$$ radii respectively. If angular momentum of $$A$$ is $$L$$ and that of $$B$$ is $$3L$$, the ratio of time period $$\left(\frac{T_A}{T_B}\right)$$ is:

A

$$\left(\frac{r_2}{r_1}\right)^{3/2}$$

B

$$\frac{1}{27}\left(\frac{m_2}{m_1}\right)^3$$

C

$$27\left(\frac{m_1}{m_2}\right)^3$$

D

$$\left(\frac{r_1}{r_2}\right)^3$$