Model the Moon's orbit around the Earth as an ellipse with the Earth at one focus. The Moon's farthest distance (apogee) from the center of the Earth is  rA = 4.05 ✕ 108 m,  and its closest distance (perigee) is  rP = 3.63 ✕ 108 m. (a) Calculate the semimajor axis of the Moon's orbit. (Enter your answer to at least three significant figures.)  m

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 47P: Let gM represent the difference in the gravitational fields produced by the Moon at the points on...
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Model the Moon's orbit around the Earth as an ellipse with the Earth at one focus. The Moon's farthest distance (apogee) from the center of the Earth is 

rA = 4.05 ✕ 108 m,

 and its closest distance (perigee) is 

rP = 3.63 ✕ 108 m.
(a) Calculate the semimajor axis of the Moon's orbit. (Enter your answer to at least three significant figures.)
 m

(b) How far is the Earth from the center of the Moon's elliptical orbit?
 m

(c) Use a scale such as 
1 cm → 108
 m to sketch the Earth-Moon system at apogee and at perigee and the Moon's orbit. (Submit a file with a maximum size of 1 MB.)
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