Essential Cosmic Perspective, The, Books a la Carte Edition & Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for The Essential Cosmic Perspective Package
Essential Cosmic Perspective, The, Books a la Carte Edition & Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for The Essential Cosmic Perspective Package
1st Edition
ISBN: 9780133879216
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
Check Mark

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.

Essential Cosmic Perspective, The, Books a la Carte Edition & Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for The Essential Cosmic Perspective Package, 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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