A Saturn year is 29.5 times the earth year. How far is the Saturn from the sun if the earth is 1.5xx10^8 km away from the sun?

A Saturn year is 29.5 times the earth year. How far is the Saturn from

1.	A Saturn year is 29.5 times the earth year. How far is the Saturn from the sun if the earth is 1.5xx10^8 km away from the sun?
Answer» SOLUTION :Given that `T_8 = 29.5 T_e` and `R_e = 1.5 xx 10^8 Km` ACCORDING to kepler.s third law , we can write `T^2 PROP R^3` ` = (T_s/T_e)^2 = (R_s/R_e)^3 rArr R_s = R_e (T_s/T_e)^(2//3)` ` rArr R_s = 1.5 xx 10^8 ((19.5T_e)/(T_e))^(2//3) rArr R_s = 1.43 xx 10^9 km`