An astronaut of mass \(m\) stands on the surface of a spherical planet with mass \(M\) and radius \(R\). The magnitude of the gravitational force exerted by the planet on the astronaut at the surface is \(F_0\). The astronaut then travels in a spacecraft to a scientific outpost located at a distance of \(2R\) above the planet's surface. What is the magnitude of the gravitational force exerted by the planet on the astronaut when they are at the outpost?