Two planets A and B of equal mass are having their period of revolutions T A and T B such that T A = 2 T B . These planets are revolving in the circular orbits of radii r A and r B respectively. Which

Question

Two planets A and B of equal mass are having their period of revolutions T A and T B such that T A = 2 T B . These planets are revolving in the circular orbits of radii r A and r B respectively. Which out of the following would be the correct relationship of their orbits?

TestHub · Accepted Answer

From Kepler's law of periods, T 2 ∝ R 3 Therefore, ⇒ T A T B 2 = r A r B 3 ⇒ 2 2 = r A 3 r B 3 , ⇒ r A 3 = 4 r B 3

Physics - Gravitation Question with Solution | TestHub

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