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Units And Measurement

Question
CBSEENPH11016457

State Kepler's third law.What are its uses in measurement?

Solution

Kepler's third law states the time period, T of revolution of planet around the sun is directly proportional to cube of the semi major axis a of the orbit of planet.
i.e.               straight T squared space straight alpha space straight a cubed
                 space straight T squared space equals fraction numerator 4 straight pi squared over denominator GM end fraction straight a cubed

Kepler's law is used to measure the mass of the sun and to compare the radius of orbits of different planets.