A near-Earth orbit (NEO) is a circular orbit at a height above the surface of the Earth that is very small compared to the radius of the Earth. On a NEO the acceleration due to gravity is essentially the same as that on the Earth’s surface. Determine the time it takes for a satellite to orbit the Earth in a circular NEO. Does your result depend on the mass of the satellite? Show your work, including diagrams, algebraic equations, and enough written explanations that somebody who is not familiar with the problem could understand what you are doing.

A near-Earth orbit (NEO) is a circular orbit at a height above the surface of the Earth that is very small compared to the radius of the Earth. On a NEO the acceleration due to gravity is essentially the same as that on the Earth’s surface. Determine the time it takes for a satellite to orbit the Earth in a circular NEO. Does your result depend on the mass of the satellite? Show your work, including diagrams, algebraic equations, and enough written explanations that somebody who is not familiar with the problem could understand what you are doing.