A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is 1.50 xx 10^(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 1.50 xx 10^(8) Km away from the sun ?
Answer» SOLUTION :Given that `T_(s) = 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)` `rArr ((T_(s))/(T_(e)))^(2) = ((R_(s))/(R_(e)))^(3) R_(s) = R_(2)((T_(s))/(T_(e)))^(2//3)` `rArr R_(3) = 1.5 xx 10^(8)((29.5 T_(e))/(T_(e)))^(2//3) rArr R_(3) = 1.43 xx 10^(9)Km`