What is orbital velocity obtain an expression for it
Answers
Orbital velocity is defined as the velocity at which a body (satellite) revolves around the other body (earth).
The other ways to express orbital velocity are as follows:
The particle velocity due to wave motion
Production of orbital kinetic energy by the electron
Derivation of orbital velocity
Orbital velocity is derived in the following way:
Fg=GMmr2 (gravitational force between the earth and the satellite) (eq.1)
Fc=mV2r (centripetal force acting upon the satellite) (eq.2)
Where,
M: mass of the earth
m: mass of the satellite
r: radius of uniform motion of the satellite around the earth
r=R+h
Where,
R: radius of the earth
h: height of the satellite
V: linear velocity of the satellite
Fc: centripetal force
Fg: gravitational force
Fg=Fc (from eq.1 and eq.2)
GMmr2=mV2r
V=[GMr]12 (eq.3)
Therefore, this is the equation of orbital velocity.
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