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The period of revolution (t) of a planet around the sun depends upon radius (r) of the orbit, mass (m) of the sun and gravitational constant (G). Prove that t² ∝ r³ Don't spam -,- |
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Answer» are of Time PERIOD of a Planet revolving around the SUN is directly proportional to cube of RADIUS of orbit .-----------------------Here, The Gravitational Force between Planet and the Sun provide enough Centripetal force for the Revolution of the Planet .Hence Equating Gravitational Force and centripetal Force :Hence,-----------------------t = Time Period of Revolution m = mass of Planet M = mass of Sun r = radius of Orbit ω = Angular FrequencyG = Gravitational CONSTANT ----------------------- |
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