Question

The radius of a planet is $R_1$ and a satellite revolves round it in a circle of radius $R_2$ the time period of revolution is T. find the acceleration due to the gravitation of the planet atits surface.

Answer 1

$T=2\pi \sqrt{\frac{R_2^2}{g{R}_1^2}}or{T}^2=4{\pi }^2\frac{R_2^2}{g{R}_1^2}org=\frac{4{\pi }^2}{T^2}\frac{R_2^2}{R_1^2}$
$\therefore$ Acceleration due to gravity of the planet is,
$=\frac{4{\pi }^2}{T^2}\frac{R_2^2}{R_1^2}$