Q: The Earth orbits the Sun with a semi-major axis of a = 1.496 x 10^(11) m. The period is (of course) 1 year. Convert the period into seconds, and use Kepler's Third Law to determine the combined mass of the Earth and the Sun. Re-arranging to solve for the combined mass, 4 pi^2 [1.496 x 10^(11) m]^3 (m1 + m2) = ----------------------------------------------- 6.67 x 10^(-11) N*m^2/kg^2 * (3.156 x 10^7 s)^2 = 1.99 x 10^(30) kg The great majority of this total mass belongs to the Sun.