Answer to Question #169845 in Classical Mechanics for JAYVIE

Question

What is the period T of a planet which radius is as twice as of Earth when it completes one revolution in 875 days? ( Earth radius = 6.38 x 105 )

Answer 1

Answer

According to kepler law

Relationship between time period and radius is given

$T^2\propto R^3$

Therefore time period of planet is given

$T_p=T_e\times(\frac{R_p}{R_e}) ^{\frac{3}{2}}$

$T_p=875\times(\frac{2R_e}{R_e}) ^{\frac{3}{2}}\\=2474.5day$