Answer:
[tex]K=\frac{GmM}{2R}[/tex]
Explanation:
The kinetic energy is defined as:
[tex]K=\frac{mv^2}{2}(1)[/tex]
Here, m is the object's mass and v its speed. In this case the speed of the satellite is the orbital speed, which is given by:
[tex]v_{orb}=\sqrt\frac{GM}{R}(2)[/tex]
Here, G is the gravitational constant, M is the mass of the object that the satellite is orbiting and R is the radius of its circular orbit. Replacing (2) in (1):
[tex]K=\frac{mv_{orb}^2}{2}\\K=\frac{m(\sqrt\frac{GM}{R})^2}{2}\\K=\frac{GmM}{2R}[/tex]
