Question

Two planets,  and , revolving in a orbit around star. Planet  moves in an elliptical orbit whose semi-major axis has length Planet  moves in an elliptical orbit whose semi-major axis has a length of If planet  orbits with a period Find out the period of planet 's orbit?

A

B

C

D

E

Medium
Solution
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Correct option is B)

Kepler's third law of planetary motion gives    

    where time period of revolution  ,   length of semi major axis of elliptical orbit  

by this relation we get  ,  

                                   

but given  

                therefore  

               or              


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