Quiz 1You have learned that Kepler’s third law, P2 = a3, applies to any object orbiting the sun. Newton was able to derive Kepler’s third law using his law of gravity. Newton’s version includes the mass of both objects, P2 = a3 / (M1 + M2), and can be used for any object that orbits any astronomical body. In this formula, the masses are measured in special units called solar mass units. The mass of the sun is equal to one solar mass unit. If the mass of the second object is very small compared with the first mass, then, to a good approximation, P2 = a3 / M1. Solving for the mass, we get M1 = p2 / a3. Use this mass formula to determine the mass of Jupiter using data from its moon Sinope: period of orbit is 2.075 years, average orbital distance is 0.158 astronomical units.calculated mass of Jupiter: _______ solar mass units
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