Question

The radius of a planet is R₁ and a satellite revolves around it in a radius R₂s Time period of revolution is T. Find the acceleration due to gravity.

• A. $\frac{4\pi^{2}R_{2}^{3}}{R_{1}^{2}T^{2}}$
• B. $\frac{4\pi^{2}R_{2}^{2}}{R_{1}T^{2}}$
• C. $\frac{2\pi^{2}R_{2}^{3}}{R_{1}T^{2}}$
• D. $\frac{4\pi^{2}R_{2}}{T^{2}}$

Answer 1

Answer: (A)

$\frac{4\pi^{2}R_{2}^{3}}{R_{1}^{2}T^{2}}$

Answer 2

T = $\frac{2\pi R_{2}^{3/2}}{\sqrt{GM}}orGM = \frac{4\pi^{2}R_{2}^{3}}{T^{2}}$

and g = $\frac{GM}{R_{1}^{2}} = \frac{4\pi^{2}R_{2}^{3}}{R_{1}^{2}T^{2}}$