Answer to Question #80548 in Mechanics | Relativity for Ankit

Question

Titan, a satellite of Saturn, has a mean orbital radius of 1.22 × 109 m. The orbital period
of Titan is 15.95 days. Hyperion, another satellite of Saturn, orbits at a mean radius of
1.48 × 109 m. Estimate the orbital period of Hyperion.

Answer 1

According to Kepler's third law
(T_1^2)/(T_2^2 )=(R_1^3)/(R_2^3 )
T_2=√((T_1^2·R_2^3)/(R_1^3 )=√484.18) =21.3 days