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

What is the ratio of the kinetic energies of two satellites at heights $R$ and $3R$ from the surface of the Earth? ($R$ = radius of the Earth)

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

Obtain an expression for the total energy of a satellite revolving around the Earth.

Two satellites $A$ and $B$ having masses in the ratio $4: 3$ are revolving in circular orbits of radii $3r$ and $4r$ respectively around the earth. The ratio of total mechanical energy of $A$ to $B$ is.

$A$ launching vehicle carrying an artificial satellite of mass $m$ is set for launch on the surface of the earth of mass $M$ and radius $R$. If the satellite is intended to move in a circular orbit of radius $7R$,the minimum energy required to be spent by the launching vehicle on the satellite is ($G$ is the gravitational constant).