# Orbital Constants

**Classical Mechanics**Level 2

A satellite of mass \(m\) is orbiting a planet of mass \(M\) at a distance \(R\) of the planet's centroid. If \(\Gamma\) is the Potential Energy of the satellite, and its Kinetic Energy can be written as \(\alpha \Gamma\), \(\alpha \) a real constant, then the correct value of \({ \alpha }^{ -2 }\) is:

\(Details\): Consider that the satellite's dimensions are suffiently small and that the planet is sufficiently spherical, homogeneous and distant from the satellite. Assume that \(G\) as the Gravitational Constant