Question

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)` away from the sun?

Answer 1

Here, `T_(s) = 29.5 T_(e) , R_(e) = 1.5 xx 10^(8) km, R_(s) = ?`
Using the relation, `(T_(s)^(2))/(T_(s)^(3)) = (T_(e)^(2))/(R_(e)^(3)) `or `R_(s) = R_(e) ((T_(s))/(T_(e)))^(2//3) = 1.5 xx 10^(8) ((29.5 T_(e))/(T_(e)))^(2//3) = 1.43 xx 10^(9) km`