A = (58000, 1390)

B = (62000, 1490)

C = (62750, 1500)

D = (63500, 1510)

E = (67300, 1602)

F = (67350, 1605)

G = (77300, 1860)

 

Pictured below are the orbital paremeters for several moons orbitting the same planet. Each moon orbits in a nearly perfect circle. Find the mass of the planet. Note: Gm means gigameters, which is millions of kilometers. The Moon is about 0.384 Gm from the Earth. (Yes, the errorbars are pretty small.) Orbital Radius Cubed (Gm) 1800 1700 1600 1500 1400 1389000 60000 65000 70000 Period Squared (days) Figure 1: The periods of several moons of a planet, given their orbital radii. 75000 80000