Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 16, Problem 15Q
To determine
Whether the lifetime of Sirius is greater than, less than, or the same as that of the Sun. It is given that Sirius has mass 2.3 times that of the Sun.
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Let us imagine that the spectrum of a star is collected and we find the absorption line of Hydrogen-Alpha (the deepest absorption line of hydrogen in the visible part of
the electromagnetic spectrum) to be observed at 656.5 nm instead of 656.3 nm as measured in a lab here on Earth. What is the velocity of this star in
m/s? (Hint: speed of light is 3*10^8 m/s; leave the units off of your answer)
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Let us imagine that the spectrum of a star is collected and we find the absorption line of Hydrogen-Alpha (the deepest absorption line of hydrogen in the visible part of the electromagnetic spectrum) to be observed at 656.5 nm instead of 656.3 nm as measured in a lab here on Earth. What is the velocity of this star in m/s? (Hint: speed of light is 3*10^8 m/s; leave the units off of your answer)
Star A and Star B are a bound binary at a distance of 20 pc from the Earth. Their
separation is 30 AU. Star A has a mass twice that of Star B. The orbital period of the
binary is 100 years. Assume the stars orbit in circular orbits.
a. What is the parallax of Star A, in units of arcsec? Assume parallax is measured from
the Earth. For part a, ignore the presence of the binary companion.
b.
What is the angular separation we would observe between Star A and Star B, in
units of arcsec? If we compare multiple images of this star system taken across
different months and years, which source of motion will be the dominant effect?
What is the total mass of the binary system (combined mass of Star A and Star B)?
Provide your answer in both kg and solar masses.
c.
d. What is the distance from Star A to the center of mass of the binary system?
Chapter 16 Solutions
Universe
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