Jet Planes, Rockets and Satellites :-Velocity of Artificial Satellite [Space Science][Physics]

Jet Planes, Rockets and Satellites :-

Velocity of Artificial Satellite :-

If m be the mass of the Satellite, M is the mass of Earth, R its Radius and V is the Velocity of Satellite, 

1) Centrifugal force on Satellite pulling the Satellite 📡 outwards away from the centre of the earth, taking the radius of the orbit of the Satellite 📡 to be the same as that of the earth, the Satellite being close to it. 

Centrifugal force on the Satellite 📡 = m.V.V/R

2) Gravitational force pulling the Satellite inwards towards the centre of the Earth. 

Gravitational pull on the Satellite 📡 = m. M.G/R.R,

For dynamic equilibrium of the Satellite 📡, Therefore, 

mVV/R= mMG/R.R

Whence, V.V=MG/R

V=√MG/R

Since, mg=m.GM/R.R, So MG/R=gR.

So that, V=√gR 

Gravitational force decreases with increase of Distance from the centre of the Earth. Gravitational force increases with decrease of Distance from the centre of the Earth.