Two planets, Xand Y, revolving in a orbit around star. Planet Xmoves in an elliptical orbit whose semi-major axis has length a. Planet Ymoves in an elliptical orbit whose semi-major axis has a length of 9a. If planet Xorbits with a period T, Find out the period of planet Y's orbit?
A
729T
B
27T
C
3T
D
T/3
E
T/27
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Solution
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Correct option is B)
Kepler's third law of planetary motion gives T2∝r3
where T= time period of revolution , r= length of semi major axis of elliptical orbit