Question

derive an expression for orbital velocity of a satellite. Establish a relation for orbital velocity of a satellite orbiting very close to the surface of earth.

Answer 1

Let a satellite of mass m is orbiting in a circular orbit of radius r with an orbital velocity (vorb)
For its successful orbiting
Centripetal force = Gravitational force due to earth

{mv {orb}^{2} \div r} = gm \div r { }^{2} [/tex]
$vorb \: = \: \sqrt{gm \div r}$

where m is the mass of earth

Answer 2

Ve=11.2 km/s               Vo=7.9 km/s

keeping radius r