Using Kepler's 3rd law and Newton's law of universal gravitation, find the period of revolution P of the planet as it moves around the sun. Assume that the mass of the planet is much smaller than the mass of the sun. Use G for the gravitational constant. Express the period in terms of G, M§, R1, and R2.

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Chapter7: Gravity
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Problem 04
A planet moves in an elliptical orbit around the sun. The
mass of the sun is Mg. The minimum and maximum
distances of the planet from the sun are Ri and R2,
respectively.
Part A
Using Kepler's 3rd law and Newton's law of universal
gravitation, find the period of revolution P of the planet
as it moves around the sun. Assume that the mass of
the planet is much smaller than the mass of the sun.
Use G for the gravitational constant.
Express the period in terms of G, M§, R1, and R2.
• View Available Hint(s)
ΑΣφ
n²(R, + R, )³
P
2GM
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Transcribed Image Text:A planet moves in an elliptical orbit around the sun. The mass of the sun is Mg. The minimum and maximum distances of the planet from the sun are Ri and R2, respectively. Part A Using Kepler's 3rd law and Newton's law of universal gravitation, find the period of revolution P of the planet as it moves around the sun. Assume that the mass of the planet is much smaller than the mass of the sun. Use G for the gravitational constant. Express the period in terms of G, M§, R1, and R2. • View Available Hint(s) ΑΣφ n²(R, + R, )³ P 2GM Submit Previous Answers X Incorrect; Try Again; 5 attempts remainina
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