Answer to Question #64992 in Astronomy | Astrophysics for Jen

Question #64992

A moon orbits a planet at a distance of 1,010,000 km the moons orbital period about the planet is 15.9 days. What is the mass of the planet?

Expert's answer

T^2=4Pi^2a^3/(GM), M=4Pi^2a^3/(GT^2)=4×3.14^2×1.01^3×10^27/(6.67×10^(-11)×[15.9×24×3600]^2)=3.22×10^26 kg

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