Question

the earth is 1.5 x 1011m from the sun with a period of 365.2 days. what is the period of venus which is 1.08 x 1011m from the sun?

Answer 1

P^2 = C R^3 Kepler's third law

(P1 / P2)^2 = (R1 / R2)^3

P1 = (R1 / R2)^3/2 * P2

P1 = (1.08E11 / (1.50E11)^3/2 * 365.2

P1 = (1.08 / 1.50)^1.5 * 365.2 = 223 days period of Venus