Answered: Model the Moon's orbit around the Earth…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 7PQ: Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest...

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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

r_A = 4.05 ✕ 10⁸ m,

and its closest distance (perigee) is

r_P = 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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