Question

a satellite of mass M revolves around the earth of radius R at height H from its surface if g is the acceleration due to gravity on the surface of earth the orbital velocity of speed is

Answer 1

An Earth satellite of mass m revolves in a circular orbit at a height h from the surface of Earth. If E is the radius and g is the acceleration due to gravity, what is the velocity of the satellite in its orbit?

Answer

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2 ANSWERS



Samyak Jain, Hobby and aim

Answered Aug 17, 2017

Answer will be √(GM/h+E) where M is the mass of earth, G is the gravitational constant.

The velocity is independent of mass of the satellite.

For derivation compare the gravitational and centripetal forces

I.e.

let mass of object=m and mass of earth=M, total height =h+E=r

Centripetal force = gravitational force

0.mv^2/r=m x GM/(r^2)

Solve for V

You will get v^2=GM/R

So v=√(GM/R)

Also if you want to calculate in terms of acceleration due to gravity put g=GM/(r^2)

Answer 2

Answer:

hope it helps

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