$A$ satellite is orbiting the Earth. If its orbital radius is reduced to half of its initial value,then the percentage change in its total energy is: (in $\%$)

$A$ satellite moves around the earth in a circular orbit of radius $r$ with speed $v$. If the mass of the satellite is $M$,its total energy is

Initially, a satellite of $100 \ kg$ is in a circular orbit of radius $1.5 R_E$. This satellite can be moved to a circular orbit of radius $3 R_E$ by supplying $\alpha \times 10^6 \ J$ of energy. The value of $\alpha$ is . . . . . . .
(Take Radius of Earth $R_E = 6 \times 10^6 \ m$ and $g = 10 \ m/s^2$)

Two satellites $A$ and $B$,with a mass ratio of $3:1$,are in circular orbits of radii $r$ and $4r$ respectively. The ratio of the total mechanical energy of $A$ to $B$ is:

In a satellite,if the time of revolution is $T$,then the potential energy $(PE)$ is proportional to ..........

If $R$ is the radius of orbit of a satellite,then the kinetic energy of the satellite is