Question

Define orbital velocity derive an expression for the orbital velocity of a satellite

Answer 1

Hey buddy here is ur answer ....!!!!

Orbital velocity is the velocity given to artificial satellite so that it may start revolving around the earth. Expression for orbital velocity: Consider, a satellite of mass 'm' is revolving around the earth in a circular orbit of radius 'r', at a height 'h' from the surface of the earth.


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Answer 2

Answer: V=$\sqrt{GM/r}$

Explanation:

Orbital velocity is defined as the velocity at which a body (satellite) revolves around the other body (earth).

Orbital velocity is derived in the following way:

$F_{g}$=GMm/$r^{2}$ (gravitational force between the earth and the satellite) (eq.1)

$F_{c}$=m$v^{2}$/r (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

$F_{g}$= $F_{c}$(from eq.1 and eq.2)

GMm/$r^{2}$=m$v^{2}$/r

V=$\sqrt{GM/r}$  (eq.3)

Therefore, this is the equation of orbital velocity.