Orbital Speed of artificial satellite

Orbital Speed of artificial satellite

Satellite: 

Any object that revolves around another object or planet is called satellite of that object or planet.

The satellites are of two types

1.    Natural satellite

2.    Artificial satellite

1 . Natural satellite:  A satellite which naturally revolves around the planets or starts are called natural satellite. Such as moon, sun etc.

2 . Artificial satellite:  A satellite which is sent by the scientist to revolve around the earth is called artificial satellite.

Orbital Speed of artificial satellite

Expression for the orbital speed:

Suppose a satellite is revolving around the earth at height h from the surface of the earth. Here the mass of earth is M, the mass of satellite is m and the speed of satellite is v and the distance b/w the centre of the earth and the satellite is equal to R+h.  Since  satellite is revolving around the earth in circular path. So centripetal force is

                 F_c  = mV² / R+h ------- eqn(1)

This centripetal force is provided by the gravitational force of earth. so

F_c  = GMm / (R+h) ²  --------- eqn(2)

Combining both equations we get. So 

This equation represents the orbital speed of the artificial satellite. However if the height of the satellite from the earth is not very large so h is neglected and R+h becomes R and V becomes the Vorbital = Vorb

           

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