Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 16, Problem 24Q
To determine

The maximum wavelength shift that the astronomer will observe.

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Imagine a planet orbiting a star. Observations show a Doppler shift in the star's spectrum of 66 m/s over the 4.5 day orbit of the planet. What is the mass of the planet in kg? Assume the star has the same mass as the Sun (2.0 x 1030 kg), there are 365.25 days in a year, and 1AU = and 1.5 x 1011 m.
Barnard’s star is an orange star in the constellation Ophiuchus. It has the largest known proper motion (10.3577"/yr) and the fourth-largest parallax angle (0.54901"). In the spectrum of this star, the H alpha line is observed to have a wavelength of 656.034 nm when measured from the ground. a. Determine the radial velocity of Barnard’s star. b. Determine the transverse velocity of Barnard’s star. c. Calculate the speed of Barnard’s star through space.
A star has an element in its atmosphere that normally emits a line of frequency fs = 7.5 x 10^14 vib/s. If astronomers measure the frequency of this line to be fo = 7.7 x 10^14 vib/s, then how fast are the Earth and this star traveling relative to each other? Remember that the correct equation for the speed v is given by v = [(fo^2 - fs^2) / (fo^2 + fs^2)] c Remember fo^2 means "fo squared."
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