The International Space Station (158) orbits the Earth at an (average) altitude of 248 miles. For this project, suppose that [SS travels along a great cirrte which means a. circle around the Earth priming over the North and South poles (the true poles rather than magnetic). a If the radius of the Earth is 3950 miles. what is the radium of {58's orbit? 0 Dene the center of the Earth to be the origin. Construct the equation of the circle oentem'l at the origin that describe! the orbit of 135. o If [38 travels 50\"! miles along its orbit, what is the measure of the angle subtended by thin art: in both radiates and degm? Suppose that the starting point, aka the 3 o'clock position, is above the equator near Quito, Equador. If the counter-clockwise direction is north, meaning from Quito toward the north. calculate the coordinates in miles of [SS after traveling 5000 miles along its orbit. This is ignoring the third dimension; work in a. two-dimensional plane which is accurate for great circle orbits. Using the coordinates you computed from the previous part, show that they satisfy your circle equation or explain why it. doesn't. work