In order for a satellite to remain in a circular orbit above the same spot on earth, the satellite must be 35,800 km above the equator. write an equation for the orbit of the satellite. use the center of earth as the origin and 6400 km for the radius of the earth

The equation of a circle, knowing its center and its radius is

if we have to assume the center of the Earth as the origin, the center is and the equation reduces to

The radius is the distance from the center. We know that from the Earth center to the surface it's 6400 km. Then, the satellite is 38500 additional km away from the surface. So, the satellite is

km away from the center.

So, the equation is

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