Problem 3
Suppose you are out looking at stars one night. At 2300 (11:00pm) you see a satellite straight above you, passing overhead. The next night you go out to the same spot again and at 2300 (11:00pm) you again see a satellite straight up above you, passing overhead. Is this the same satellite that you saw the previous night?
Suppose that the satellite is at an altitude (distance from Earths surface) of 242km and it has an orbital speed (speed at which it travels in the circle it makes around the very center of the Earth) of 27,539km/h. Take the point where you see the satellite to be 6378km from the Earths center. Take the orbit of the satellite to be a perfect circle.
HINT: Consider the distance the satellite travels in its orbit in the given time and the actual size of the orbit.
