Question

4M 21.) A satellite A moves around a planet of mass4M, another satellite B moves around a planet of m the orbital period of satellite A in terms of that of satellite B if the orbital radius is the same for B.1-12TB E. TA-4T

Answer 1

Orbital Period is given by

Orbital period is given by T = 2 pi squareroot a^3/GM Rightarrow T_A/T_B = squareroot m_B/M_A = squareroot M/4M = 1/2 T_A = (1/2)T_B

=> $\frac{T_{A}}{T_{B}}=\sqrt{\frac{M_{B}}{M_{A}}}=\sqrt{\frac{M}{4M}}=\frac{1}{2}$

T_A=(1/2)T_B