Gravitational Force on the Sun: Earth's Seasonal Variations

Chapter 5, Problem 39

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QUESTION: (a) What is the ratio of the gravitational force that Earth exerts on the Sun in the winter and the force that it exerts in the summer?
(b) How many correct answers can you give for part (a)? (Hint: Earth’s orbit is an ellipse with the Sun located at one of the foci of the ellipse. Think about the location of the observer on Earth.)

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QUESTION: (a) What is the ratio of the gravitational force that Earth exerts on the Sun in the winter and the force that it exerts in the summer?
(b) How many correct answers can you give for part (a)? (Hint: Earth’s orbit is an ellipse with the Sun located at one of the foci of the ellipse. Think about the location of the observer on Earth.)

ANSWER:

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Let's consider the standard data. 

The distance of Earth when it is closest to the Sun is \(147.1 \times {10^9}\;{\rm{meters}}\)

The distance of the Earth when it is farthest from the Sun is \(152.1 \times {10^9}\;{\rm{meters}}\)

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Gravitational Force on the Sun: Earth's Seasonal Variations
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Explore the intriguing interplay of Earth's elliptical orbit, the changing seasons, and the gravitational forces it exerts on the Sun. We'll provide insights into the ratio of these forces and challenge you to consider multiple perspectives on this celestial phenomenon.


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