Question

Define orbital velocity of a satellite. Also derive an expression for it

Answer 1

Answer:

Orbital velocity of a Satellite is the velocity with which it traverses circular path around a planet (considerably just above the earth Surface)

Derivation:

When the satellite is revolving around the earth , it experiences Gravitational force. This force is providing the centripetal component for revolution of the satellite.

Let mass of satellite be "m" , mass of Earth be M , radius of Earth is R

$\therefore \: centripetal \: f = gravity \: f$

$= > \dfrac{gmM}{ {r}^{2} } = \frac{m {v}^{2} }{2}$

$= > v = \sqrt{ \dfrac{gM}{r} }$

This expression represents the fact that orbital Velocity is not dependent on the mass of the satellite.