$A$ satellite of mass $200 \,kg$ revolves around a planet of mass $5 \times 10^{30} \,kg$ in a circular orbit of radius $6.6 \times 10^6 \,m$. Binding energy of the satellite is .............. $J$

When a satellite going round the Earth in a circular orbit of radius $r$ and speed $v$ loses some of its energy,then $r$ and $v$ change as:

In a satellite,if the time of revolution is $T$,then $KE$ is proportional to

$A$ 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).

Choose the correct alternative:
$(a)$ If the zero of potential energy is at infinity,the total energy of an orbiting satellite is negative of its kinetic/potential energy.
$(b)$ The energy required to launch an orbiting satellite out of Earth's gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of Earth's influence.

$A$ planet is moving in an elliptical orbit around the sun. If $T, V, E$,and $L$ stand respectively for its kinetic energy,gravitational potential energy,total energy,and magnitude of angular momentum about the centre of force,which of the following is correct?