Question

The period of a satellite in a circular orbit of radius $R$ is $T$. The period of another satellite in circular orbit of radius $4R$ is

• A. $\frac{T}{4}$
  
• B. $8T$
  
• C. $2T$
  
• D. $\frac{T}{8}$
  

Answer 1

The correct option is B $8T$

$T=2\pi \sqrt{\frac{R^3}{G{M}_e}}$

If $R=4R$

Then

$T^{\prime }=2\pi \sqrt{\frac{4R^3}{G{M}_e}}$

$8\left(2\pi \sqrt{\frac{R^3}{G{M}_e}}\right)$

$=8T$