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Two planets A and B of equal mass are having their period of revolutions T A and T B such that T A = 2T 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?

1. 3 B 2 A r r 2 =
2. 3 B 3 A r 2 r =
3. 3 B 3 A r 4 r =
4. 2 B 2 A T T − = ( ) 3 A 3 B 2 r 4 r GM − π

Correct answer: 3 B 3 A r 4 r =

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