Orbital Constants

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

D e t a i l s 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 G as the Gravitational Constant


The answer is 4.

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