Answer:
The radius of orbit will increase by 4, the satellite will move away from the Earth
Explanation:
The orbital speed of any body revolving in an orbit around another boyd is given by:
v (orbital) = √(G · M(central body)/R)
Where G is the gravitation constant.
If the body, e.g satellite is moving around the Earth, then the mass of central body M will also be a constant. Therefore, the only thing on which the orbital velocity will depend on will be Radius of the orbit R.
v ∝ 1/√R
√R ∝ 1/v
Take square:
R ∝ 1/v²
If the velocity of satellite is reduce to half, then:
R' ∝ 1/ (v/2)²
R' ∝ 1/(v²/4)
R' ∝ (4)(1/v²)
R' ∝ (4)(R)
The radius of orbit will increase by 4, the satellite will move away from the Earth
