Lunar Orbit For an object in an elliptical orbit around themoon, the points in the orbit

Chapter 11, Problem 67

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Lunar Orbit For an object in an elliptical orbit around themoon, the points in the orbit that are closest to and farthest fromthe center of the moon are called perilune and apolune, respectively.These are the vertices of the orbit. The center of themoon is at one focus of the orbit. The Apollo 11 spacecraft wasplaced in a lunar orbit with perilune at 68 mi and apolune at195 mi above the surface of the moon. Assuming that the moonis a sphere of radius 1075 mi, find an equation for the orbit ofApollo 11. (Place the coordinate axes so that the origin is at thecenter of the orbit and the foci are located on the x-axis.)

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