Question

Let the period of revolution of planet at a distance
R from a star be T Prove that if it was at a
distance of a R from the star its perind of
revolution will be √8 T​

Answer 1

$\bold{Answer\;:-}$

Given :-

• The period of revolution of planet = T

• The distance between two objects = r

• The distance between the planet and the star = R

To prove : If it was at a distance of a R from the star its period of revolution = √8 T

Solution : Refer to the attachment!

Extra : Refer to the attachment for the derivation of Kepler's third law.

$\bold{Hope\;it \; helps\;!}$