A Saturn year is 29.5 times the Earth year. How far is the Saturn from the Sun if the Earth is 1.50 x 108 km away from the Sun?
Distance of Earth from Sun,re=1.5×1011 m Time period of Earth =Te Time period of Saturn,Ts=29.5 Te Distance of Saturn from the Sun=rs From Kepler’s third law of planetary motion, T=GM4π2r3 ⟹rs3/re3=Ts2/Te2 rs=re(Ts/Te)2/3 =1.5×1011×29.52/3 =14.32×1011 m Therefore, the distance between Saturn and the Sun is 1.43×1012 m.
