What is the change in energy required to move a satellite from an orbit of radius $2R$ to an orbit of radius $3R$? ($R$ = radius of the Earth)

$A$ satellite of mass $m$ revolving in a circular orbit of radius $r$ around the Earth has kinetic energy $E$. Then its angular momentum will be

$A$ satellite of mass $m$ is placed at a distance $r$ from the centre of the Earth (mass $M$). The mechanical energy of the satellite is

The total energy of a satellite in a circular orbit at a distance $(R+h)$ from the centre of the Earth varies as [ $R$ is the radius of the Earth and $h$ is the height of the orbit from Earth's surface].

$A$ satellite of mass $m$ is in a circular orbit of radius $3 R_E$ about the Earth (mass of Earth $M_E$,radius of Earth $R_E$). How much additional energy is required to transfer the satellite to an orbit of radius $9 R_E$?

Let the kinetic energy of a satellite be $x$,then its time of revolution $T$ is proportional to ..............