Two satellites with an identical mass of "m" are revolving around Earth that has a mass of "M" in the same circular path with radius of "r" but is always positioned at opposite ends of a diameter line as shown in the figure below. What would be their orbital period "T" value?

• A. $T=16\pi\sqrt{\frac{2r^3}{G\left(M+\frac{m}{4}\right)}}$
• B. $T=4\pi\sqrt{\frac{r^3}{G\left(M+\frac{m}{4}\right)}}$
• C. $T=16\pi\sqrt{\frac{r^3}{G\left(4M+m\right)}}$
• D. $T=4\pi\sqrt{\frac{r^3}{G\left(4M+m\right)}}$

Answer: (D)