Two satellites $A$ and $B$ of masses 200 kg and 400 kg are revolving around the earth at height of 6

Question

Two satellites $A$ and $B$ of masses 200 kg and 400 kg are revolving around the earth at height of 600 km and 1600 km respectively. If $T_A$ and $T_B$ are the time periods of $A$ and Brespectively then the value of $T_B-T_A$ [ Given: radius of earth $=6400 \mathrm{~km}$, mass of earth $=6 	imes 10^{24} \mathrm{~kg}$ ]

Professor PC Thomas Classes · Answer

Using Kepler's Third Law $T = \frac{2\pi(R+h)^{3/2}}{\sqrt{GM}}$, compute $T_A$ and $T_B$ and take difference.