21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 13, Problem 29QP

(a)

To determine

The reason for the star 2 having smaller orbit than star 1.

(b)

To determine

The sketch when the star 1 has low mass

(c)

To determine

The sketch when the star 1and star 2 has the same mass

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What makes us think that the star system Cygnus X-1 contains a black hole? A, It emits X rays characteristic of an accretion disk, but the unseen star in the system is too massive to be a neutron star. B. No light is emitted from this star system, so it must contain a black hole. C. The fact that we see strong X-ray emission tells us that the system must contain a black hole. D.Cygnus X-1 is a powerful X-ray burster, so it must contain a black hole.
Which of the following binary star systems cannot exist? A. A 1 solar-mass main sequence star and a 4 solar mass red giant with a size 100 times smaller than the orbital distance. B. A 15 solar-mass main sequence star and a 10 solar mass red giant with a size 100 times smaller than the orbital distance. C. A 1 solar-mass main sequence star and a 4 solar-mass main sequence star. D. A 2 solar-mass main sequence star and a 1 solar mass red giant with a size a few times smaller than the orbital distance.
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?
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