The total energy of a circularly orbiting satellite is

$A$ satellite of $10^3 \text{ kg}$ mass is revolving in a circular orbit of radius $2R$. If $\frac{10^4 R}{6} \text{ J}$ of energy is supplied to the satellite,it would revolve in a new circular orbit of radius: (use $g = 10 \text{ m/s}^2$,$R = \text{radius of earth}$) (in $R$)

$A$ satellite is revolving around a planet of mass $M$ in an elliptical orbit of semi-major axis $a$. What is the speed of the satellite when it is at a distance $a/2$ from the planet?

The additional kinetic energy to be provided to a satellite of mass $m$ revolving around a planet of mass $M$ to transfer it from a circular orbit of radius $R_1$ to another of radius $R_2$ $(R_2 > R_1)$ is:

Show the nature of the following graphs for a satellite orbiting the Earth:
$(a)$ $KE$ versus orbital radius $R$
$(b)$ $PE$ versus orbital radius $R$
$(c)$ $TE$ versus orbital radius $R$

For a satellite orbiting around the earth in a circular orbit,the ratio of potential energy to kinetic energy at the same height is