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A planet (mass m) is orbiting a star (mass M) at a distance a. The distance...

A planet (mass m) is orbiting a star (mass M) at a distance a. The distance of the star from the centre of gravity of the system is a′ . Show that MP2 = a2 (a − a′) , where P is period in years, distances are in AU’s and masses in solar masses.

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Answer #1

the equation for centripetal force is given by

F= mwr2

where m mass of star , w angular velocity and r distance of planet of center of mass

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