The moon travels an elliptical path with Earth as one focus. The maxium distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km. (1). What is the eccentricity of the orbit? (2). For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that A-P / A +P is equal to the eccentricity of the orbit. (3). Find the Apogee. Find the Perigee.
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