A satellite in Low Earth Orbit (LEO) travels about 7.8 kilometers per second, and takes about 90 minutes to circle the Earth. The Earth's radius is about 6378 kilometers.      •    What is the circumference of the orbit this satellite takes? How can you use this to determine the height above the earth at which the satellite is orbiting? Draw a picture to illustrate your ideas. If you have difficulty attaching an image, please reach out to me.     •    Find the equation of a circle representing this orbit, assuming the center of the Earth is at the origin. Explain how this is related to the Pythagorean theorem.     •    What is the height of this satellite?      •    How long does it take the satellite to pass through an angle of ?  over 3 radians? What angle does it pass through 90 minutes after this? Explain.     •    Express the angular velocity of the satellite in the following ways, showing all work:     •    Radians per second     •    Degrees per second     •    Revolutions per day

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