$A$ satellite moves in a stable circular orbit around the Earth if (where $V_{H}$,$V_{c}$,and $V_{e}$ are the horizontal velocity,critical velocity,and escape velocity respectively):

Does a satellite require fuel to orbit around the Earth?

Two planets $A$ and $B$ are orbiting around the sun. The distances of the two planets $A$ and $B$ from the sun are $r_A$ and $r_B$ respectively. Also $r_B = 225 r_A$. If the orbital speed of the planet $A$ is $V$, then the orbital speed of planet $B$ will be

Write the equation for the orbital velocity of a satellite revolving very close to the surface of the Earth.

$A$ satellite is in an elliptic orbit around the Earth with an aphelion of $6R$ and a perihelion of $2R$,where $R = 6400 \, km$ is the radius of the Earth. Find the eccentricity of the orbit. Find the velocity of the satellite at apogee and perigee. What should be done if this satellite has to be transferred to a circular orbit of radius $6R$? $(G = 6.67 \times 10^{-11} \, SI \text{ units and } M = 6 \times 10^{24} \, kg)$

What is a satellite? Give its types and uses.