Answer: The Earth moves faster in its orbit around the Sun

Chapter 18, Problem 23Q

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QUESTION:

Problem 23Q

Problem

The Earth moves faster in its orbit around the Sun in January than in July. Is the Earth closer to the Sun in January, or in July? Explain. [/Vote: This is not much of a factor in producing the seasons—the main factor is the tilt of the Earth's axis relative to the plane of its orbit.)

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QUESTION:

Problem 23Q

Problem

The Earth moves faster in its orbit around the Sun in January than in July. Is the Earth closer to the Sun in January, or in July? Explain. [/Vote: This is not much of a factor in producing the seasons—the main factor is the tilt of the Earth's axis relative to the plane of its orbit.)

ANSWER:

Step-by-step solution

Step 1

Kepler’s laws are describing the motion of planets around the Sun. Here are the laws:

  1. The orbit of a planet is an ellipse with the Sun at one of the two focuses
  2. A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
  3. The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

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