A satellite of mass m orbits a planet of mass m and a radius r with a period of rotation t. Derive an expression for the altitude of the satellite above the panet's surface. a) If the mass of the planet doubles by what factor does the orbital frequency change if the satellites altitude remains unchanged?
b) If the original known values remain unchanged, describe the motion of the satellite in terms of velocity, speed, acceleration, and displacement over one full orbit.
c) If the original known values remain unchanged, describe what happens to the satellites orbit if it fires its engines and moves at a greater speed