Orbital Velocity of Satellite: Satellites are natural or artificial bodies describing orbit around a planet under its gravitational attraction. Moon is a universal satellite while INSAT-1B is an artificial satellite of earth. Condition for creation of artificial satellite is that the centre of orbit of satellite must coincide with centre of earth or satellite must move around great circle of earth.
Orbital speed of a satellite is the velocity required to put the satellite into its orbit around the earth.
For motion of satellite around the earth, the gravitational pull provides the required centripetal force.
[As GM = gR2 and r = R + h]
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Angular Speed: The corresponding angular speed is,
w = v0/r
Putting , we obtain,
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Time Period of Revolution: The period of revolution
T = 2p/w
Putting,
Potential Energy: The Gravitational potential energy of the planet satellite system is,
PE = -GMm/r .
The negative sign shows that the satellite is subjected to planet's gravitational field.
Kinetic Energy: KE of a satellite in orbit is given by , KE = 1/2 mv02, where ,
KE = GMm/r.
Total Energy: The total mechanical energy of the satellite is equal to the sum of its potential and kinetic energies.
Total energy
The total energy is negative because the satellite is bound by the planet's gravitational field.
Angular Momentum: The angular speed of the satellite is shown by, L = mv0r.
Putting , we obtain, .
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