The Essential Cosmic Perspective (8th Edition)
The Essential Cosmic Perspective (8th Edition)
8th Edition
ISBN: 9780134446431
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 10, Problem 1VSC
To determine

The time is taken by the star and the planet to complete one orbit around their center of mass.

Expert Solution & Answer
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Answer to Problem 1VSC

Solution:

The time taken is 5 days.

Explanation of Solution

Given data:

The below figure shows the periodic variations in the Doppler shift of a star caused by a planet orbiting around it. Positive velocities mean the star is moving away from the Earth and negative velocities mean that the star is moving towards Earth.

The Essential Cosmic Perspective (8th Edition), Chapter 10, Problem 1VSC

The orbital period for a planet detected by the Doppler method, the time between two points with the same velocity and slope in the velocity-time curve.

From the velocity-time graph, we find this time period to be 5 days.

Conclusion:

It takes 5 days for the star and the planet to complete one orbit around their center of mass.

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The Essential Cosmic Perspective (8th Edition)

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